Abstract group data - 960.11067

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '40.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [4, 4, 12, 6, 12, 4], 'aut_gens': [[1959255, 2879547, 2031892, 2300963, 2001847], [3662955, 3189655, 2030946, 2300963, 2001847], [3662955, 936662, 3252437, 1278743, 128745], [3662955, 2030049, 115274, 3195405, 1960223], [3662955, 254846, 156898, 2342587, 128745], [3662955, 1024572, 3720976, 298147, 128745], [1959255, 936662, 582823, 1278743, 128745]], 'aut_group': None, 'aut_hash': 4508704614955838314, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6144, 'aut_permdeg': 52, 'aut_perms': [72229531562281434355516845056731037966014645310323831769608119184776, 76437622261969062800358526628006512760029312498369226685341572225325, 76437626473948181324066753748859427159394977904610787763169338455358, 49583253924496989563214889252837570918120784314061507086137653022345, 7383552325318410975550796736157691495579646378027041301187571933365, 77441101020996640240446189695587781643362990063826783857810738934030], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 3, 1, 2], [2, 3, 2, 1], [3, 8, 1, 1], [4, 2, 2, 1], [4, 6, 2, 1], [4, 12, 4, 2], [5, 1, 4, 1], [6, 8, 1, 1], [6, 8, 2, 1], [10, 1, 4, 1], [10, 1, 8, 1], [10, 3, 4, 2], [10, 3, 8, 1], [12, 8, 4, 1], [15, 8, 4, 1], [20, 2, 8, 1], [20, 6, 8, 1], [20, 12, 16, 2], [30, 8, 4, 1], [30, 8, 8, 1], [60, 8, 16, 1]], 'aut_supersolvable': False, 'aut_tex': '(C_2^4\\times A_4).C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '128.1031', 'autcent_hash': 1031, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3.C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '48.48', 'autcentquo_hash': 48, 'autcentquo_nilpotent': False, 'autcentquo_order': 48, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2\\times S_4', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 3, 4], [3, 8, 1], [4, 2, 2], [4, 6, 2], [4, 12, 8], [5, 1, 4], [6, 8, 3], [10, 1, 12], [10, 3, 16], [12, 8, 4], [15, 8, 4], [20, 2, 8], [20, 6, 8], [20, 12, 32], [30, 8, 12], [60, 8, 16]], 'center_label': '20.5', 'center_order': 20, 'central_product': True, 'central_quotient': '48.48', 'commutator_count': 1, 'commutator_label': '24.13', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 11067, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['5.1', 1], ['96.185', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 3, 1, 4], [3, 8, 1, 1], [4, 2, 1, 2], [4, 6, 1, 2], [4, 12, 1, 8], [5, 1, 4, 1], [6, 8, 1, 3], [10, 1, 4, 3], [10, 3, 4, 4], [12, 8, 2, 2], [15, 8, 4, 1], [20, 2, 4, 2], [20, 6, 4, 2], [20, 12, 4, 8], [30, 8, 4, 3], [60, 8, 8, 2]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 39060, 'exponent': 60, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '480.1198', 'hash': 11067, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [1, 2, 6, 2, 2], 'inner_gens': [[1959255, 2879547, 2031892, 2300963, 2001847], [1959255, 2879547, 1377443, 469485, 2001847], [1959255, 2029081, 2031892, 469485, 1960223], [1959255, 1005521, 156898, 2300963, 2001847], [1959255, 2879547, 115274, 2300963, 2001847]], 'inner_hash': 48, 'inner_nilpotent': False, 'inner_order': 48, 'inner_split': False, 'inner_tex': 'C_2\\times S_4', 'inner_used': [2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 40], [2, 50], [3, 40], [6, 10]], 'label': '960.11067', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'A4:Q8*C10', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 28, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 140, 'number_divisions': 52, 'number_normal_subgroups': 70, 'number_subgroup_autclasses': 160, 'number_subgroup_classes': 330, 'number_subgroups': 1068, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 15], [3, 8], [4, 112], [5, 4], [6, 24], [10, 60], [12, 32], [15, 32], [20, 448], [30, 96], [60, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4, 4], 'outer_gen_pows': [2486917, 2486917, 85185, 85185, 85185], 'outer_gens': [[3662955, 962929, 3720976, 2300963, 2001847], [1959255, 3189655, 2414279, 810225, 2001847], [1959255, 955713, 2031892, 2300963, 2001847], [1959255, 2879547, 2031892, 256523, 2001847], [3662955, 955713, 114284, 2300963, 2001847]], 'outer_group': '128.1031', 'outer_hash': 1031, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [5167, 16680, 127387560, 127387582, 216074880], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3.C_2^4', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [3, 8], [4, 10], [6, 2], [8, 6], [12, 8], [16, 2], [24, 2]], 'representations': {'PC': {'code': 19869075773353293235867443950001539067476192189116973132, 'gens': [1, 2, 3, 6, 8], 'pres': [8, 2, 2, 2, 2, 3, 2, 5, 2, 201, 538, 66, 651, 91, 652, 12685, 6357, 4637, 1621, 141, 3863, 5791, 999]}, 'GLZN': {'d': 2, 'p': 44, 'gens': [2837945, 2486917, 1959255, 766665, 2445403, 1788885, 86153, 2002815]}, 'Perm': {'d': 19, 'gens': [6446835208720080, 6423383673907200, 6423384760461360, 33, 1614937680, 13581593164339200, 6402460884019200, 6423296495616000]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 10], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_4:Q_8\\times C_{10}', 'transitive_degree': 240, '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: 177359630
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 11067, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 85185, 'size': 1}
  • id: 177359682
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 11067, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 1788885, 'size': 1}
  • id: 177359693
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 11067, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 1959255, 'size': 1}
  • id: 177359704
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 11067, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 3662955, 'size': 1}
  • id: 177359715
    {'aut_label': '2D', 'centralizer': '3.a1', 'counter': 5, 'group_counter': 11067, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1960223, 'size': 3}
  • id: 177359726
    {'aut_label': '2E', 'centralizer': '3.a1', 'counter': 6, 'group_counter': 11067, 'group_order': 960, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 86153, 'size': 3}
  • id: 177359737
    {'aut_label': '2E', 'centralizer': '3.a1', 'counter': 7, 'group_counter': 11067, 'group_order': 960, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 1789853, 'size': 3}
  • id: 177359748
    {'aut_label': '2G', 'centralizer': '3.a1', 'counter': 8, 'group_counter': 11067, 'group_order': 960, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 3705547, 'size': 3}
  • id: 177359759
    {'aut_label': '3A', 'centralizer': '8.c1', 'counter': 9, 'group_counter': 11067, 'group_order': 960, 'label': '3A', 'order': 3, 'powers': [9, 1, 9], 'representative': 1304672, 'size': 8}
  • id: 177359631
    {'aut_label': '4A', 'centralizer': '2.a1', 'counter': 10, 'group_counter': 11067, 'group_order': 960, 'label': '4A', 'order': 4, 'powers': [2, 10, 10], 'representative': 2486917, 'size': 2}
  • id: 177359642
    {'aut_label': '4A', 'centralizer': '2.a1', 'counter': 11, 'group_counter': 11067, 'group_order': 960, 'label': '4B', 'order': 4, 'powers': [2, 11, 11], 'representative': 612847, 'size': 2}
  • id: 177359653
    {'aut_label': '4C', 'centralizer': '6.a1', 'counter': 12, 'group_counter': 11067, 'group_order': 960, 'label': '4C', 'order': 4, 'powers': [2, 12, 12], 'representative': 611879, 'size': 6}
  • id: 177359664
    {'aut_label': '4C', 'centralizer': '6.a1', 'counter': 13, 'group_counter': 11067, 'group_order': 960, 'label': '4D', 'order': 4, 'powers': [2, 13, 13], 'representative': 2485949, 'size': 6}
  • id: 177359675
    {'aut_label': '4E', 'centralizer': '12.e1', 'counter': 14, 'group_counter': 11067, 'group_order': 960, 'label': '4E', 'order': 4, 'powers': [2, 14, 14], 'representative': 2879547, 'size': 12}
  • id: 177359677
    {'aut_label': '4F', 'centralizer': '12.f1', 'counter': 15, 'group_counter': 11067, 'group_order': 960, 'label': '4F', 'order': 4, 'powers': [8, 15, 15], 'representative': 2837945, 'size': 12}
  • id: 177359678
    {'aut_label': '4E', 'centralizer': '12.e1', 'counter': 16, 'group_counter': 11067, 'group_order': 960, 'label': '4G', 'order': 4, 'powers': [2, 16, 16], 'representative': 2085312, 'size': 12}
  • id: 177359679
    {'aut_label': '4F', 'centralizer': '12.f1', 'counter': 17, 'group_counter': 11067, 'group_order': 960, 'label': '4H', 'order': 4, 'powers': [8, 17, 17], 'representative': 254824, 'size': 12}
  • id: 177359680
    {'aut_label': '4E', 'centralizer': '12.e1', 'counter': 18, 'group_counter': 11067, 'group_order': 960, 'label': '4I', 'order': 4, 'powers': [2, 18, 18], 'representative': 962929, 'size': 12}
  • id: 177359681
    {'aut_label': '4F', 'centralizer': '12.f1', 'counter': 19, 'group_counter': 11067, 'group_order': 960, 'label': '4J', 'order': 4, 'powers': [8, 19, 19], 'representative': 1006467, 'size': 12}
  • id: 177359683
    {'aut_label': '4E', 'centralizer': '12.e1', 'counter': 20, 'group_counter': 11067, 'group_order': 960, 'label': '4K', 'order': 4, 'powers': [2, 20, 20], 'representative': 2128872, 'size': 12}
  • id: 177359684
    {'aut_label': '4F', 'centralizer': '12.f1', 'counter': 21, 'group_counter': 11067, 'group_order': 960, 'label': '4L', 'order': 4, 'powers': [8, 21, 21], 'representative': 211264, 'size': 12}
  • id: 177359685
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 11067, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [24, 25, 1], 'representative': 2129625, 'size': 1}
  • id: 177359686
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 11067, 'group_order': 960, 'label': '5A-1', 'order': 5, 'powers': [25, 24, 1], 'representative': 3151845, 'size': 1}
  • id: 177359687
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 11067, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [23, 22, 1], 'representative': 766665, 'size': 1}
  • id: 177359688
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 11067, 'group_order': 960, 'label': '5A-2', 'order': 5, 'powers': [22, 23, 1], 'representative': 425925, 'size': 1}
  • id: 177359689
    {'aut_label': '6A', 'centralizer': '8.c1', 'counter': 26, 'group_counter': 11067, 'group_order': 960, 'label': '6A', 'order': 6, 'powers': [9, 3, 26], 'representative': 2403801, 'size': 8}
  • id: 177359690
    {'aut_label': '6A', 'centralizer': '8.c1', 'counter': 27, 'group_counter': 11067, 'group_order': 960, 'label': '6B', 'order': 6, 'powers': [9, 4, 27], 'representative': 2530588, 'size': 8}
  • id: 177359691
    {'aut_label': '6C', 'centralizer': '8.c1', 'counter': 28, 'group_counter': 11067, 'group_order': 960, 'label': '6C', 'order': 6, 'powers': [9, 2, 28], 'representative': 614916, 'size': 8}
  • id: 177359692
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 11067, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [24, 31, 2], 'representative': 3492585, 'size': 1}
  • id: 177359694
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 11067, 'group_order': 960, 'label': '10A-1', 'order': 10, 'powers': [25, 32, 2], 'representative': 2470365, 'size': 1}
  • id: 177359695
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 11067, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [22, 30, 2], 'representative': 1448145, 'size': 1}
  • id: 177359696
    {'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 11067, 'group_order': 960, 'label': '10A-3', 'order': 10, 'powers': [23, 29, 2], 'representative': 1107405, 'size': 1}
  • id: 177359697
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 11067, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [22, 35, 3], 'representative': 2299995, 'size': 1}
  • id: 177359698
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 11067, 'group_order': 960, 'label': '10B-1', 'order': 10, 'powers': [23, 36, 3], 'representative': 2640735, 'size': 1}
  • id: 177359699
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 11067, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [25, 34, 3], 'representative': 1277775, 'size': 1}
  • id: 177359700
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 11067, 'group_order': 960, 'label': '10B-3', 'order': 10, 'powers': [24, 33, 3], 'representative': 255555, 'size': 1}
  • id: 177359701
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 11067, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [22, 39, 4], 'representative': 3322215, 'size': 1}
  • id: 177359702
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 11067, 'group_order': 960, 'label': '10C-1', 'order': 10, 'powers': [23, 40, 4], 'representative': 2981475, 'size': 1}
  • id: 177359703
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 11067, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [25, 38, 4], 'representative': 596295, 'size': 1}
  • id: 177359705
    {'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 11067, 'group_order': 960, 'label': '10C-3', 'order': 10, 'powers': [24, 37, 4], 'representative': 1618515, 'size': 1}
  • id: 177359706
    {'aut_label': '10D1', 'centralizer': '3.a1', 'counter': 41, 'group_counter': 11067, 'group_order': 960, 'label': '10D1', 'order': 10, 'powers': [22, 43, 5], 'representative': 2300963, 'size': 3}
  • id: 177359707
    {'aut_label': '10D1', 'centralizer': '3.a1', 'counter': 42, 'group_counter': 11067, 'group_order': 960, 'label': '10D-1', 'order': 10, 'powers': [23, 44, 5], 'representative': 2683327, 'size': 3}
  • id: 177359708
    {'aut_label': '10D1', 'centralizer': '3.a1', 'counter': 43, 'group_counter': 11067, 'group_order': 960, 'label': '10D3', 'order': 10, 'powers': [25, 42, 5], 'representative': 1278743, 'size': 3}
  • id: 177359709
    {'aut_label': '10D1', 'centralizer': '3.a1', 'counter': 44, 'group_counter': 11067, 'group_order': 960, 'label': '10D-3', 'order': 10, 'powers': [24, 41, 5], 'representative': 298147, 'size': 3}
  • id: 177359710
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 45, 'group_counter': 11067, 'group_order': 960, 'label': '10E1', 'order': 10, 'powers': [22, 47, 6], 'representative': 426893, 'size': 3}
  • id: 177359711
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 46, 'group_counter': 11067, 'group_order': 960, 'label': '10E-1', 'order': 10, 'powers': [23, 48, 6], 'representative': 809257, 'size': 3}
  • id: 177359712
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 47, 'group_counter': 11067, 'group_order': 960, 'label': '10E3', 'order': 10, 'powers': [25, 46, 6], 'representative': 3152813, 'size': 3}
  • id: 177359713
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 48, 'group_counter': 11067, 'group_order': 960, 'label': '10E-3', 'order': 10, 'powers': [24, 45, 6], 'representative': 2172217, 'size': 3}
  • id: 177359714
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 49, 'group_counter': 11067, 'group_order': 960, 'label': '10F1', 'order': 10, 'powers': [22, 51, 7], 'representative': 1449113, 'size': 3}
  • id: 177359716
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 50, 'group_counter': 11067, 'group_order': 960, 'label': '10F-1', 'order': 10, 'powers': [23, 52, 7], 'representative': 1149997, 'size': 3}
  • id: 177359717
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 51, 'group_counter': 11067, 'group_order': 960, 'label': '10F3', 'order': 10, 'powers': [25, 50, 7], 'representative': 2471333, 'size': 3}
  • id: 177359718
    {'aut_label': '10E1', 'centralizer': '3.a1', 'counter': 52, 'group_counter': 11067, 'group_order': 960, 'label': '10F-3', 'order': 10, 'powers': [24, 49, 7], 'representative': 3535177, 'size': 3}
  • id: 177359719
    {'aut_label': '10G1', 'centralizer': '3.a1', 'counter': 53, 'group_counter': 11067, 'group_order': 960, 'label': '10G1', 'order': 10, 'powers': [24, 55, 8], 'representative': 1661107, 'size': 3}
  • id: 177359720
    {'aut_label': '10G1', 'centralizer': '3.a1', 'counter': 54, 'group_counter': 11067, 'group_order': 960, 'label': '10G-1', 'order': 10, 'powers': [25, 56, 8], 'representative': 638887, 'size': 3}
  • id: 177359721
    {'aut_label': '10G1', 'centralizer': '3.a1', 'counter': 55, 'group_counter': 11067, 'group_order': 960, 'label': '10G3', 'order': 10, 'powers': [22, 54, 8], 'representative': 3364807, 'size': 3}
  • id: 177359722
    {'aut_label': '10G1', 'centralizer': '3.a1', 'counter': 56, 'group_counter': 11067, 'group_order': 960, 'label': '10G-3', 'order': 10, 'powers': [23, 53, 8], 'representative': 3024067, 'size': 3}
  • id: 177359723
    {'aut_label': '12A1', 'centralizer': '8.c1', 'counter': 57, 'group_counter': 11067, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [28, 10, 58], 'representative': 2414279, 'size': 8}
  • id: 177359724
    {'aut_label': '12A1', 'centralizer': '8.c1', 'counter': 58, 'group_counter': 11067, 'group_order': 960, 'label': '12A5', 'order': 12, 'powers': [28, 10, 57], 'representative': 2031892, 'size': 8}
  • id: 177359725
    {'aut_label': '12A1', 'centralizer': '8.c1', 'counter': 59, 'group_counter': 11067, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [28, 11, 60], 'representative': 2457817, 'size': 8}
  • id: 177359727
    {'aut_label': '12A1', 'centralizer': '8.c1', 'counter': 60, 'group_counter': 11067, 'group_order': 960, 'label': '12B5', 'order': 12, 'powers': [28, 11, 59], 'representative': 114284, 'size': 8}
  • id: 177359728
    {'aut_label': '15A1', 'centralizer': '8.c1', 'counter': 61, 'group_counter': 11067, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [63, 22, 9], 'representative': 2754975, 'size': 8}
  • id: 177359729
    {'aut_label': '15A1', 'centralizer': '8.c1', 'counter': 62, 'group_counter': 11067, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [64, 23, 9], 'representative': 2682204, 'size': 8}
  • id: 177359730
    {'aut_label': '15A1', 'centralizer': '8.c1', 'counter': 63, 'group_counter': 11067, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [62, 24, 9], 'representative': 2380908, 'size': 8}
  • id: 177359731
    {'aut_label': '15A1', 'centralizer': '8.c1', 'counter': 64, 'group_counter': 11067, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [61, 25, 9], 'representative': 3461283, 'size': 8}
  • id: 177359732
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 65, 'group_counter': 11067, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [29, 67, 10], 'representative': 1186249, 'size': 2}
  • id: 177359733
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 66, 'group_counter': 11067, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [30, 68, 10], 'representative': 2160793, 'size': 2}
  • id: 177359734
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 67, 'group_counter': 11067, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [31, 66, 10], 'representative': 450753, 'size': 2}
  • id: 177359735
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 68, 'group_counter': 11067, 'group_order': 960, 'label': '20A-3', 'order': 20, 'powers': [32, 65, 10], 'representative': 1836561, 'size': 2}
  • id: 177359736
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 69, 'group_counter': 11067, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [29, 71, 11], 'representative': 3060319, 'size': 2}
  • id: 177359738
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 70, 'group_counter': 11067, 'group_order': 960, 'label': '20B-1', 'order': 20, 'powers': [30, 72, 11], 'representative': 286723, 'size': 2}
  • id: 177359739
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 71, 'group_counter': 11067, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [31, 70, 11], 'representative': 2324823, 'size': 2}
  • id: 177359740
    {'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 72, 'group_counter': 11067, 'group_order': 960, 'label': '20B-3', 'order': 20, 'powers': [32, 69, 11], 'representative': 3710631, 'size': 2}
  • id: 177359741
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 73, 'group_counter': 11067, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [29, 75, 12], 'representative': 3059351, 'size': 6}
  • id: 177359742
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 74, 'group_counter': 11067, 'group_order': 960, 'label': '20C-1', 'order': 20, 'powers': [30, 76, 12], 'representative': 1631875, 'size': 6}
  • id: 177359743
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 75, 'group_counter': 11067, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [31, 74, 12], 'representative': 3385475, 'size': 6}
  • id: 177359744
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 76, 'group_counter': 11067, 'group_order': 960, 'label': '20C-3', 'order': 20, 'powers': [32, 73, 12], 'representative': 3668039, 'size': 6}
  • id: 177359745
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 77, 'group_counter': 11067, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [29, 79, 13], 'representative': 1185281, 'size': 6}
  • id: 177359746
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 78, 'group_counter': 11067, 'group_order': 960, 'label': '20D-1', 'order': 20, 'powers': [30, 80, 13], 'representative': 3505945, 'size': 6}
  • id: 177359747
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 79, 'group_counter': 11067, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [31, 78, 13], 'representative': 1511405, 'size': 6}
  • id: 177359749
    {'aut_label': '20C1', 'centralizer': '6.a1', 'counter': 80, 'group_counter': 11067, 'group_order': 960, 'label': '20D-3', 'order': 20, 'powers': [32, 77, 13], 'representative': 1793969, 'size': 6}
  • id: 177359750
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 81, 'group_counter': 11067, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [32, 83, 14], 'representative': 2886763, 'size': 12}
  • id: 177359751
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 82, 'group_counter': 11067, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [31, 84, 14], 'representative': 2848747, 'size': 12}
  • id: 177359752
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 83, 'group_counter': 11067, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [29, 82, 14], 'representative': 2895915, 'size': 12}
  • id: 177359753
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 84, 'group_counter': 11067, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [30, 81, 14], 'representative': 2825163, 'size': 12}
  • id: 177359754
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 85, 'group_counter': 11067, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [53, 87, 15], 'representative': 2852377, 'size': 12}
  • id: 177359755
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 86, 'group_counter': 11067, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [54, 88, 15], 'representative': 2868745, 'size': 12}
  • id: 177359756
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 87, 'group_counter': 11067, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [55, 86, 15], 'representative': 2892329, 'size': 12}
  • id: 177359757
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 88, 'group_counter': 11067, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [56, 85, 15], 'representative': 2845161, 'size': 12}
  • id: 177359758
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 89, 'group_counter': 11067, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [32, 91, 16], 'representative': 2466172, 'size': 12}
  • id: 177359760
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 90, 'group_counter': 11067, 'group_order': 960, 'label': '20G-1', 'order': 20, 'powers': [31, 92, 16], 'representative': 738048, 'size': 12}
  • id: 177359761
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 91, 'group_counter': 11067, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [29, 90, 16], 'representative': 2759912, 'size': 12}
  • id: 177359762
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 92, 'group_counter': 11067, 'group_order': 960, 'label': '20G-3', 'order': 20, 'powers': [30, 89, 16], 'representative': 3432576, 'size': 12}
  • id: 177359763
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 93, 'group_counter': 11067, 'group_order': 960, 'label': '20H1', 'order': 20, 'powers': [53, 95, 17], 'representative': 927488, 'size': 12}
  • id: 177359764
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 94, 'group_counter': 11067, 'group_order': 960, 'label': '20H-1', 'order': 20, 'powers': [54, 96, 17], 'representative': 3476158, 'size': 12}
  • id: 177359765
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 95, 'group_counter': 11067, 'group_order': 960, 'label': '20H3', 'order': 20, 'powers': [55, 94, 17], 'representative': 2570472, 'size': 12}
  • id: 177359766
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 96, 'group_counter': 11067, 'group_order': 960, 'label': '20H-3', 'order': 20, 'powers': [56, 93, 17], 'representative': 2422634, 'size': 12}
  • id: 177359767
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 97, 'group_counter': 11067, 'group_order': 960, 'label': '20I1', 'order': 20, 'powers': [32, 99, 18], 'representative': 970145, 'size': 12}
  • id: 177359768
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 98, 'group_counter': 11067, 'group_order': 960, 'label': '20I-1', 'order': 20, 'powers': [31, 100, 18], 'representative': 1017313, 'size': 12}
  • id: 177359769
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 99, 'group_counter': 11067, 'group_order': 960, 'label': '20I3', 'order': 20, 'powers': [29, 98, 18], 'representative': 979297, 'size': 12}
  • id: 177359632
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 100, 'group_counter': 11067, 'group_order': 960, 'label': '20I-3', 'order': 20, 'powers': [30, 97, 18], 'representative': 993729, 'size': 12}
  • id: 177359633
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 101, 'group_counter': 11067, 'group_order': 960, 'label': '20J1', 'order': 20, 'powers': [53, 103, 19], 'representative': 1020899, 'size': 12}
  • id: 177359634
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 102, 'group_counter': 11067, 'group_order': 960, 'label': '20J-1', 'order': 20, 'powers': [54, 104, 19], 'representative': 952083, 'size': 12}
  • id: 177359635
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 103, 'group_counter': 11067, 'group_order': 960, 'label': '20J3', 'order': 20, 'powers': [55, 102, 19], 'representative': 975667, 'size': 12}
  • id: 177359636
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 104, 'group_counter': 11067, 'group_order': 960, 'label': '20J-3', 'order': 20, 'powers': [56, 101, 19], 'representative': 1013683, 'size': 12}
  • id: 177359637
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 105, 'group_counter': 11067, 'group_order': 960, 'label': '20K1', 'order': 20, 'powers': [32, 107, 20], 'representative': 2422612, 'size': 12}
  • id: 177359638
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 106, 'group_counter': 11067, 'group_order': 960, 'label': '20K-1', 'order': 20, 'powers': [31, 108, 20], 'representative': 696424, 'size': 12}
  • id: 177359639
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 107, 'group_counter': 11067, 'group_order': 960, 'label': '20K3', 'order': 20, 'powers': [29, 106, 20], 'representative': 2801536, 'size': 12}
  • id: 177359640
    {'aut_label': '20E1', 'centralizer': '12.e1', 'counter': 108, 'group_counter': 11067, 'group_order': 960, 'label': '20K-3', 'order': 20, 'powers': [30, 105, 20], 'representative': 3476136, 'size': 12}
  • id: 177359641
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 109, 'group_counter': 11067, 'group_order': 960, 'label': '20L1', 'order': 20, 'powers': [53, 111, 21], 'representative': 885864, 'size': 12}
  • id: 177359643
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 110, 'group_counter': 11067, 'group_order': 960, 'label': '20L-1', 'order': 20, 'powers': [54, 112, 21], 'representative': 3432598, 'size': 12}
  • id: 177359644
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 111, 'group_counter': 11067, 'group_order': 960, 'label': '20L3', 'order': 20, 'powers': [55, 110, 21], 'representative': 2612096, 'size': 12}
  • id: 177359645
    {'aut_label': '20F1', 'centralizer': '12.f1', 'counter': 112, 'group_counter': 11067, 'group_order': 960, 'label': '20L-3', 'order': 20, 'powers': [56, 109, 21], 'representative': 2466194, 'size': 12}
  • id: 177359646
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 113, 'group_counter': 11067, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [61, 33, 26], 'representative': 162004, 'size': 8}
  • id: 177359647
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 114, 'group_counter': 11067, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [62, 34, 26], 'representative': 463300, 'size': 8}
  • id: 177359648
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 115, 'group_counter': 11067, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [63, 36, 26], 'representative': 2144108, 'size': 8}
  • id: 177359649
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 116, 'group_counter': 11067, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [64, 35, 26], 'representative': 808156, 'size': 8}
  • id: 177359650
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 117, 'group_counter': 11067, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [61, 37, 27], 'representative': 373977, 'size': 8}
  • id: 177359651
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 118, 'group_counter': 11067, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [62, 38, 27], 'representative': 1784613, 'size': 8}
  • id: 177359652
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 119, 'group_counter': 11067, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [63, 40, 27], 'representative': 1080285, 'size': 8}
  • id: 177359654
    {'aut_label': '30A1', 'centralizer': '8.c1', 'counter': 120, 'group_counter': 11067, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [64, 39, 27], 'representative': 1276695, 'size': 8}
  • id: 177359655
    {'aut_label': '30C1', 'centralizer': '8.c1', 'counter': 121, 'group_counter': 11067, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [63, 29, 28], 'representative': 1036703, 'size': 8}
  • id: 177359656
    {'aut_label': '30C1', 'centralizer': '8.c1', 'counter': 122, 'group_counter': 11067, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [64, 30, 28], 'representative': 2983544, 'size': 8}
  • id: 177359657
    {'aut_label': '30C1', 'centralizer': '8.c1', 'counter': 123, 'group_counter': 11067, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [62, 32, 28], 'representative': 1741075, 'size': 8}
  • id: 177359658
    {'aut_label': '30C1', 'centralizer': '8.c1', 'counter': 124, 'group_counter': 11067, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [61, 31, 28], 'representative': 3673256, 'size': 8}
  • id: 177359659
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 125, 'group_counter': 11067, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [121, 65, 57], 'representative': 257624, 'size': 8}
  • id: 177359660
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 126, 'group_counter': 11067, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [122, 66, 57], 'representative': 1288120, 'size': 8}
  • id: 177359661
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 127, 'group_counter': 11067, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [123, 68, 58], 'representative': 2732127, 'size': 8}
  • id: 177359662
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 128, 'group_counter': 11067, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [124, 67, 58], 'representative': 2573181, 'size': 8}
  • id: 177359663
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 129, 'group_counter': 11067, 'group_order': 960, 'label': '60A13', 'order': 60, 'powers': [124, 67, 57], 'representative': 2360240, 'size': 8}
  • id: 177359665
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 130, 'group_counter': 11067, 'group_order': 960, 'label': '60A-13', 'order': 60, 'powers': [123, 68, 57], 'representative': 2690480, 'size': 8}
  • id: 177359666
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 131, 'group_counter': 11067, 'group_order': 960, 'label': '60A19', 'order': 60, 'powers': [122, 66, 58], 'representative': 2098323, 'size': 8}
  • id: 177359667
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 132, 'group_counter': 11067, 'group_order': 960, 'label': '60A-19', 'order': 60, 'powers': [121, 65, 58], 'representative': 3453007, 'size': 8}
  • id: 177359668
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 133, 'group_counter': 11067, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [121, 69, 59], 'representative': 2175232, 'size': 8}
  • id: 177359669
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 134, 'group_counter': 11067, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [122, 70, 59], 'representative': 3205728, 'size': 8}
  • id: 177359670
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 135, 'group_counter': 11067, 'group_order': 960, 'label': '60B7', 'order': 60, 'powers': [123, 72, 60], 'representative': 2775665, 'size': 8}
  • id: 177359671
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 136, 'group_counter': 11067, 'group_order': 960, 'label': '60B-7', 'order': 60, 'powers': [124, 71, 60], 'representative': 2616763, 'size': 8}
  • id: 177359672
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 137, 'group_counter': 11067, 'group_order': 960, 'label': '60B13', 'order': 60, 'powers': [124, 71, 59], 'representative': 444568, 'size': 8}
  • id: 177359673
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 138, 'group_counter': 11067, 'group_order': 960, 'label': '60B-13', 'order': 60, 'powers': [123, 72, 59], 'representative': 772872, 'size': 8}
  • id: 177359674
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 139, 'group_counter': 11067, 'group_order': 960, 'label': '60B19', 'order': 60, 'powers': [122, 70, 60], 'representative': 2054785, 'size': 8}
  • id: 177359676
    {'aut_label': '60A1', 'centralizer': '8.c1', 'counter': 140, 'group_counter': 11067, 'group_order': 960, 'label': '60B-19', 'order': 60, 'powers': [121, 69, 60], 'representative': 3409469, 'size': 8}
• 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: 18609749
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18609760
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1], 'schur_index': 1}
  • id: 18609771
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1], 'schur_index': 1}
  • id: 18609782
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 18609793
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 18609797
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18609798
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18609799
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18609757
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -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: 18609758
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, -2, -1, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, -1, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -1, -1, 1, 1, -1, -1, -1, -1, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 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: 18609759
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, -2, -1, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, -1, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 1, 1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 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: 18609761
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -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: 18609762
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2e', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 18609763
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2f', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 18609775
    {'cdim': 3, 'counter': 33, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3a', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -1, -1, -1, -1, 0, 3, 3, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609776
    {'cdim': 3, 'counter': 34, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3b', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -1, -1, -1, -1, 0, 3, 3, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609777
    {'cdim': 3, 'counter': 35, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3c', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, -3, -3, -1, 1, -1, 1, 0, -3, 3, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 3, 3, 3, 3, 0, 0, 0, 3, -3, 3, -3, 3, -3, -3, -3, -3, -3, -3, 3, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, 3, 3, 3, 3, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609778
    {'cdim': 3, 'counter': 36, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3d', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, -3, -3, -1, 1, -1, 1, 0, -3, 3, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 3, 3, 3, 3, 0, 0, 0, 3, -3, 3, -3, 3, -3, -3, -3, -3, -3, -3, 3, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, 3, 3, 3, 3, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609779
    {'cdim': 3, 'counter': 37, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3e', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, -3, -3, -1, 1, -1, 1, 0, 3, -3, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 3, 3, 3, 3, 0, 0, 0, 3, -3, 3, -3, 3, -3, -3, -3, -3, -3, -3, 3, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, -3, -3, -3, -3, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609780
    {'cdim': 3, 'counter': 38, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3f', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, -3, -3, -1, 1, -1, 1, 0, 3, -3, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 3, 3, 3, 3, 0, 0, 0, 3, -3, 3, -3, 3, -3, -3, -3, -3, -3, -3, 3, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, -3, -3, -3, -3, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609781
    {'cdim': 3, 'counter': 39, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3g', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -1, -1, -1, -1, 0, -3, -3, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609783
    {'cdim': 3, 'counter': 40, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3h', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -1, -1, -1, -1, 0, -3, -3, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609800
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1i', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 18609750
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1j', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -1, -1, -1, -1, -4, -4, 4, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 4, 4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 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: 18609751
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1k', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -1, -1, -1, -1, -4, -4, 4, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 4, 4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 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: 18609752
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1l', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 4, -4, 4, 4, -4, 4, -4, -4, 4, -4, 4, 4, 4, -4, -4, -1, -1, -1, -1, -4, -4, 4, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -4, -4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 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: 18609753
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1m', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 4, -4, 4, 4, -4, 4, -4, 4, -4, 4, -4, -4, -4, 4, 4, -1, -1, -1, -1, -4, -4, 4, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -4, -4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 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: 18609754
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1n', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -4, 4, 4, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -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: 18609755
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1o', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -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: 18609756
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.1p', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -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: 18609764
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2g', 'multiplicity': 2, 'nt': [24, 5], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, -4, 4, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2, -2, 2, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 4, -4, -4, 4, 4, -4, -4, 4, 4, -4, -4, 4, 4, 4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 18609765
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2h', 'multiplicity': 2, 'nt': [24, 5], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, 4, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -2, 2, 2, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 18609792
    {'cdim': 6, 'counter': 49, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.6a', 'multiplicity': 1, 'nt': [24, 87], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, 6, 6, 6, 6, -6, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 18609794
    {'cdim': 6, 'counter': 50, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.6b', 'multiplicity': 1, 'nt': [24, 87], 'qdim': 6, 'qvalues': [6, -6, 6, -6, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, -6, 6, -6, 6, -6, 6, 6, -6, -6, -6, -6, -6, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 18609766
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2i', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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: 18609767
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2j', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, -8, -4, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 4, 4, -4, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -4, -4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -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: 18609768
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2k', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, -8, -4, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 4, 4, -4, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 4, 4, -4, -4, 1, 1, 1, 1, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -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: 18609769
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2l', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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: 18609770
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2m', 'multiplicity': 4, 'nt': [40, 5], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, -8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, 8, -8, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609772
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2n', 'multiplicity': 4, 'nt': [40, 5], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 8, -8, -8, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609784
    {'cdim': 3, 'counter': 41, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3i', 'multiplicity': 4, 'nt': [20, 34], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, 12, 12, -4, -4, 4, -4, -4, -4, 4, 4, 4, -4, -3, -3, -3, -3, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609785
    {'cdim': 3, 'counter': 42, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3j', 'multiplicity': 4, 'nt': [30, 34], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, 12, 12, -4, -4, -4, 4, 4, 4, -4, -4, -4, 4, -3, -3, -3, -3, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609786
    {'cdim': 3, 'counter': 43, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3k', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -4, 4, -4, 4, 0, -12, 12, 4, -4, -4, 4, 4, -4, -4, 4, 4, -4, -3, -3, -3, -3, 0, 0, 0, -3, 3, -3, 3, -3, 3, 3, 3, 3, 3, 3, -3, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, -3, -3, -3, -3, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609787
    {'cdim': 3, 'counter': 44, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3l', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -4, 4, -4, 4, 0, -12, 12, 4, -4, 4, -4, -4, 4, 4, -4, -4, 4, -3, -3, -3, -3, 0, 0, 0, -3, 3, -3, 3, -3, 3, 3, 3, 3, 3, 3, -3, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, -3, -3, -3, -3, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609788
    {'cdim': 3, 'counter': 45, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3m', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -4, 4, -4, 4, 0, 12, -12, -4, 4, -4, -4, 4, -4, 4, 4, -4, 4, -3, -3, -3, -3, 0, 0, 0, -3, 3, -3, 3, -3, 3, 3, 3, 3, 3, 3, -3, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, 3, 3, 3, 3, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609789
    {'cdim': 3, 'counter': 46, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3n', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -4, 4, -4, 4, 0, 12, -12, -4, 4, 4, 4, -4, 4, -4, -4, 4, -4, -3, -3, -3, -3, 0, 0, 0, -3, 3, -3, 3, -3, 3, 3, 3, 3, 3, 3, -3, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, 3, 3, 3, 3, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609790
    {'cdim': 3, 'counter': 47, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3o', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, -12, -12, 4, 4, -4, -4, 4, 4, 4, -4, 4, -4, -3, -3, -3, -3, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609791
    {'cdim': 3, 'counter': 48, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.3p', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, -12, -12, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, -3, -3, -3, -3, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609773
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2o', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, -16, -16, 16, 16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, -8, 8, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, 4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609774
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.2p', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -16, 16, 16, -16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -8, 8, 8, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 4, -4, 4, -4, 4, -4, 4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609795
    {'cdim': 6, 'counter': 51, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.6c', 'multiplicity': 4, 'nt': [120, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, 6, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18609796
    {'cdim': 6, 'counter': 52, 'faithful': False, 'group': '960.11067', 'group_order': 960, 'image': None, 'label': '960.11067.6d', 'multiplicity': 4, 'nt': [120, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 0, 0, 0, 6, -6, 6, -6, 6, -6, -6, 6, 6, 6, 6, 6, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• 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: 39852938
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 960, 'label': '960.11067.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39852990
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 480, 'label': '960.11067.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39853001
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 480, 'label': '960.11067.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39853012
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 480, 'label': '960.11067.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39853023
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 480, 'label': '960.11067.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39853034
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 480, 'label': '960.11067.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39853045
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 480, 'label': '960.11067.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39853056
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 480, 'label': '960.11067.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39853067
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 192, 'label': '960.11067.1i1', 'nt': [5, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]]]}
  • id: 39852939
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 192, 'label': '960.11067.1i2', 'nt': [5, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]]]}
  • id: 39852950
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 192, 'label': '960.11067.1i3', 'nt': [5, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]]]}
  • id: 39852961
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 192, 'label': '960.11067.1i4', 'nt': [5, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]]]}
  • id: 39852972
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 13, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1j1', 'nt': [10, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]]]}
  • id: 39852983
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 14, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1j2', 'nt': [10, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]]]}
  • id: 39852985
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 15, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1j3', 'nt': [10, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]]]}
  • id: 39852986
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 16, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1j4', 'nt': [10, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]]]}
  • id: 39852987
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1k1', 'nt': [10, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]]]}
  • id: 39852988
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1k2', 'nt': [10, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]]]}
  • id: 39852989
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1k3', 'nt': [10, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]]]}
  • id: 39852991
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1k4', 'nt': [10, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]]]}
  • id: 39852992
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1l1', 'nt': [10, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]]]}
  • id: 39852993
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 22, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1l2', 'nt': [10, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]]]}
  • id: 39852994
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 23, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1l3', 'nt': [10, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]]]}
  • id: 39852995
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1l4', 'nt': [10, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]]]}
  • id: 39852996
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 25, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1m1', 'nt': [10, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]]]}
  • id: 39852997
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1m2', 'nt': [10, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]]]}
  • id: 39852998
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1m3', 'nt': [10, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]]]}
  • id: 39852999
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 28, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1', 'kernel_order': 96, 'label': '960.11067.1m4', 'nt': [10, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]]]}
  • id: 39853000
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1n1', 'nt': [10, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]]]}
  • id: 39853002
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 30, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1n2', 'nt': [10, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]]]}
  • id: 39853003
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1n3', 'nt': [10, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]]]}
  • id: 39853004
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1n4', 'nt': [10, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]]]}
  • id: 39853005
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 33, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1o1', 'nt': [10, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]]]}
  • id: 39853006
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 34, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1o2', 'nt': [10, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]]]}
  • id: 39853007
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 35, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1o3', 'nt': [10, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]]]}
  • id: 39853008
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 36, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1', 'kernel_order': 96, 'label': '960.11067.1o4', 'nt': [10, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]]]}
  • id: 39853009
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 37, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 96, 'label': '960.11067.1p1', 'nt': [10, 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, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]]]}
  • id: 39853010
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 38, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 96, 'label': '960.11067.1p2', 'nt': [10, 4], '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, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]]]}
  • id: 39853011
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 39, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 96, 'label': '960.11067.1p3', 'nt': [10, 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, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]]]}
  • id: 39853013
    {'center': '1.a1', 'center_index': 1, 'center_order': 960, 'counter': 40, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 96, 'label': '960.11067.1p4', 'nt': [10, 4], '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, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]]]}
  • id: 39853014
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 41, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 160, 'label': '960.11067.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 39853015
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  • id: 39853016
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 43, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 80, 'label': '960.11067.2c', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 39853017
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 44, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 80, 'label': '960.11067.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 39853018
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 45, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.b1', 'kernel_order': 120, 'label': '960.11067.2e', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853019
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 46, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.b1', 'kernel_order': 120, 'label': '960.11067.2f', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853020
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 47, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '24.4', 'image_order': 24, 'indicator': -1, 'kernel': '24.c1', 'kernel_order': 40, 'label': '960.11067.2g1', 'nt': [24, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 39853021
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 48, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '24.4', 'image_order': 24, 'indicator': -1, 'kernel': '24.c1', 'kernel_order': 40, 'label': '960.11067.2g2', 'nt': [24, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 39853022
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 49, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '24.4', 'image_order': 24, 'indicator': -1, 'kernel': '24.c1', 'kernel_order': 40, 'label': '960.11067.2h1', 'nt': [24, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 39853024
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 50, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '24.4', 'image_order': 24, 'indicator': -1, 'kernel': '24.c1', 'kernel_order': 40, 'label': '960.11067.2h2', 'nt': [24, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 39853025
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 51, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1', 'kernel_order': 32, 'label': '960.11067.2i1', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]]]}
  • id: 39853026
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 52, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1', 'kernel_order': 32, 'label': '960.11067.2i2', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]]]}
  • id: 39853027
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 53, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1', 'kernel_order': 32, 'label': '960.11067.2i3', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]]]}
  • id: 39853028
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 54, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1', 'kernel_order': 32, 'label': '960.11067.2i4', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]]]}
  • id: 39853029
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 55, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2j1', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 1]], [[-2, -2]], [[2, -1]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[2, -2]], [[2, 2]], [[-2, -2]], [[-2, -1]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 2]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 2]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[2, -1]], [[2, 1]], [[-2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]]]}
  • id: 39853030
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 56, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2j2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, -1]], [[-2, 2]], [[2, 1]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[2, 2]], [[2, -2]], [[-2, 2]], [[-2, 1]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -2]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, -2]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[2, 1]], [[2, -1]], [[-2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]]]}
  • id: 39853031
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 57, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2j3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, -2]], [[-2, -1]], [[2, 2]], [[-2, 2]], [[2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, 1]], [[2, 2]], [[2, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[2, 2]], [[2, -2]], [[-2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]]]}
  • id: 39853032
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 58, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2j4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 2]], [[-2, 1]], [[2, -2]], [[-2, -2]], [[2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -2]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, -1]], [[2, -2]], [[2, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[2, -2]], [[2, 2]], [[-2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]]]}
  • id: 39853033
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 59, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2k1', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 1]], [[-2, -2]], [[2, -1]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[2, -2]], [[2, 2]], [[-2, -2]], [[-2, -1]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[-2, 2]], [[2, -1]], [[2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, 2]], [[2, 1]], [[2, -2]], [[2, 2]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]]]}
  • id: 39853035
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 60, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2k2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, -1]], [[-2, 2]], [[2, 1]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[2, 2]], [[2, -2]], [[-2, 2]], [[-2, 1]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[-2, -2]], [[2, 1]], [[2, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]]]}
  • id: 39853036
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 61, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2k3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, -2]], [[-2, -1]], [[2, 2]], [[-2, 2]], [[2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[-2, 1]], [[2, 2]], [[2, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, -2]], [[2, -1]], [[2, 1]], [[-2, 2]], [[-2, -2]], [[2, 2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]]]}
  • id: 39853037
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 62, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.11067.2k4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 2]], [[-2, 1]], [[2, -2]], [[-2, -2]], [[2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -2]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[-2, -1]], [[2, -2]], [[2, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 2]], [[2, 1]], [[2, -1]], [[-2, -2]], [[-2, 2]], [[2, -2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]]]}
  • id: 39853038
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 63, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1', 'kernel_order': 16, 'label': '960.11067.2l1', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]]]}
  • id: 39853039
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 64, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1', 'kernel_order': 16, 'label': '960.11067.2l2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]]]}
  • id: 39853040
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 65, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1', 'kernel_order': 16, 'label': '960.11067.2l3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]]]}
  • id: 39853041
    {'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 66, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1', 'kernel_order': 16, 'label': '960.11067.2l4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]]]}
  • id: 39853042
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 67, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '40.11', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 24, 'label': '960.11067.2m1', 'nt': [40, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[-2, 2]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[-2, 2]], [[2, 1]], [[2, -2]], [[-2, 2]], [[-2, -2]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, -2]], [[2, 2]], [[2, 2]], [[2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 2]], [[2, 2]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853043
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 68, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '40.11', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 24, 'label': '960.11067.2m2', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[-2, -2]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[-2, -2]], [[2, -1]], [[2, 2]], [[-2, -2]], [[-2, 2]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, 2]], [[2, -2]], [[2, -2]], [[2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -2]], [[2, -2]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853044
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 69, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '40.11', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 24, 'label': '960.11067.2m3', 'nt': [40, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[-2, 1]], [[-2, 2]], [[2, -1]], [[-2, -2]], [[-2, 1]], [[2, -2]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[2, 2]], [[2, -2]], [[-2, 2]], [[-2, -1]], [[2, 1]], [[2, 1]], [[2, 2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-2, -2]], [[2, -2]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853046
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  • id: 39853047
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 71, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '40.11', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 24, 'label': '960.11067.2n1', 'nt': [40, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, -2]], [[-2, -1]], [[2, -1]], [[-2, -2]], [[2, 1]], [[2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 2]], [[2, -1]], [[-2, -2]], [[2, 1]], [[2, 2]], [[-2, 1]], [[2, -2]], [[-2, 2]], [[2, -2]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[-2, -2]], [[2, 2]], [[-2, 2]], [[2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 2]], [[-2, 2]], [[2, 1]], [[-2, 1]], [[2, -1]], [[-2, 1]], [[2, 2]], [[2, -2]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853048
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 72, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '40.11', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 24, 'label': '960.11067.2n2', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[2, 2]], [[-2, 1]], [[2, 1]], [[-2, 2]], [[2, -1]], [[2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -2]], [[2, 1]], [[-2, 2]], [[2, -1]], [[2, -2]], [[-2, -1]], [[2, 2]], [[-2, -2]], [[2, 2]], [[-2, 1]], [[2, -1]], [[-2, 1]], [[-2, 2]], [[2, -2]], [[-2, -2]], [[2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[2, -1]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[2, -2]], [[2, 2]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853049
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 73, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '40.11', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 24, 'label': '960.11067.2n3', 'nt': [40, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, -2]], [[2, -1]], [[-2, 2]], [[2, 2]], [[-2, -1]], [[2, -2]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[2, -2]], [[2, 1]], [[-2, -2]], [[2, -1]], [[-2, 1]], [[2, -1]], [[-2, 2]], [[2, -2]], [[-2, 2]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[2, 2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, -2]], [[-2, -2]], [[2, 2]], [[-2, -2]], [[2, 1]], [[2, -1]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853050
    {'center': '4.a1', 'center_index': 4, 'center_order': 240, 'counter': 74, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '40.11', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 24, 'label': '960.11067.2n4', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 2]], [[2, 1]], [[-2, -2]], [[2, -2]], [[-2, 1]], [[2, 2]], [[2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[2, 2]], [[2, -1]], [[-2, 2]], [[2, 1]], [[-2, -1]], [[2, 1]], [[-2, -2]], [[2, 2]], [[-2, -2]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[2, -2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 2]], [[-2, 2]], [[2, -2]], [[-2, 2]], [[2, -1]], [[2, 1]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853051
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 75, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2o1', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[2, 12]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 12]], [[2, 6]], [[2, 18]], [[2, 18]], [[2, 6]], [[-2, 12]], [[-2, 24]], [[-2, 6]], [[-2, 18]], [[2, 12]], [[2, 24]], [[-2, 24]], [[2, 18]], [[-2, 6]], [[-2, 12]], [[-2, 24]], [[2, 12]], [[-2, 6]], [[-2, 24]], [[2, 6]], [[-2, 18]], [[2, 12]], [[2, 18]], [[2, 6]], [[2, 24]], [[2, 24]], [[-2, 18]], [[-2, 12]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 12]], [[-1, 24]], [[1, 6]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 24]], [[-1, 24]], [[1, 12]], [[-1, 12]], [[-1, 18]], [[1, 12]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[1, 6]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 11]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 11]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 3], [-2, 13]], [[-1, 3], [2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 11]], [[1, 3], [-2, 13]]]}
  • id: 39853052
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  • id: 39853053
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 77, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2o3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[2, 12]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 12]], [[2, 6]], [[2, 18]], [[2, 18]], [[2, 6]], [[-2, 12]], [[-2, 24]], [[-2, 6]], [[-2, 18]], [[2, 12]], [[2, 24]], [[-2, 24]], [[2, 18]], [[-2, 6]], [[-2, 12]], [[-2, 24]], [[2, 12]], [[-2, 6]], [[-2, 24]], [[2, 6]], [[-2, 18]], [[2, 12]], [[2, 18]], [[2, 6]], [[2, 24]], [[2, 24]], [[-2, 18]], [[-2, 12]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 12]], [[-1, 24]], [[1, 6]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 24]], [[-1, 24]], [[1, 12]], [[-1, 12]], [[-1, 18]], [[1, 12]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-2, 13]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [2, 13]], [[1, 3], [-2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [2, 13]]]}
  • id: 39853054
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 78, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2o4', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[2, 12]], [[-2, 6]], [[-2, 18]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 18]], [[-2, 24]], [[-2, 12]], [[-2, 12]], [[-2, 24]], [[2, 18]], [[2, 6]], [[2, 24]], [[2, 12]], [[-2, 18]], [[-2, 6]], [[2, 6]], [[-2, 12]], [[2, 24]], [[2, 18]], [[2, 6]], [[-2, 18]], [[2, 24]], [[2, 6]], [[-2, 24]], [[2, 12]], [[-2, 18]], [[-2, 12]], [[-2, 24]], [[-2, 6]], [[-2, 6]], [[2, 12]], [[2, 18]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 18]], [[1, 6]], [[-1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24]], [[-1, 6]], [[1, 6]], [[-1, 18]], [[1, 18]], [[1, 12]], [[-1, 18]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 12]], [[-1, 24]], [[-1, 3], [2, 13]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 3], [-2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 3], [2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]]]}
  • id: 39853055
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 79, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2o5', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 24]], [[2, 12]], [[-2, 6]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 6]], [[2, 18]], [[-2, 24]], [[-2, 24]], [[2, 18]], [[2, 6]], [[-2, 12]], [[-2, 18]], [[2, 24]], [[-2, 6]], [[2, 12]], [[-2, 12]], [[-2, 24]], [[-2, 18]], [[2, 6]], [[-2, 12]], [[-2, 6]], [[-2, 18]], [[-2, 12]], [[2, 18]], [[2, 24]], [[-2, 6]], [[-2, 24]], [[2, 18]], [[2, 12]], [[2, 12]], [[2, 24]], [[2, 6]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 6]], [[-1, 12]], [[1, 18]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18]], [[1, 12]], [[-1, 12]], [[-1, 6]], [[1, 6]], [[1, 24]], [[-1, 6]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 24]], [[1, 18]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 3], [-2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]]]}
  • id: 39853057
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 80, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2o6', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 24]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 24]], [[2, 18]], [[2, 12]], [[-2, 6]], [[2, 24]], [[-2, 18]], [[2, 18]], [[2, 6]], [[2, 12]], [[-2, 24]], [[2, 18]], [[2, 24]], [[2, 12]], [[2, 18]], [[-2, 12]], [[-2, 6]], [[2, 24]], [[2, 6]], [[-2, 12]], [[-2, 18]], [[-2, 18]], [[-2, 6]], [[-2, 24]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 24]], [[1, 18]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12]], [[-1, 18]], [[1, 18]], [[1, 24]], [[-1, 24]], [[-1, 6]], [[1, 24]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 3], [2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [2, 13]], [[1, 3], [-2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 3], [-2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]]]}
  • id: 39853058
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  • id: 39853059
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 82, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2o8', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 24]], [[-2, 12]], [[2, 6]], [[2, 6]], [[-2, 12]], [[-2, 24]], [[2, 18]], [[2, 12]], [[-2, 6]], [[2, 24]], [[-2, 18]], [[2, 18]], [[2, 6]], [[2, 12]], [[-2, 24]], [[2, 18]], [[2, 24]], [[2, 12]], [[2, 18]], [[-2, 12]], [[-2, 6]], [[2, 24]], [[2, 6]], [[-2, 12]], [[-2, 18]], [[-2, 18]], [[-2, 6]], [[-2, 24]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 24]], [[1, 18]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12]], [[-1, 18]], [[1, 18]], [[1, 24]], [[-1, 24]], [[-1, 6]], [[1, 24]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [-2, 13]], [[-1, 3], [2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]]]}
  • id: 39853060
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 83, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2p1', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[2, 12]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 12]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[2, 12]], [[2, 24]], [[2, 6]], [[2, 18]], [[-2, 12]], [[-2, 24]], [[-2, 24]], [[-2, 18]], [[2, 6]], [[2, 12]], [[2, 24]], [[-2, 12]], [[-2, 6]], [[-2, 24]], [[-2, 6]], [[2, 18]], [[2, 12]], [[2, 18]], [[2, 6]], [[2, 24]], [[-2, 24]], [[-2, 18]], [[-2, 12]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 12]], [[-1, 24]], [[1, 6]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 24]], [[1, 24]], [[-1, 12]], [[1, 12]], [[1, 18]], [[1, 12]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 18]], [[-1, 6]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 11]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 3], [-2, 13]], [[-1, 3], [2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 11]], [[-1, 3], [2, 13]]]}
  • id: 39853061
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 84, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2p2', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 24]], [[2, 12]], [[-2, 6]], [[-2, 18]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 18]], [[2, 24]], [[-2, 12]], [[2, 12]], [[-2, 24]], [[-2, 18]], [[-2, 6]], [[-2, 24]], [[-2, 12]], [[2, 18]], [[2, 6]], [[2, 6]], [[2, 12]], [[-2, 24]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 24]], [[2, 6]], [[2, 24]], [[-2, 12]], [[-2, 18]], [[-2, 12]], [[-2, 24]], [[-2, 6]], [[2, 6]], [[2, 12]], [[2, 18]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 18]], [[1, 6]], [[-1, 24]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24]], [[-1, 6]], [[-1, 6]], [[1, 18]], [[-1, 18]], [[-1, 12]], [[-1, 18]], [[1, 6]], [[-1, 24]], [[1, 12]], [[1, 12]], [[1, 24]], [[-1, 3], [2, 13]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 11]], [[1, 1], [1, 11]], [[1, 3], [-2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]]]}
  • id: 39853062
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 85, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2p3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[2, 12]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 12]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[2, 12]], [[2, 24]], [[2, 6]], [[2, 18]], [[-2, 12]], [[-2, 24]], [[-2, 24]], [[-2, 18]], [[2, 6]], [[2, 12]], [[2, 24]], [[-2, 12]], [[-2, 6]], [[-2, 24]], [[-2, 6]], [[2, 18]], [[2, 12]], [[2, 18]], [[2, 6]], [[2, 24]], [[-2, 24]], [[-2, 18]], [[-2, 12]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 12]], [[-1, 24]], [[1, 6]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 24]], [[1, 24]], [[-1, 12]], [[1, 12]], [[1, 18]], [[1, 12]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 11]], [[-1, 3], [2, 13]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [2, 13]], [[1, 3], [-2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-2, 13]]]}
  • id: 39853063
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  • id: 39853064
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 87, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2p5', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 24]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 6]], [[-2, 18]], [[-2, 24]], [[2, 24]], [[2, 18]], [[-2, 6]], [[2, 12]], [[2, 18]], [[-2, 24]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 24]], [[2, 18]], [[-2, 6]], [[2, 12]], [[2, 6]], [[-2, 18]], [[-2, 12]], [[-2, 18]], [[-2, 24]], [[-2, 6]], [[-2, 24]], [[2, 18]], [[2, 12]], [[-2, 12]], [[2, 24]], [[2, 6]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 6]], [[-1, 12]], [[1, 18]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18]], [[1, 12]], [[1, 12]], [[1, 6]], [[-1, 6]], [[-1, 24]], [[-1, 6]], [[-1, 12]], [[1, 18]], [[1, 24]], [[1, 24]], [[-1, 18]], [[1, 1], [1, 11]], [[1, 1], [1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 3], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 3], [-2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]]]}
  • id: 39853065
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 88, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2p6', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 24]], [[2, 12]], [[2, 6]], [[-2, 6]], [[-2, 12]], [[2, 24]], [[-2, 18]], [[-2, 12]], [[2, 6]], [[-2, 24]], [[2, 18]], [[2, 18]], [[-2, 6]], [[-2, 12]], [[2, 24]], [[-2, 18]], [[-2, 24]], [[2, 12]], [[2, 18]], [[2, 12]], [[2, 6]], [[2, 24]], [[2, 6]], [[-2, 12]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 24]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 24]], [[1, 18]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12]], [[-1, 18]], [[-1, 18]], [[-1, 24]], [[1, 24]], [[1, 6]], [[1, 24]], [[1, 18]], [[-1, 12]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [2, 13]], [[-1, 3], [2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 3], [-2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]]]}
  • id: 39853066
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 89, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2p7', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18]], [[2, 24]], [[2, 12]], [[-2, 6]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 6]], [[-2, 18]], [[-2, 24]], [[2, 24]], [[2, 18]], [[-2, 6]], [[2, 12]], [[2, 18]], [[-2, 24]], [[2, 6]], [[-2, 12]], [[-2, 12]], [[2, 24]], [[2, 18]], [[-2, 6]], [[2, 12]], [[2, 6]], [[-2, 18]], [[-2, 12]], [[-2, 18]], [[-2, 24]], [[-2, 6]], [[-2, 24]], [[2, 18]], [[2, 12]], [[-2, 12]], [[2, 24]], [[2, 6]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 6]], [[-1, 12]], [[1, 18]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18]], [[1, 12]], [[1, 12]], [[1, 6]], [[-1, 6]], [[-1, 24]], [[-1, 6]], [[-1, 12]], [[1, 18]], [[1, 24]], [[1, 24]], [[-1, 18]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 11]], [[1, 3], [-2, 13]], [[1, 1], [1, 11]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]]]}
  • id: 39853068
    {'center': '12.a1', 'center_index': 12, 'center_order': 80, 'counter': 90, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.21', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.11067.2p8', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-2, 18]], [[2, 24]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 24]], [[2, 12]], [[2, 6]], [[-2, 6]], [[-2, 12]], [[2, 24]], [[-2, 18]], [[-2, 12]], [[2, 6]], [[-2, 24]], [[2, 18]], [[2, 18]], [[-2, 6]], [[-2, 12]], [[2, 24]], [[-2, 18]], [[-2, 24]], [[2, 12]], [[2, 18]], [[2, 12]], [[2, 6]], [[2, 24]], [[2, 6]], [[-2, 12]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 24]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 24]], [[1, 18]], [[-1, 12]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12]], [[-1, 18]], [[-1, 18]], [[-1, 24]], [[1, 24]], [[1, 6]], [[1, 24]], [[1, 18]], [[-1, 12]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 3], [2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [-2, 13]], [[1, 3], [-2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]]]}
  • id: 39853069
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 91, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1', 'kernel_order': 40, 'label': '960.11067.3a', 'nt': [4, 5], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853070
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  • id: 39853071
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 93, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.b1', 'kernel_order': 20, 'label': '960.11067.3c', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853072
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 94, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.b1', 'kernel_order': 20, 'label': '960.11067.3d', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853073
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 95, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.b1', 'kernel_order': 20, 'label': '960.11067.3e', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853074
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 96, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.b1', 'kernel_order': 20, 'label': '960.11067.3f', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853075
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 97, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 20, 'label': '960.11067.3g', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853076
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 98, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 20, 'label': '960.11067.3h', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39853077
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 99, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3i1', 'nt': [20, 34], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[3, 2]], [[3, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852940
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 100, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3i2', 'nt': [20, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[3, -2]], [[3, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852941
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 101, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3i3', 'nt': [20, 34], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[3, 1]], [[3, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852942
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 102, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3i4', 'nt': [20, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[3, -1]], [[3, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852943
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 103, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3j1', 'nt': [30, 34], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[3, 2]], [[3, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852944
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 104, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3j2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[3, -2]], [[3, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852945
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 105, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3j3', 'nt': [30, 34], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[3, 1]], [[3, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852946
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 106, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '120.37', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.11067.3j4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[3, -1]], [[3, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852947
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 107, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3k1', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[-3, -2]], [[3, -1]], [[-3, -1]], [[3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[-3, 2]], [[3, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852948
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 108, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3k2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[-3, 2]], [[3, 1]], [[-3, 1]], [[3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[-3, -2]], [[3, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852949
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 109, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3k3', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[-3, -1]], [[3, 2]], [[-3, 2]], [[3, -1]], [[-3, -2]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[-3, 1]], [[3, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852951
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 110, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3k4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[-3, 1]], [[3, -2]], [[-3, -2]], [[3, 1]], [[-3, 2]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[-3, -1]], [[3, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852952
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 111, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3l1', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[-3, -2]], [[3, -1]], [[-3, -1]], [[3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[-3, 2]], [[3, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852953
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 112, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3l2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[-3, 2]], [[3, 1]], [[-3, 1]], [[3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[-3, -2]], [[3, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852954
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 113, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3l3', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[-3, -1]], [[3, 2]], [[-3, 2]], [[3, -1]], [[-3, -2]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[-3, 1]], [[3, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852955
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 114, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3l4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[-3, 1]], [[3, -2]], [[-3, -2]], [[3, 1]], [[-3, 2]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[-3, -1]], [[3, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852956
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 115, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3m1', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[-3, -2]], [[3, -1]], [[-3, -1]], [[3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[-3, 2]], [[3, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852957
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 116, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3m2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[-3, 2]], [[3, 1]], [[-3, 1]], [[3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[-3, -2]], [[3, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852958
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 117, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3m3', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[-3, -1]], [[3, 2]], [[-3, 2]], [[3, -1]], [[-3, -2]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[-3, 1]], [[3, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852959
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 118, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3m4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[-3, 1]], [[3, -2]], [[-3, -2]], [[3, 1]], [[-3, 2]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[-3, -1]], [[3, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852960
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 119, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3n1', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[-3, -2]], [[3, -1]], [[-3, -1]], [[3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[-3, 2]], [[3, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852962
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 120, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3n2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[-3, 2]], [[3, 1]], [[-3, 1]], [[3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[-3, -2]], [[3, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852963
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 121, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3n3', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[-3, -1]], [[3, 2]], [[-3, 2]], [[3, -1]], [[-3, -2]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[-3, 1]], [[3, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852964
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 122, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.b1', 'kernel_order': 4, 'label': '960.11067.3n4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[-3, 1]], [[3, -2]], [[-3, -2]], [[3, 1]], [[-3, 2]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[-3, -1]], [[3, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852965
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 123, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3o1', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[3, 2]], [[3, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852966
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 124, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3o2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[3, -2]], [[3, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852967
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 125, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3o3', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[3, 1]], [[3, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852968
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 126, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3o4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[3, -1]], [[3, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852969
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 127, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3p1', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -2]], [[3, -1]], [[3, 1]], [[3, 2]], [[3, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, -2]], [[-3, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852970
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 128, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3p2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 2]], [[3, 1]], [[3, -1]], [[3, -2]], [[3, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 2]], [[-3, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852971
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 129, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3p3', 'nt': [30, 65], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 2]], [[3, 1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, -1]], [[3, 2]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, -1]], [[3, 2]], [[3, -2]], [[3, 1]], [[3, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[-3, 2]], [[-3, 2]], [[-3, -2]], [[-3, -1]], [[-3, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852973
    {'center': '24.a1', 'center_index': 24, 'center_order': 40, 'counter': 130, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1', 'kernel_order': 4, 'label': '960.11067.3p4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, -2]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 1]], [[3, -2]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, 1]], [[3, -2]], [[3, 2]], [[3, -1]], [[3, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[-3, -2]], [[-3, -2]], [[-3, 2]], [[-3, 1]], [[-3, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852974
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 131, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '96.185', 'image_order': 96, 'indicator': -1, 'kernel': '96.b1', 'kernel_order': 10, 'label': '960.11067.6a', 'nt': [24, 87], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852975
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 132, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '96.185', 'image_order': 96, 'indicator': -1, 'kernel': '96.b1', 'kernel_order': 10, 'label': '960.11067.6b', 'nt': [24, 87], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852976
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 133, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6c1', 'nt': [120, 0], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -2]], [[6, -1]], [[6, 2]], [[6, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 1]], [[-6, -2]], [[-6, -1]], [[-6, -1]], [[-6, -2]], [[-6, 1]], [[-6, 2]], [[6, -2]], [[6, -1]], [[6, 1]], [[6, 2]], [[-6, 2]], [[2, -1]], [[-2, -2]], [[2, 1]], [[2, 2]], [[-2, 1]], [[-2, -2]], [[2, 2]], [[2, -2]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, -2]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852977
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 134, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6c2', 'nt': [120, 4], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 2]], [[6, 1]], [[6, -2]], [[6, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, -1]], [[-6, 2]], [[-6, 1]], [[-6, 1]], [[-6, 2]], [[-6, -1]], [[-6, -2]], [[6, 2]], [[6, 1]], [[6, -1]], [[6, -2]], [[-6, -2]], [[2, 1]], [[-2, 2]], [[2, -1]], [[2, -2]], [[-2, -1]], [[-2, 2]], [[2, -2]], [[2, 2]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, 2]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852978
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 135, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6c3', 'nt': [120, 0], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 2]], [[6, 1]], [[6, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, -2]], [[-6, -1]], [[-6, 2]], [[-6, 2]], [[-6, -1]], [[-6, -2]], [[-6, 1]], [[6, -1]], [[6, 2]], [[6, -2]], [[6, 1]], [[-6, 1]], [[2, 2]], [[-2, -1]], [[2, -2]], [[2, 1]], [[-2, -2]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, 2]], [[-2, -2]], [[2, 2]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852979
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 136, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6c4', 'nt': [120, 4], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, -2]], [[6, -1]], [[6, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 2]], [[-6, 1]], [[-6, -2]], [[-6, -2]], [[-6, 1]], [[-6, 2]], [[-6, -1]], [[6, 1]], [[6, -2]], [[6, 2]], [[6, -1]], [[-6, -1]], [[2, -2]], [[-2, 1]], [[2, 2]], [[2, -1]], [[-2, 2]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, -2]], [[-2, 2]], [[2, -2]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852980
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 137, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6d1', 'nt': [120, 0], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -2]], [[6, -1]], [[6, 2]], [[6, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 1]], [[6, -2]], [[-6, -1]], [[6, -1]], [[-6, -2]], [[6, 1]], [[6, 2]], [[-6, -2]], [[-6, -1]], [[-6, 1]], [[-6, 2]], [[-6, 2]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[-2, 2]], [[2, 1]], [[-2, -2]], [[2, 2]], [[-2, -2]], [[2, -1]], [[-2, 1]], [[2, -1]], [[2, -2]], [[-2, 2]], [[2, 2]], [[-2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852981
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 138, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6d2', 'nt': [120, 4], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 2]], [[6, 1]], [[6, -2]], [[6, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, -1]], [[6, 2]], [[-6, 1]], [[6, 1]], [[-6, 2]], [[6, -1]], [[6, -2]], [[-6, 2]], [[-6, 1]], [[-6, -1]], [[-6, -2]], [[-6, -2]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[-2, -2]], [[2, -1]], [[-2, 2]], [[2, -2]], [[-2, 2]], [[2, 1]], [[-2, -1]], [[2, 1]], [[2, 2]], [[-2, -2]], [[2, -2]], [[-2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852982
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 139, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6d3', 'nt': [120, 0], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 2]], [[6, 1]], [[6, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, -2]], [[6, -1]], [[-6, 2]], [[6, 2]], [[-6, -1]], [[6, -2]], [[6, 1]], [[-6, -1]], [[-6, 2]], [[-6, -2]], [[-6, 1]], [[-6, 1]], [[-2, 2]], [[2, -1]], [[-2, -2]], [[-2, 1]], [[2, -2]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[2, 2]], [[-2, -2]], [[2, 2]], [[2, -1]], [[-2, 1]], [[2, 1]], [[-2, 2]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39852984
    {'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 140, 'cyclotomic_n': 5, 'dim': 6, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.11067', 'group_counter': 11067, 'group_order': 960, 'image': None, 'image_isoclass': '480.1013', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.11067.6d4', 'nt': [120, 4], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, -2]], [[6, -1]], [[6, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 2]], [[6, 1]], [[-6, -2]], [[6, -2]], [[-6, 1]], [[6, 2]], [[6, -1]], [[-6, 1]], [[-6, -2]], [[-6, 2]], [[-6, -1]], [[-6, -1]], [[-2, -2]], [[2, 1]], [[-2, 2]], [[-2, -1]], [[2, 2]], [[-2, 1]], [[2, -1]], [[-2, 1]], [[2, -2]], [[-2, 2]], [[2, -2]], [[2, 1]], [[-2, -1]], [[2, -1]], [[-2, -2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 275254792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.11067.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '960.11067', 'subgroup_hash': 11067, 'subgroup_order': 960, 'subgroup_tex': 'A_4:Q_8\\times C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 275254864
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.1126', 'subgroup_hash': 1126, 'subgroup_order': 480, 'subgroup_tex': 'C_2^3:C_{60}', 'supersolvable': False, 'sylow': 0}
  • id: 275254875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.1022', 'subgroup_hash': 1022, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times A_4:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 275254886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': 20, 'characteristic': False, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '960.11067.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.1013', 'subgroup_hash': 1013, 'subgroup_order': 480, 'subgroup_tex': 'C_{20}.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 160, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '960.11067.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '320.1525', 'subgroup_hash': 1525, 'subgroup_order': 320, 'subgroup_tex': 'C_2^2:Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254908
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 240, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, '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': '240.203', 'subgroup_hash': 203, 'subgroup_order': 240, 'subgroup_tex': 'C_2^3:C_{30}', 'supersolvable': False, 'sylow': 0}
  • id: 275254919
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.152', 'subgroup_hash': 152, 'subgroup_order': 240, 'subgroup_tex': 'A_4\\times C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 275254930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 240, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.104', 'subgroup_hash': 104, 'subgroup_order': 240, 'subgroup_tex': 'A_4:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 275254941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.4.d1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.165', 'subgroup_hash': 165, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': 20, 'characteristic': True, 'core_order': 192, 'counter': 10, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '960.11067.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1468', 'subgroup_hash': 1468, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275254804
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 160, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', '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': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.228', 'subgroup_hash': 228, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.230', 'subgroup_hash': 230, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275254826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.177', 'subgroup_hash': 177, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.177', 'subgroup_hash': 177, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.176', 'subgroup_hash': 176, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.183', 'subgroup_hash': 183, 'subgroup_order': 160, 'subgroup_tex': 'C_{20}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.6.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.183', 'subgroup_hash': 183, 'subgroup_order': 160, 'subgroup_tex': 'C_{20}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254862
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 120, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.43', 'subgroup_hash': 43, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 120, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.43', 'subgroup_hash': 43, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254865
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 40, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 275254866
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.21', 'subgroup_hash': 21, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254868
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.196', 'subgroup_hash': 196, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275254869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.194', 'subgroup_hash': 194, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': 20, 'characteristic': False, 'core_order': 96, 'counter': 25, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '960.11067.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.185', 'subgroup_hash': 185, 'subgroup_order': 96, 'subgroup_tex': 'A_4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 275254871
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 80, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, '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': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.52', 'subgroup_hash': 52, 'subgroup_order': 80, 'subgroup_tex': 'C_2^3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254872
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 80, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, '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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254873
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 40, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254874
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254876
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254877
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254880
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, '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': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 32, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.11067.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.204', 'subgroup_hash': 204, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 2}
  • id: 275254889
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 60, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.9', 'subgroup_hash': 9, 'subgroup_order': 60, 'subgroup_tex': 'C_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254890
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 20, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 275254891
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 20, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 275254892
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254893
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 48, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254894
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 48, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.30', 'subgroup_hash': 30, 'subgroup_order': 48, 'subgroup_tex': 'A_4:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254899
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 40, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254900
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 40, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 20, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254904
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254905
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254906
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254907
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254909
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254910
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254911
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254912
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254915
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254916
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.24.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254917
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 32, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': 47, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.30.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.30.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.30.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.30.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254925
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, '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': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 275254926
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, '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': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 275254927
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 24, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254928
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 24, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254929
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 8, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 275254931
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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: 275254932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, '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': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254933
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 20, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254934
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.11067.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 20, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254936
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 10, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254937
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 10, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254938
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 87, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254939
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 88, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254940
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 10, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254942
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 10, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254943
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 5, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254944
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 5, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 5, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254946
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 5, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.48.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 275254947
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 16, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275254948
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 16, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254949
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 8, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254951
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254794
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254797
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.60.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254805
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 5, 'counter': 110, 'cyclic': True, 'direct': None, 'hall': 15, 'label': '960.11067.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 275254806
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 12, 'counter': 111, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275254807
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 4, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 275254808
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 4, 'counter': 113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 275254809
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, '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: 275254810
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.11067.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254811
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 10, 'counter': 116, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '960.11067.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.185', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 185, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254812
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 5, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254813
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 5, 'counter': 118, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254814
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 5, 'counter': 119, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, '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': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 275254816
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 120, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.120.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254817
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.120.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275254818
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.120.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275254819
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 4, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275254820
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254821
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254822
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275254823
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254824
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254825
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254827
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254828
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254829
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254830
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275254833
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275254834
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.120.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254835
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 138, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 275254836
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 139, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 275254838
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 5, 'counter': 140, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '960.11067.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1468', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1468, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 275254839
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 141, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.240.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 275254840
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 142, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.11067.240.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275254841
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 4, 'counter': 143, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.11067.240.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '240.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:Q_8', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254842
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 2, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.240.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254843
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 2, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.240.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254844
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.240.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, '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: 275254845
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.240.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, '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: 275254846
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 2, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.240.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254847
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 2, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.240.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254849
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.240.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254850
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.240.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254851
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.11067.240.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275254852
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.240.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, '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: 275254853
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '960.11067.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 275254854
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 155, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.11067.480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.1198', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1198, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_{10}\\times S_4', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275254855
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 156, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '960.11067.480.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.1013', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1013, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{20}.S_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: 275254856
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.480.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275254857
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.480.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275254858
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.11067.480.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275254860
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.11067', 'ambient_counter': 11067, 'ambient_order': 960, 'ambient_tex': 'A_4:Q_8\\times C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 160, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.11067.960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '960.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '960.11067', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11067, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4:Q_8\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D3', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 275254851
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '240.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.l1', '120.g1', '120.q1'], 'contains': ['480.d1', '480.e1'], 'core': '960.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7644, -1, 3942, -1], 'generators': [2002815, 3705547], 'label': '960.11067.240.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '240.l1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254852
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '240.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.m1', '120.k1', '120.r1'], 'contains': ['480.e1'], 'core': '960.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6382, -1, 4385, -1], 'generators': [2880537], 'label': '960.11067.240.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '240.m1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254853
    {'ambient': '960.11067', 'aut_centralizer_order': 768, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '80.a1', '160.a1', '160.b1'], 'contains': ['960.a1'], 'core': '960.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8765, -1, 1282, -1], 'generators': [1304672], 'label': '960.11067.320.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '320.a1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254809
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.d1', '20.c1', '40.d1', '40.e1'], 'contains': ['160.a1', '240.g1'], 'core': '480.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2258, -1, 1512, -1], 'generators': [962929, 1788885, 1304672], 'label': '960.11067.80.d1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '80.d1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254829
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '120.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1', '60.d1', '60.i1'], 'contains': ['240.e1', '240.f1'], 'core': '480.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3879, -1, 6443, -1], 'generators': [2002815, 655439], 'label': '960.11067.120.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '120.m1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254830
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '120.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.n1', '60.e1', '60.o1'], 'contains': ['240.e1', '240.g1'], 'core': '480.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2635, -1, 8087, -1], 'generators': [127777, 2477039], 'label': '960.11067.120.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '120.n1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254792
    {'ambient': '960.11067', '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': '48.a1', 'complements': ['960.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '3.a1', '4.d1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3610, 2058, 2208, 5716], 'generators': [1959255, 1788885, 128745, 2486917, 1304672, 2001847, 2879547, 2129625], 'label': '960.11067.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '5.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254793
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408616173', 'aut_weyl_index': 4, 'centralizer': '48.a1', 'complements': ['192.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '15.a1', '20.d1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2129, 823, 1893, 7602], 'generators': [1959255, 128745, 1304672, 2879547, 2001847, 2486917, 1788885], 'label': '960.11067.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.b1', '10.c1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '240.196', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254794
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.f1', '30.c1', '30.d1', '30.e1'], 'contains': ['120.d1', '120.k1', '120.r1'], 'core': '240.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5639, -1, 4284, -1], 'generators': [1959255, 646551, 2001847], 'label': '960.11067.60.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.f1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254795
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.138', 'aut_weyl_index': 96, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1', '20.d1', '30.b1'], 'contains': ['120.a1', '120.f1', '120.o1'], 'core': '120.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [631, -1, 7761, -1], 'generators': [1959255, 2879547, 2486917], 'label': '960.11067.60.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '60.g1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254796
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.138', 'aut_weyl_index': 96, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '30.b1'], 'contains': ['120.e1', '120.f1', '120.p1'], 'core': '240.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [862, -1, 8746, -1], 'generators': [1959255, 2879547, 655439], 'label': '960.11067.60.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '60.h1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254797
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '30.a1', '30.f1'], 'contains': ['120.g1', '120.h1', '120.i1', '120.l1', '120.m1'], 'core': '240.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2368, -1, 5793, -1], 'generators': [2002815, 2486917, 2001847], 'label': '960.11067.60.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.i1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254798
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.j1', '30.e1', '30.f1'], 'contains': ['120.g1', '120.j1', '120.k1'], 'core': '480.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5340, -1, 4496, -1], 'generators': [2002815, 2477039], 'label': '960.11067.60.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.j1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.j1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254799
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '60.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.k1', '30.b1', '30.f1', '30.g1'], 'contains': ['120.h1', '120.j1', '120.o1', '120.p1'], 'core': '240.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [101, -1, 7545, -1], 'generators': [962929, 2486917, 2001847], 'label': '960.11067.60.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.k1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.k1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254800
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '60.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.l1', '30.c1', '30.f1', '30.g1'], 'contains': ['120.h1', '120.k1'], 'core': '240.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [2580, -1, 5060, -1], 'generators': [2880537, 2486917], 'label': '960.11067.60.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.l1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.l1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254801
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '60.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.m1', '30.d1', '30.f1', '30.g1'], 'contains': ['120.i1', '120.j1', '120.k1'], 'core': '480.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1314, -1, 4915, -1], 'generators': [2880537, 2528541], 'label': '960.11067.60.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.m1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254802
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '60.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.n1', '20.c1', '30.e1', '30.g1'], 'contains': ['120.b1', '120.j1', '120.k1'], 'core': '120.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4802, -1, 3276, -1], 'generators': [962929, 128745], 'label': '960.11067.60.n1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.n1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.n1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254803
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '60.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.49', 'aut_weyl_index': 192, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.o1', '30.b1'], 'contains': ['120.l1', '120.n1', '120.o1', '120.p1'], 'core': '240.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [398, -1, 9691, -1], 'generators': [127777, 2879547, 2486917], 'label': '960.11067.60.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '60.o1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254804
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1103', 'aut_weyl_index': 32, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '12.d1', '12.i1', '30.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4389, 6346, 4542, 1086], 'generators': [1959255, 1788885, 128745, 2001847, 2486917, 2129625], 'label': '960.11067.6.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '12.b1', '24.a1', '30.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '48.48', 'quotient_action_image': '6.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254805
    {'ambient': '960.11067', 'aut_centralizer_order': 192, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '32.a1', '32.b1'], 'contains': ['192.a1', '320.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9754, -1, 1282, -1], 'generators': [1304672, 2129625], 'label': '960.11067.64.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '64.a1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254806
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '80.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 256, 'centralizer': '24.a1', 'complements': ['12.g1', '12.o1', '12.h1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.a1', '40.b1'], 'contains': ['240.c1', '320.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9339, 2733, 578, 5381], 'generators': [1304672, 1960223, 2001847], 'label': '960.11067.80.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1'], 'normal_contains': ['240.c1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '960.11067', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254807
    {'ambient': '960.11067', 'aut_centralizer_order': 384, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '20.a1', '40.c1', '40.d1'], 'contains': ['160.a1', '160.b1', '240.a1'], 'core': '240.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6364, -1, 1194, -1], 'generators': [1959255, 1788885, 1304672], 'label': '960.11067.80.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '80.b1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254808
    {'ambient': '960.11067', 'aut_centralizer_order': 192, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '20.b1', '40.c1', '40.e1'], 'contains': ['160.a1', '240.b1'], 'core': '240.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [5054, -1, 1877, -1], 'generators': [612847, 1304672, 1788885], 'label': '960.11067.80.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '80.c1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254810
    {'ambient': '960.11067', 'aut_centralizer_order': 1536, 'aut_label': '96.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.d1', '48.e1', '48.f1', '48.g1'], 'contains': ['192.a1', '480.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6534, 8829, 6218, 8312], 'generators': [1788885, 2129625], 'label': '960.11067.96.a1', 'mobius_quo': 1, 'mobius_sub': -96, 'normal_closure': '96.a1', 'normal_contained_in': ['24.b1', '48.a1', '48.b1'], 'normal_contains': ['192.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '96.226', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.226', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254811
    {'ambient': '960.11067', 'aut_centralizer_order': 768, 'aut_label': '96.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': ['10.c1'], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.a1', '48.h1', '48.i1'], 'contains': ['192.a1', '480.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8312, 9703, 3541, 9495], 'generators': [1959255, 2129625], 'label': '960.11067.96.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['24.c1', '48.a1'], 'normal_contains': ['192.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '96.185', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.185', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254812
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '48.d1', '48.h1', '48.j1', '48.k1'], 'contains': ['192.a1', '480.c1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9527, -1, 3144, -1], 'generators': [2001847, 2129625], 'label': '960.11067.96.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.c1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254813
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.e1', '48.h1', '48.i1', '48.j1', '48.l1'], 'contains': ['192.a1', '480.d1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9004, -1, 3679, -1], 'generators': [127777, 2129625], 'label': '960.11067.96.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.d1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254814
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1', '48.i1', '48.k1', '48.l1', '48.m1'], 'contains': ['192.a1', '480.e1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8018, -1, 4076, -1], 'generators': [3705547, 2129625], 'label': '960.11067.96.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.e1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254815
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.6279920', 'aut_weyl_index': 12, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.c1', '12.e1', '12.g1', '12.h1', '12.k1', '12.o1', '30.b1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2549, -1, 7470, -1], 'generators': [1959255, 1788885, 2486917, 2001847, 2879547, 2129625], 'label': '960.11067.6.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254816
    {'ambient': '960.11067', 'aut_centralizer_order': 768, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '40.c1', '60.c1', '60.g1'], 'contains': ['240.a1', '240.b1'], 'core': '120.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4615, 7865, 5971, 8451], 'generators': [1959255, 2486917], 'label': '960.11067.120.a1', 'mobius_quo': 0, 'mobius_sub': 12, 'normal_closure': '120.a1', 'normal_contained_in': ['24.a1', '30.a1'], 'normal_contains': ['240.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '120.a1', 'projective_image': '240.196', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.9', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254817
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '120.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '40.a1', '60.a1', '60.b1', '60.n1'], 'contains': ['240.c1', '240.d1', '240.k1'], 'core': '120.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7349, 5119, 3546, 4845], 'generators': [1788885, 128745, 2001847], 'label': '960.11067.120.b1', 'mobius_quo': 1, 'mobius_sub': -24, 'normal_closure': '120.b1', 'normal_contained_in': ['24.b1', '40.a1', '60.a1', '60.b1'], 'normal_contains': ['240.c1', '480.a1'], 'normalizer': '1.a1', 'old_label': '120.b1', 'projective_image': '480.1198', 'quotient_action_image': '6.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '120.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254818
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '120.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '6.a1', 'complements': ['8.e1'], 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '40.b1', '60.a1'], 'contains': ['240.c1', '240.h1', '240.j1'], 'core': '120.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8681, 5703, 2258, 4274], 'generators': [1959255, 128745, 2001847], 'label': '960.11067.120.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '120.c1', 'normal_contained_in': ['24.c1', '40.b1', '60.a1'], 'normal_contains': ['240.c1', '480.b1'], 'normalizer': '1.a1', 'old_label': '120.c1', 'projective_image': '480.1013', 'quotient_action_image': '6.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '120.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254819
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '60.a1', '60.c1', '60.d1', '60.e1', '60.f1'], 'contains': ['240.a1', '240.d1', '240.e1', '240.h1', '240.i1'], 'core': '240.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5639, -1, 5157, -1], 'generators': [1959255, 1788885, 2001847], 'label': '960.11067.120.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.d1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254820
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1', '60.c1', '60.d1', '60.h1'], 'contains': ['240.a1', '240.f1'], 'core': '240.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3378, -1, 6872, -1], 'generators': [1959255, 655439], 'label': '960.11067.120.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.e1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254821
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '40.d1', '60.e1', '60.g1', '60.h1'], 'contains': ['240.a1', '240.g1'], 'core': '240.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1304, -1, 6657, -1], 'generators': [1959255, 2477039], 'label': '960.11067.120.f1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '120.f1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254822
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1', '60.a1', '60.i1', '60.j1'], 'contains': ['240.d1', '240.e1', '240.j1', '240.l1'], 'core': '480.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7184, -1, 4403, -1], 'generators': [2002815, 1788885, 2001847], 'label': '960.11067.120.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.g1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254823
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '60.b1', '60.c1', '60.i1', '60.k1', '60.l1'], 'contains': ['240.b1', '240.d1', '240.f1'], 'core': '240.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2175, -1, 5757, -1], 'generators': [612847, 2001847], 'label': '960.11067.120.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.h1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254824
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.i1', '60.b1', '60.d1', '60.i1', '60.m1'], 'contains': ['240.d1', '240.f1'], 'core': '480.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3148, -1, 5329, -1], 'generators': [654471, 2001847], 'label': '960.11067.120.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.i1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254825
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j1', '60.e1', '60.j1', '60.k1', '60.m1', '60.n1'], 'contains': ['240.d1', '240.g1'], 'core': '480.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1743, -1, 5543, -1], 'generators': [962929, 2001847], 'label': '960.11067.120.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.j1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254826
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.6279920', 'aut_weyl_index': 12, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.c1', '12.f1', '12.l1', '30.c1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4975, -1, 5268, -1], 'generators': [1959255, 2001847, 2486917, 2129625, 963875, 3705547], 'label': '960.11067.6.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254827
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '60.f1', '60.j1', '60.l1', '60.m1', '60.n1'], 'contains': ['240.d1', '240.m1'], 'core': '480.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5253, -1, 4713, -1], 'generators': [2880537, 2001847], 'label': '960.11067.120.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.k1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254828
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '120.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.l1', '60.c1', '60.i1', '60.o1'], 'contains': ['240.b1', '240.e1', '240.f1'], 'core': '240.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2405, -1, 7482, -1], 'generators': [127777, 2486917], 'label': '960.11067.120.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.l1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254831
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '120.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.o1', '40.e1', '60.g1', '60.k1', '60.o1'], 'contains': ['240.b1', '240.g1'], 'core': '240.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [597, -1, 7646, -1], 'generators': [962929, 2486917], 'label': '960.11067.120.o1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '120.o1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254832
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '120.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.p1', '60.h1', '60.k1', '60.o1'], 'contains': ['240.f1', '240.g1'], 'core': '480.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [297, -1, 8498, -1], 'generators': [962929, 655439], 'label': '960.11067.120.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '120.p1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254833
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '120.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.q1', '60.a1'], 'contains': ['240.h1', '240.i1', '240.j1', '240.k1', '240.l1'], 'core': '480.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7747, -1, 3158, -1], 'generators': [1959255, 1832445, 2001847], 'label': '960.11067.120.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.q1', 'projective_image': '480.1013', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254834
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '120.r1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.r1', '60.f1'], 'contains': ['240.i1', '240.m1'], 'core': '480.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6135, -1, 4232, -1], 'generators': [127777, 646551], 'label': '960.11067.120.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '120.r1', 'projective_image': '480.1013', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.r1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254835
    {'ambient': '960.11067', 'aut_centralizer_order': 768, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '40.a1', '80.b1', '80.c1', '80.d1'], 'contains': ['320.a1', '480.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6758, -1, 1408, -1], 'generators': [1788885, 1304672], 'label': '960.11067.160.a1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '160.a1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254836
    {'ambient': '960.11067', 'aut_centralizer_order': 384, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '40.b1', '80.b1'], 'contains': ['320.a1', '480.b1'], 'core': '480.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [8397, -1, 1156, -1], 'generators': [1959255, 1304672], 'label': '960.11067.160.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '160.b1', 'projective_image': '480.1013', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254837
    {'ambient': '960.11067', 'aut_centralizer_order': 2, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.7532443', 'aut_weyl_index': 12, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['3.a1'], 'contains': ['12.d1', '12.e1', '12.f1', '12.m1', '30.d1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3385, -1, 4962, -1], 'generators': [1959255, 2001847, 2528541, 2129625, 2879547, 1788885], 'label': '960.11067.6.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254838
    {'ambient': '960.11067', 'aut_centralizer_order': 1536, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1', '96.e1'], 'contains': ['960.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9069, 9595, 3654, 8813], 'generators': [2129625], 'label': '960.11067.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['48.c1', '96.a1', '96.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '192.1468', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.1468', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254839
    {'ambient': '960.11067', 'aut_centralizer_order': 3072, 'aut_label': '240.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '80.b1', '120.a1', '120.d1', '120.e1', '120.f1'], 'contains': ['480.a1', '480.b1'], 'core': '240.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5640, 9215, 5971, 8904], 'generators': [1959255, 1788885], 'label': '960.11067.240.a1', 'mobius_quo': 2, 'mobius_sub': -24, 'normal_closure': '240.a1', 'normal_contained_in': ['48.a1', '60.a1', '120.a1'], 'normal_contains': ['480.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '240.a1', 'projective_image': '240.196', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.196', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254840
    {'ambient': '960.11067', 'aut_centralizer_order': 1536, 'aut_label': '240.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '80.c1', '120.a1', '120.h1', '120.l1', '120.o1'], 'contains': ['480.a1'], 'core': '240.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4764, 8423, 6092, 7755], 'generators': [612847], 'label': '960.11067.240.b1', 'mobius_quo': 0, 'mobius_sub': -24, 'normal_closure': '240.b1', 'normal_contained_in': ['48.b1', '60.b1', '120.a1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.b1', 'projective_image': '480.1198', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.43', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254841
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '240.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '6.a1', 'complements': ['4.d1'], 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '80.a1', '120.b1', '120.c1'], 'contains': ['480.c1'], 'core': '240.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8747, 5331, 2452, 4560], 'generators': [128745, 2001847], 'label': '960.11067.240.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '240.c1', 'normal_contained_in': ['48.c1', '80.a1', '120.b1', '120.c1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '240.c1', 'projective_image': '960.11067', 'quotient_action_image': '6.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '240.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254842
    {'ambient': '960.11067', 'aut_centralizer_order': 2048, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1', '120.b1', '120.d1', '120.g1', '120.h1', '120.i1', '120.j1', '120.k1'], 'contains': ['480.a1', '480.c1', '480.e1'], 'core': '480.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5502, -1, 4959, -1], 'generators': [1788885, 2001847], 'label': '960.11067.240.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.d1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254843
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1', '120.d1', '120.g1', '120.l1', '120.m1', '120.n1'], 'contains': ['480.a1', '480.d1'], 'core': '480.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5957, -1, 6407, -1], 'generators': [127777, 1788885], 'label': '960.11067.240.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.e1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254844
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '120.e1', '120.h1', '120.i1', '120.l1', '120.m1', '120.p1'], 'contains': ['480.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2373, -1, 6563, -1], 'generators': [2529509], 'label': '960.11067.240.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.f1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254845
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g1', '80.d1', '120.f1', '120.j1', '120.n1', '120.o1', '120.p1'], 'contains': ['480.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1795, -1, 6694, -1], 'generators': [962929], 'label': '960.11067.240.g1', 'mobius_quo': None, 'mobius_sub': -4, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '240.g1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254846
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '240.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '120.c1', '120.d1', '120.q1'], 'contains': ['480.b1', '480.c1', '480.d1'], 'core': '480.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8195, -1, 3278, -1], 'generators': [1959255, 2001847], 'label': '960.11067.240.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.h1', 'projective_image': '480.1013', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254847
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '240.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.i1', '120.d1', '120.q1', '120.r1'], 'contains': ['480.b1', '480.d1', '480.e1'], 'core': '480.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7356, -1, 3813, -1], 'generators': [1959255, 3705547], 'label': '960.11067.240.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.i1', 'projective_image': '480.1013', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254848
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 48, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.e1', '12.f1', '12.j1', '12.n1', '30.e1'], 'core': '12.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6459, -1, 3446, -1], 'generators': [1959255, 2001847, 128745, 2129625, 2477039, 1788885], 'label': '960.11067.6.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254849
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.j1', '120.c1', '120.g1', '120.q1'], 'contains': ['480.c1', '480.d1'], 'core': '960.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8399, -1, 3010, -1], 'generators': [2002815, 2001847], 'label': '960.11067.240.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.j1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254850
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '240.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1', '120.b1', '120.q1'], 'contains': ['480.c1', '480.e1'], 'core': '960.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7782, -1, 3407, -1], 'generators': [1832445, 2001847], 'label': '960.11067.240.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.k1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254854
    {'ambient': '960.11067', 'aut_centralizer_order': 6144, 'aut_label': '480.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.d1', '240.e1', '240.f1', '240.g1'], 'contains': ['960.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5640, 9022, 6092, 8312], 'generators': [1788885], 'label': '960.11067.480.a1', 'mobius_quo': -1, 'mobius_sub': 96, 'normal_closure': '480.a1', 'normal_contained_in': ['96.a1', '120.b1', '240.a1', '240.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.a1', 'projective_image': '480.1198', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.1198', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254855
    {'ambient': '960.11067', 'aut_centralizer_order': 3072, 'aut_label': '480.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': ['2.c1'], 'conjugacy_class_count': 2, 'contained_in': ['96.b1', '160.b1', '240.a1', '240.h1', '240.i1'], 'contains': ['960.a1'], 'core': '480.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8048, 9762, 3541, 9314], 'generators': [1959255], 'label': '960.11067.480.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.b1', 'normal_contained_in': ['96.b1', '120.c1', '240.a1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.b1', 'projective_image': '480.1013', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.1013', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254856
    {'ambient': '960.11067', 'aut_centralizer_order': 2048, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '240.c1', '240.d1', '240.h1', '240.j1', '240.k1'], 'contains': ['960.a1'], 'core': '960.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8544, -1, 3278, -1], 'generators': [2001847], 'label': '960.11067.480.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '240.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '480.c1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254857
    {'ambient': '960.11067', 'aut_centralizer_order': 1024, 'aut_label': '480.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.d1', '240.e1', '240.h1', '240.i1', '240.j1', '240.l1'], 'contains': ['960.a1'], 'core': '960.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8187, -1, 3768, -1], 'generators': [127777], 'label': '960.11067.480.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '480.d1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254858
    {'ambient': '960.11067', 'aut_centralizer_order': 2048, 'aut_label': '480.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.e1', '240.d1', '240.i1', '240.k1', '240.l1', '240.m1'], 'contains': ['960.a1'], 'core': '960.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7356, -1, 3942, -1], 'generators': [3705547], 'label': '960.11067.480.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '480.e1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254859
    {'ambient': '960.11067', 'aut_centralizer_order': 2, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.55630', 'aut_weyl_index': 24, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1'], 'contains': ['12.i1', '12.j1', '12.k1', '12.l1', '12.m1', '30.f1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4027, -1, 5666, -1], 'generators': [2002815, 2001847, 2486917, 2129625, 2879547, 1788885], 'label': '960.11067.6.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254860
    {'ambient': '960.11067', 'aut_centralizer_order': None, 'aut_label': '960.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1', '480.d1', '480.e1'], 'contains': [], 'core': '960.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8187, 9762, 3654, 8813], 'generators': [], 'label': '960.11067.960.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '960.a1', 'normal_contained_in': ['192.a1', '240.c1', '480.a1', '480.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '960.a1', 'projective_image': '960.11067', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254861
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 48, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.b1', '12.k1', '12.l1', '12.m1', '12.n1', '30.g1'], 'core': '12.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [3709, -1, 4249, -1], 'generators': [962929, 2001847, 128745, 2129625, 2486917, 1788885], 'label': '960.11067.6.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.g1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254862
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '8.a1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 64, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.a1', '24.b1', '32.a1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7913, 3196, 715, 4191], 'generators': [1788885, 2129625, 1960223, 1304672, 2001847], 'label': '960.11067.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.a1', '24.b1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254863
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '8.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '96.186', 'aut_weyl_index': 64, 'centralizer': '24.a1', 'complements': ['120.o1', '120.p1'], 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.a1', '24.c1', '32.b1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9274, 4527, 215, 1782], 'generators': [1959255, 2129625, 1960223, 1304672, 2001847], 'label': '960.11067.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '24.c1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '96.185', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254864
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1088688', 'aut_weyl_index': 8, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '6.a1', '8.c1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5371, 4019, 2606, 3592], 'generators': [1959255, 1960223, 1304672, 2129625, 2486917, 2001847, 1788885], 'label': '960.11067.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254865
    {'ambient': '960.11067', 'aut_centralizer_order': 24, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '64.196', 'aut_weyl_index': 96, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.d1'], 'contains': ['16.b1', '16.c1', '24.a1', '40.c1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5989, -1, 2197, -1], 'generators': [1959255, 1304672, 2129625, 2486917, 1788885], 'label': '960.11067.8.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.c1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254866
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1103', 'aut_weyl_index': 32, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '4.d1'], 'contains': ['16.b1', '16.d1', '24.f1', '40.d1'], 'core': '48.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2992, -1, 1260, -1], 'generators': [1959255, 2129625, 1788885, 2477039, 1304672], 'label': '960.11067.8.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.d1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254867
    {'ambient': '960.11067', 'aut_centralizer_order': 2, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '192.1103', 'aut_weyl_index': 32, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '4.d1'], 'contains': ['16.c1', '16.d1', '24.o1', '40.e1'], 'core': '48.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [1800, -1, 2456, -1], 'generators': [962929, 2129625, 1788885, 2486917, 1304672], 'label': '960.11067.8.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.e1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254868
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 32, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '30.a1', '40.c1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5224, 3010, 1819, 6398], 'generators': [1959255, 2001847, 1960223, 2486917, 1304672, 1788885], 'label': '960.11067.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.a1', '20.b1', '30.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254869
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 32, 'centralizer': '48.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.c1', '30.e1', '40.d1'], 'core': '10.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5607, 1067, 1057, 7706], 'generators': [1959255, 2001847, 128745, 2477039, 1788885, 1304672], 'label': '960.11067.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.a1', '20.c1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254870
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 32, 'centralizer': '48.a1', 'complements': ['96.b1', '96.d1'], 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.b1', '20.c1', '30.g1', '40.e1'], 'core': '10.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [2175, 238, 1581, 8605], 'generators': [962929, 2001847, 128745, 2486917, 1788885, 1304672], 'label': '960.11067.10.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.b1', '20.c1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': '480.1198', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254871
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.35', 'aut_weyl_index': 128, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.e1'], 'contains': ['24.b1', '24.c1', '24.d1', '24.g1', '24.q1', '60.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7835, 7170, 2792, 578], 'generators': [1959255, 128745, 2001847, 1788885, 2129625], 'label': '960.11067.12.a1', 'mobius_quo': 2, 'mobius_sub': -6, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.b1', '24.c1', '48.a1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '48.48', 'quotient_action_image': '6.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254872
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.35', 'aut_weyl_index': 128, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.a1', '6.g1'], 'contains': ['24.b1', '24.h1', '24.i1', '60.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4500, 5743, 4100, 2986], 'generators': [612847, 2001847, 2129625, 128745, 1788885], 'label': '960.11067.12.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.b1', '48.b1', '60.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '96.226', 'quotient_action_image': '6.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254873
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.b1', '6.c1'], 'contains': ['24.a1', '24.d1', '24.e1', '24.h1', '24.l1', '60.c1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4812, -1, 7075, -1], 'generators': [1959255, 2001847, 2129625, 2486917, 1788885], 'label': '960.11067.12.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.c1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254874
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 96, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.d1'], 'contains': ['24.d1', '24.e1', '24.i1', '24.m1', '60.d1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3814, -1, 6206, -1], 'generators': [1959255, 2001847, 2129625, 2528541, 1788885], 'label': '960.11067.12.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.d1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254875
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1088688', 'aut_weyl_index': 8, 'centralizer': '48.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '6.e1', '8.d1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5928, 2636, 1298, 5089], 'generators': [1959255, 128745, 2129625, 1788885, 2477039, 2001847, 1304672], 'label': '960.11067.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254876
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 96, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.d1', '6.e1'], 'contains': ['24.d1', '24.f1', '24.j1', '24.n1', '60.e1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3218, -1, 6785, -1], 'generators': [1959255, 2001847, 2129625, 2477039, 1788885], 'label': '960.11067.12.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.e1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254877
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 96, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '6.d1', '6.e1'], 'contains': ['24.d1', '24.k1', '24.r1', '60.f1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6924, -1, 4389, -1], 'generators': [1959255, 2001847, 2129625, 646551, 3705547], 'label': '960.11067.12.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.f1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254878
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.14467', 'aut_weyl_index': 24, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '6.b1'], 'contains': ['24.a1', '24.f1', '24.o1', '60.g1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1576, -1, 7855, -1], 'generators': [1959255, 2486917, 2129625, 2879547, 1788885], 'label': '960.11067.12.g1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.g1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254879
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.14467', 'aut_weyl_index': 24, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1'], 'contains': ['24.e1', '24.f1', '24.p1', '60.h1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2388, -1, 8510, -1], 'generators': [1959255, 655439, 2129625, 2879547, 1788885], 'label': '960.11067.12.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.h1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254880
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.45', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '6.f1'], 'contains': ['24.g1', '24.h1', '24.i1', '24.l1', '24.m1', '60.i1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4124, -1, 6495, -1], 'generators': [2002815, 2001847, 2129625, 2486917, 1788885], 'label': '960.11067.12.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.i1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254881
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.260', 'aut_weyl_index': 96, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '6.f1'], 'contains': ['24.g1', '24.j1', '24.k1', '60.j1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6610, -1, 4682, -1], 'generators': [2002815, 2129625, 1788885, 2477039, 2001847], 'label': '960.11067.12.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.j1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254882
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.196', 'aut_weyl_index': 96, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.b1', '6.f1', '6.g1'], 'contains': ['24.h1', '24.j1', '24.o1', '24.p1', '60.k1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [2795, -1, 7597, -1], 'generators': [962929, 2001847, 2129625, 2486917, 1788885], 'label': '960.11067.12.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.k1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254883
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.196', 'aut_weyl_index': 96, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '6.f1', '6.g1'], 'contains': ['24.h1', '24.k1', '60.l1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5172, -1, 5929, -1], 'generators': [2880537, 2129625, 3705547, 2486917, 2001847], 'label': '960.11067.12.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.l1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254884
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.260', 'aut_weyl_index': 96, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.d1', '6.f1', '6.g1'], 'contains': ['24.i1', '24.j1', '24.k1', '60.m1'], 'core': '96.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3515, -1, 5666, -1], 'generators': [2880537, 2129625, 3705547, 2528541, 2001847], 'label': '960.11067.12.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.m1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254885
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.45', 'aut_weyl_index': 192, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '6.e1', '6.g1'], 'contains': ['24.b1', '24.j1', '24.k1', '60.n1'], 'core': '24.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6228, -1, 3380, -1], 'generators': [962929, 2129625, 1788885, 128745, 2001847], 'label': '960.11067.12.n1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.n1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254886
    {'ambient': '960.11067', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1088688', 'aut_weyl_index': 8, 'centralizer': '48.a1', 'complements': ['480.b1', '480.d1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '6.g1', '8.e1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3688, 1479, 2288, 6342], 'generators': [962929, 128745, 2129625, 1788885, 2486917, 2001847, 1304672], 'label': '960.11067.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '10.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '96.226', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254887
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2161', 'aut_weyl_index': 48, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1'], 'contains': ['24.l1', '24.n1', '24.o1', '24.p1', '60.o1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [2111, -1, 9337, -1], 'generators': [127777, 2486917, 2129625, 2879547, 1788885], 'label': '960.11067.12.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.o1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254888
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 24, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.b1', '30.c1', '30.d1', '30.e1', '30.f1', '30.g1'], 'core': '30.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [825, -1, 3953, -1], 'generators': [1959255, 2879547, 2486917, 128745], 'label': '960.11067.15.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '15.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254889
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '16.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 64, 'centralizer': '24.a1', 'complements': ['60.g1', '60.o1', '60.h1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1'], 'contains': ['48.c1', '64.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9665, 3993, 305, 3864], 'generators': [1304672, 1960223, 2001847, 2129625], 'label': '960.11067.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['48.c1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '192.1468', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254890
    {'ambient': '960.11067', 'aut_centralizer_order': 96, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.c1', '8.d1'], 'contains': ['32.a1', '32.b1', '48.a1', '80.b1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7347, -1, 874, -1], 'generators': [1959255, 1304672, 2129625, 1788885], 'label': '960.11067.16.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.b1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254891
    {'ambient': '960.11067', 'aut_centralizer_order': 48, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '8.c1', '8.e1'], 'contains': ['32.a1', '48.b1', '80.c1'], 'core': '48.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [6155, -1, 2119, -1], 'generators': [612847, 2129625, 1788885, 1304672], 'label': '960.11067.16.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.c1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254892
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.35', 'aut_weyl_index': 128, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '8.d1', '8.e1'], 'contains': ['32.a1', '48.g1', '80.d1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2948, -1, 1457, -1], 'generators': [962929, 1788885, 1304672, 2129625], 'label': '960.11067.16.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.d1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254893
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '20.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 128, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '10.a1', '10.b1'], 'contains': ['40.a1', '40.b1', '60.a1', '80.b1'], 'core': '20.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7908, 2868, 465, 6398], 'generators': [1959255, 2001847, 1788885, 1304672, 1960223], 'label': '960.11067.20.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1', '10.b1'], 'normal_contains': ['40.a1', '40.b1', '60.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254894
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '20.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '48.48', 'aut_weyl_index': 128, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '10.a1', '10.c1'], 'contains': ['40.a1', '60.b1', '80.c1'], 'core': '20.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5455, 1685, 1639, 7414], 'generators': [612847, 2001847, 1304672, 1788885, 1960223], 'label': '960.11067.20.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1', '10.c1'], 'normal_contains': ['40.a1', '60.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254895
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '20.c1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '48.48', 'aut_weyl_index': 128, 'centralizer': '48.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '10.b1', '10.c1'], 'contains': ['40.a1', '60.n1', '80.d1'], 'core': '20.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5263, 958, 1035, 8201], 'generators': [962929, 2001847, 1788885, 1304672, 128745], 'label': '960.11067.20.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.b1', '10.c1'], 'normal_contains': ['40.a1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254896
    {'ambient': '960.11067', 'aut_centralizer_order': 4, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.12882', 'aut_weyl_index': 16, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '5.a1'], 'contains': ['40.c1', '40.d1', '40.e1', '60.g1'], 'core': '120.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1060, -1, 1937, -1], 'generators': [1959255, 1304672, 2879547, 2486917, 1788885], 'label': '960.11067.20.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '20.d1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254897
    {'ambient': '960.11067', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '6.f1', '6.g1', '15.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3494, -1, 4542, -1], 'generators': [1959255, 1788885, 2486917, 128745, 2879547, 2001847, 2129625], 'label': '960.11067.3.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254898
    {'ambient': '960.11067', 'aut_centralizer_order': 192, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.c1', '12.g1'], 'contains': ['48.a1', '48.b1', '120.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5432, 8423, 7309, 8451], 'generators': [1959255, 2129625, 1788885, 2486917], 'label': '960.11067.24.a1', 'mobius_quo': 0, 'mobius_sub': -12, 'normal_closure': '24.a1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['48.a1', '48.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '48.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.3', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254899
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '24.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '24.5', 'aut_weyl_index': 256, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.b1', '12.n1'], 'contains': ['48.c1', '48.d1', '48.k1', '120.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8324, 5755, 3042, 2750], 'generators': [1788885, 2001847, 2129625, 128745], 'label': '960.11067.24.b1', 'mobius_quo': -1, 'mobius_sub': 24, 'normal_closure': '24.b1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['48.c1', '96.a1', '120.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '96.226', 'quotient_action_image': '6.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254900
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.5', 'aut_weyl_index': 256, 'centralizer': '6.a1', 'complements': ['40.e1'], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '12.a1'], 'contains': ['48.c1', '48.h1', '48.j1', '120.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [9465, 6938, 2334, 1469], 'generators': [1959255, 2001847, 2129625, 128745], 'label': '960.11067.24.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.b1', '12.a1'], 'normal_contains': ['48.c1', '96.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '96.185', 'quotient_action_image': '6.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254901
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.c1', '12.d1', '12.e1', '12.f1'], 'contains': ['48.a1', '48.d1', '48.e1', '48.h1', '48.i1', '120.d1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7182, -1, 5277, -1], 'generators': [1959255, 2001847, 2129625, 1788885], 'label': '960.11067.24.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.d1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254902
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.d1', '12.h1'], 'contains': ['48.a1', '48.f1', '120.e1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3791, -1, 8510, -1], 'generators': [1959255, 2129625, 1788885, 655439], 'label': '960.11067.24.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.e1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254903
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.e1', '12.g1', '12.h1'], 'contains': ['48.a1', '48.g1', '120.f1'], 'core': '48.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2446, -1, 8254, -1], 'generators': [1959255, 2129625, 1788885, 2477039], 'label': '960.11067.24.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.f1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254904
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.i1', '12.j1'], 'contains': ['48.d1', '48.e1', '48.j1', '48.l1', '120.g1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7751, -1, 4015, -1], 'generators': [2002815, 2001847, 2129625, 1788885], 'label': '960.11067.24.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.g1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254905
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.c1', '12.i1', '12.k1', '12.l1'], 'contains': ['48.b1', '48.d1', '48.f1', '120.h1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5091, -1, 7053, -1], 'generators': [612847, 2129625, 1788885, 2001847], 'label': '960.11067.24.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.h1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254906
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.d1', '12.i1', '12.m1'], 'contains': ['48.d1', '48.f1', '120.i1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4067, -1, 6045, -1], 'generators': [654471, 2129625, 1788885, 2001847], 'label': '960.11067.24.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.i1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254907
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '12.j1', '12.k1', '12.m1', '12.n1'], 'contains': ['48.d1', '48.g1', '120.j1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3321, -1, 6302, -1], 'generators': [962929, 2129625, 1788885, 2001847], 'label': '960.11067.24.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.j1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254908
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 32, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '12.a1', '16.b1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7680, 4746, 739, 2555], 'generators': [1959255, 2001847, 1304672, 2129625, 1788885, 1960223], 'label': '960.11067.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '12.a1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254909
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1', '12.j1', '12.l1', '12.m1', '12.n1'], 'contains': ['48.d1', '48.m1', '120.k1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6482, -1, 4713, -1], 'generators': [2880537, 2129625, 3705547, 2001847], 'label': '960.11067.24.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.k1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254910
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.i1', '12.o1'], 'contains': ['48.b1', '48.e1', '48.f1', '120.l1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4342, -1, 8982, -1], 'generators': [127777, 2129625, 1788885, 2486917], 'label': '960.11067.24.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.l1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254911
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.i1'], 'contains': ['48.e1', '48.f1', '120.m1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4749, -1, 7997, -1], 'generators': [2002815, 2129625, 1788885, 655439], 'label': '960.11067.24.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.m1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254912
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '12.o1'], 'contains': ['48.e1', '48.g1', '120.n1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3045, -1, 9455, -1], 'generators': [127777, 2129625, 1788885, 2477039], 'label': '960.11067.24.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.n1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254913
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '12.g1', '12.k1', '12.o1'], 'contains': ['48.b1', '48.g1', '120.o1'], 'core': '48.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [1960, -1, 9218, -1], 'generators': [962929, 2129625, 1788885, 2486917], 'label': '960.11067.24.o1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.o1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254914
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.25', 'aut_weyl_index': 192, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.h1', '12.k1', '12.o1'], 'contains': ['48.f1', '48.g1', '120.p1'], 'core': '96.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2192, -1, 9906, -1], 'generators': [962929, 2129625, 1788885, 655439], 'label': '960.11067.24.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.p1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 275254915
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.a1'], 'contains': ['48.h1', '48.i1', '48.j1', '48.k1', '48.l1', '120.q1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8699, -1, 2623, -1], 'generators': [2002815, 2001847, 2129625, 1832445], 'label': '960.11067.24.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.q1', 'projective_image': '96.185', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254916
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1'], 'contains': ['48.i1', '48.m1', '120.r1'], 'core': '96.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6887, -1, 3741, -1], 'generators': [127777, 2129625, 3705547, 646551], 'label': '960.11067.24.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.r1', 'projective_image': '96.185', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254917
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '10.a1', '15.a1'], 'contains': ['60.a1', '60.b1', '60.c1', '60.d1', '60.i1'], 'core': '30.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2743, 4411, 3831, 5304], 'generators': [1959255, 2486917, 128745, 2001847], 'label': '960.11067.30.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '30.a1', 'normal_contained_in': ['6.a1', '10.a1'], 'normal_contains': ['60.a1', '60.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': '240.196', 'quotient_action_image': '6.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254918
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 48, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '15.a1'], 'contains': ['60.c1', '60.e1', '60.g1', '60.h1', '60.k1', '60.o1'], 'core': '120.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [311, -1, 7344, -1], 'generators': [1959255, 2879547, 2486917, 2001847], 'label': '960.11067.30.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.b1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254919
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 32, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.a1', '12.b1', '16.c1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5818, 3189, 2537, 3947], 'generators': [612847, 2001847, 2129625, 1788885, 1304672, 1960223], 'label': '960.11067.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.a1', '12.b1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254920
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 48, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '15.a1'], 'contains': ['60.c1', '60.f1', '60.l1'], 'core': '120.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2470, -1, 5225, -1], 'generators': [1959255, 963875, 2486917], 'label': '960.11067.30.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.c1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254921
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 48, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '15.a1'], 'contains': ['60.d1', '60.e1', '60.f1', '60.m1'], 'core': '240.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1516, -1, 4962, -1], 'generators': [1959255, 2879547, 2528541], 'label': '960.11067.30.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.d1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254922
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 192, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1', '10.b1', '15.a1'], 'contains': ['60.a1', '60.e1', '60.f1', '60.j1', '60.n1'], 'core': '60.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5566, -1, 3084, -1], 'generators': [1959255, 2477039, 128745], 'label': '960.11067.30.e1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.e1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254923
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 96, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.f1', '15.a1'], 'contains': ['60.i1', '60.j1', '60.k1', '60.l1', '60.m1'], 'core': '240.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [1087, -1, 5446, -1], 'generators': [2002815, 2879547, 2486917], 'label': '960.11067.30.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.f1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254924
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '30.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 192, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.g1', '10.c1', '15.a1'], 'contains': ['60.b1', '60.k1', '60.l1', '60.m1', '60.n1'], 'core': '60.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [1278, -1, 3618, -1], 'generators': [962929, 2486917, 128745], 'label': '960.11067.30.g1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.g1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 275254925
    {'ambient': '960.11067', 'aut_centralizer_order': 192, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '16.b1', '16.c1', '16.d1'], 'contains': ['64.a1', '96.a1', '160.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7407, -1, 1370, -1], 'generators': [1788885, 2129625, 1304672], 'label': '960.11067.32.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '32.a1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254926
    {'ambient': '960.11067', 'aut_centralizer_order': 96, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '16.b1'], 'contains': ['64.a1', '96.b1', '160.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [9209, -1, 898, -1], 'generators': [1959255, 2129625, 1304672], 'label': '960.11067.32.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '32.b1', 'projective_image': '96.185', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254927
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '40.a1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 256, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1'], 'contains': ['80.a1', '120.b1', '160.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7834, 2244, 578, 7414], 'generators': [1788885, 1304672, 1960223, 2001847], 'label': '960.11067.40.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1', '20.c1'], 'normal_contains': ['80.a1', '120.b1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254928
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '40.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '24.12', 'aut_weyl_index': 256, 'centralizer': '24.a1', 'complements': ['24.o1', '24.p1'], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '20.a1'], 'contains': ['80.a1', '120.c1', '160.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8725, 3665, 92, 5381], 'generators': [1959255, 1304672, 1960223, 2001847], 'label': '960.11067.40.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1'], 'normal_contains': ['80.a1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '480.1013', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275254929
    {'ambient': '960.11067', 'aut_centralizer_order': 96, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '8.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '10.a1', '20.d1'], 'contains': ['80.b1', '80.c1', '120.a1'], 'core': '120.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5201, -1, 1776, -1], 'generators': [1959255, 2486917, 1304672, 1788885], 'label': '960.11067.40.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '40.c1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254930
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 32, 'centralizer': '48.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1'], 'contains': ['8.a1', '12.n1', '16.d1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5540, 2135, 1378, 5089], 'generators': [962929, 2001847, 1788885, 1304672, 2129625, 128745], 'label': '960.11067.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.c1'], 'normal_contains': ['8.a1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275254931
    {'ambient': '960.11067', 'aut_centralizer_order': 16, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '10.b1', '20.d1'], 'contains': ['80.b1', '80.d1', '120.f1'], 'core': '240.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1965, -1, 1194, -1], 'generators': [1959255, 2477039, 1788885, 1304672], 'label': '960.11067.40.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '40.d1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254932
    {'ambient': '960.11067', 'aut_centralizer_order': 8, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '10.c1', '20.d1'], 'contains': ['80.c1', '80.d1', '120.o1'], 'core': '240.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [1745, -1, 1978, -1], 'generators': [962929, 2486917, 1788885, 1304672], 'label': '960.11067.40.e1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '40.e1', 'projective_image': '480.1198', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254933
    {'ambient': '960.11067', 'aut_centralizer_order': 768, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.a1', '24.d1', '24.e1', '24.f1'], 'contains': ['96.a1', '96.b1', '240.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6057, 9234, 6207, 9495], 'generators': [1959255, 2129625, 1788885], 'label': '960.11067.48.a1', 'mobius_quo': -2, 'mobius_sub': 24, 'normal_closure': '48.a1', 'normal_contained_in': ['12.a1', '24.a1'], 'normal_contains': ['96.a1', '96.b1', '240.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '48.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.48', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254934
    {'ambient': '960.11067', 'aut_centralizer_order': 384, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '24.a1', '24.h1', '24.l1', '24.o1'], 'contains': ['96.a1', '240.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4686, 8423, 7048, 7672], 'generators': [612847, 1788885, 2129625], 'label': '960.11067.48.b1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '48.b1', 'normal_contained_in': ['12.b1', '24.a1'], 'normal_contains': ['96.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '96.226', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.13', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254935
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '48.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.5', 'aut_weyl_index': 256, 'centralizer': '6.a1', 'complements': ['20.d1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.b1', '24.c1'], 'contains': ['96.c1', '240.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9899, 6167, 2452, 3084], 'generators': [128745, 2129625, 2001847], 'label': '960.11067.48.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.a1', '24.b1', '24.c1'], 'normal_contains': ['192.a1', '240.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '192.1468', 'quotient_action_image': '6.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254936
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.d1', '24.g1', '24.h1', '24.i1', '24.j1', '24.k1'], 'contains': ['96.a1', '96.c1', '96.e1', '240.d1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6887, -1, 4959, -1], 'generators': [1788885, 2129625, 2001847], 'label': '960.11067.48.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.d1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254937
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '24.g1', '24.l1', '24.m1', '24.n1'], 'contains': ['96.a1', '96.d1', '240.e1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6611, -1, 7246, -1], 'generators': [127777, 2129625, 1788885], 'label': '960.11067.48.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.e1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254938
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.h1', '24.i1', '24.l1', '24.m1', '24.p1'], 'contains': ['96.a1', '240.f1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4085, -1, 7772, -1], 'generators': [2529509, 1788885, 2129625], 'label': '960.11067.48.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.f1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254939
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.d1', '24.f1', '24.j1', '24.n1', '24.o1', '24.p1'], 'contains': ['96.a1', '240.g1'], 'core': '96.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3176, -1, 7910, -1], 'generators': [962929, 1788885, 2129625], 'label': '960.11067.48.g1', 'mobius_quo': None, 'mobius_sub': 4, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.g1', 'projective_image': '96.226', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254940
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '24.d1', '24.q1'], 'contains': ['96.b1', '96.c1', '96.d1', '240.h1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9089, -1, 2965, -1], 'generators': [1959255, 2129625, 2001847], 'label': '960.11067.48.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.h1', 'projective_image': '96.185', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254941
    {'ambient': '960.11067', 'aut_centralizer_order': 1, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1536.194556563', 'aut_weyl_index': 4, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.c1', '8.d1', '8.e1', '12.g1', '20.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1583, -1, 2197, -1], 'generators': [1959255, 1304672, 2486917, 2129625, 2879547, 1788885], 'label': '960.11067.4.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '4.d1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275254942
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.d1', '24.q1', '24.r1'], 'contains': ['96.b1', '96.d1', '96.e1', '240.i1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8148, -1, 3739, -1], 'generators': [127777, 2129625, 3705547], 'label': '960.11067.48.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.i1', 'projective_image': '96.185', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254943
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '24.g1', '24.q1'], 'contains': ['96.c1', '96.d1', '240.j1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9365, -1, 2708, -1], 'generators': [2002815, 2129625, 2001847], 'label': '960.11067.48.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.j1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254944
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.q1'], 'contains': ['96.c1', '96.e1', '240.k1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8490, -1, 3352, -1], 'generators': [1832445, 2129625, 2001847], 'label': '960.11067.48.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.k1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254945
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1', '24.q1'], 'contains': ['96.d1', '96.e1', '240.l1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7872, -1, 3996, -1], 'generators': [2002815, 2129625, 3705547], 'label': '960.11067.48.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.l1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275254946
    {'ambient': '960.11067', 'aut_centralizer_order': 32, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '24.r1'], 'contains': ['96.e1', '240.m1'], 'core': '192.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6270, -1, 4537, -1], 'generators': [2880537, 3705547, 2129625], 'label': '960.11067.48.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.m1', 'projective_image': '192.1468', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254947
    {'ambient': '960.11067', 'aut_centralizer_order': 512, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '20.a1', '30.a1', '30.e1'], 'contains': ['120.b1', '120.c1', '120.d1', '120.g1', '120.q1'], 'core': '60.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7246, 5119, 2833, 4622], 'generators': [1959255, 1788885, 128745, 2001847], 'label': '960.11067.60.a1', 'mobius_quo': -2, 'mobius_sub': 6, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.a1', '30.a1'], 'normal_contains': ['120.b1', '120.c1', '240.a1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': '240.196', 'quotient_action_image': '6.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254948
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '20.b1', '30.a1', '30.g1'], 'contains': ['120.b1', '120.h1', '120.i1'], 'core': '60.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3305, 4314, 3489, 6398], 'generators': [612847, 128745, 2001847], 'label': '960.11067.60.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.b1', 'normal_contained_in': ['12.b1', '20.b1', '30.a1'], 'normal_contains': ['120.b1', '240.b1'], 'normalizer': '1.a1', 'old_label': '60.b1', 'projective_image': '480.1198', 'quotient_action_image': '6.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '60.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275254949
    {'ambient': '960.11067', 'aut_centralizer_order': 256, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '30.a1', '30.b1', '30.c1'], 'contains': ['120.a1', '120.d1', '120.e1', '120.h1', '120.l1'], 'core': '120.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2856, -1, 6801, -1], 'generators': [1959255, 2486917, 2001847], 'label': '960.11067.60.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.c1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254950
    {'ambient': '960.11067', 'aut_centralizer_order': 128, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '30.a1', '30.d1'], 'contains': ['120.d1', '120.e1', '120.i1', '120.m1'], 'core': '240.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3744, -1, 5546, -1], 'generators': [1959255, 2528541, 2001847], 'label': '960.11067.60.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.d1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275254951
    {'ambient': '960.11067', 'aut_centralizer_order': 64, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '30.b1', '30.d1', '30.e1'], 'contains': ['120.d1', '120.f1', '120.j1', '120.n1'], 'core': '240.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1758, -1, 6554, -1], 'generators': [1959255, 2477039, 2001847], 'label': '960.11067.60.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.e1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}