Abstract group data - 240.38

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• gps_groups •

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

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.23', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [2, 2, 2, 4, 20], 'aut_gens': [[1, 8], [121, 8], [7, 8], [5, 88], [121, 56], [217, 12]], 'aut_group': '640.21483', 'aut_hash': 21483, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 640, 'aut_permdeg': 13, 'aut_perms': [1037877840, 41040, 90720, 1037968569, 1516838471], 'aut_phi_ratio': 10.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [3, 1, 2, 1], [4, 1, 2, 2], [5, 2, 2, 1], [6, 1, 2, 1], [6, 1, 4, 1], [8, 5, 8, 1], [10, 2, 2, 1], [10, 2, 4, 1], [12, 1, 4, 2], [15, 2, 4, 1], [20, 2, 4, 2], [24, 5, 16, 1], [30, 2, 4, 1], [30, 2, 8, 1], [60, 2, 8, 2]], 'aut_supersolvable': True, 'aut_tex': 'D_{10}.C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.46', 'autcent_hash': 46, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '20.3', 'autcentquo_hash': 3, 'autcentquo_nilpotent': False, 'autcentquo_order': 20, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 1, 2], [4, 1, 4], [5, 2, 2], [6, 1, 6], [8, 5, 8], [10, 2, 6], [12, 1, 8], [15, 2, 4], [20, 2, 8], [24, 5, 16], [30, 2, 12], [60, 2, 16]], 'center_label': '24.9', 'center_order': 24, 'central_product': True, 'central_quotient': '10.1', 'commutator_count': 1, 'commutator_label': '5.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 38, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['3.1', 1], ['40.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 1, 2, 1], [4, 1, 2, 2], [5, 2, 2, 1], [6, 1, 2, 3], [8, 5, 4, 2], [10, 2, 2, 3], [12, 1, 4, 2], [15, 2, 4, 1], [20, 2, 4, 2], [24, 5, 8, 2], [30, 2, 4, 3], [60, 2, 8, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 120, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '60.10', 'hash': 38, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 5], 'inner_gens': [[1, 152], [97, 8]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 10, 'inner_split': False, 'inner_tex': 'D_5', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 48]], 'label': '240.38', 'linC_count': 768, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 28, 'linQ_dim': 10, 'linQ_dim_count': 12, 'linR_count': 16, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C10:C24', 'ngens': 6, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 96, 'number_divisions': 28, 'number_normal_subgroups': 38, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 44, 'number_subgroups': 68, 'old_label': None, 'order': 240, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 4], [5, 4], [6, 6], [8, 40], [10, 12], [12, 8], [15, 8], [20, 16], [24, 80], [30, 24], [60, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [0, 0, 1, 1, 0], 'outer_gens': [[1, 88], [3, 8], [3, 136], [1, 60], [121, 140]], 'outer_group': '64.261', 'outer_hash': 261, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 10, 'outer_perms': [368040, 120, 1174327, 1174343, 1174337], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_2^3', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 8, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 8], [8, 8], [16, 2]], 'representations': {'PC': {'code': 2465805826885701036781575, 'gens': [1, 4], 'pres': [6, -2, -2, -2, -2, -3, -5, 12, 31, 3651, 69, 1924, 118, 6917]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [112173597417, 122109387504, 102113024674, 23635426569, 58220263298, 5515549257]}, 'Perm': {'d': 18, 'gens': [379406669241726, 1, 403200, 777033521510400, 1156002822374400, 966]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 24], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}:C_{24}', '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: 98209536
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 38, 'group_order': 240, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 98209547
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 38, 'group_order': 240, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 4, 'size': 1}
  • id: 98209558
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 38, 'group_order': 240, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 120, 'size': 1}
  • id: 98209569
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 38, 'group_order': 240, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 124, 'size': 1}
  • id: 98209580
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 38, 'group_order': 240, 'label': '3A1', 'order': 3, 'powers': [6, 1, 6], 'representative': 80, 'size': 1}
  • id: 98209591
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 38, 'group_order': 240, 'label': '3A-1', 'order': 3, 'powers': [5, 1, 5], 'representative': 160, 'size': 1}
  • id: 98209602
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 38, 'group_order': 240, 'label': '4A1', 'order': 4, 'powers': [2, 8, 7], 'representative': 6, 'size': 1}
  • id: 98209613
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 38, 'group_order': 240, 'label': '4A-1', 'order': 4, 'powers': [2, 7, 8], 'representative': 2, 'size': 1}
  • id: 98209624
    {'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 38, 'group_order': 240, 'label': '4B1', 'order': 4, 'powers': [2, 10, 9], 'representative': 126, 'size': 1}
  • id: 98209537
    {'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 38, 'group_order': 240, 'label': '4B-1', 'order': 4, 'powers': [2, 9, 10], 'representative': 122, 'size': 1}
  • id: 98209538
    {'aut_label': '5A1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 38, 'group_order': 240, 'label': '5A1', 'order': 5, 'powers': [12, 12, 1], 'representative': 48, 'size': 2}
  • id: 98209539
    {'aut_label': '5A1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 38, 'group_order': 240, 'label': '5A2', 'order': 5, 'powers': [11, 11, 1], 'representative': 96, 'size': 2}
  • id: 98209540
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 38, 'group_order': 240, 'label': '6A1', 'order': 6, 'powers': [5, 2, 14], 'representative': 164, 'size': 1}
  • id: 98209541
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 38, 'group_order': 240, 'label': '6A-1', 'order': 6, 'powers': [6, 2, 13], 'representative': 84, 'size': 1}
  • id: 98209542
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 38, 'group_order': 240, 'label': '6B1', 'order': 6, 'powers': [5, 3, 16], 'representative': 40, 'size': 1}
  • id: 98209543
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 38, 'group_order': 240, 'label': '6B-1', 'order': 6, 'powers': [6, 3, 15], 'representative': 200, 'size': 1}
  • id: 98209544
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 38, 'group_order': 240, 'label': '6C1', 'order': 6, 'powers': [5, 4, 18], 'representative': 44, 'size': 1}
  • id: 98209545
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 38, 'group_order': 240, 'label': '6C-1', 'order': 6, 'powers': [6, 4, 17], 'representative': 204, 'size': 1}
  • id: 98209546
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 19, 'group_counter': 38, 'group_order': 240, 'label': '8A1', 'order': 8, 'powers': [7, 21, 22], 'representative': 99, 'size': 5}
  • id: 98209548
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 20, 'group_counter': 38, 'group_order': 240, 'label': '8A-1', 'order': 8, 'powers': [8, 22, 21], 'representative': 101, 'size': 5}
  • id: 98209549
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 21, 'group_counter': 38, 'group_order': 240, 'label': '8A3', 'order': 8, 'powers': [8, 19, 20], 'representative': 97, 'size': 5}
  • id: 98209550
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 22, 'group_counter': 38, 'group_order': 240, 'label': '8A-3', 'order': 8, 'powers': [7, 20, 19], 'representative': 103, 'size': 5}
  • id: 98209551
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 23, 'group_counter': 38, 'group_order': 240, 'label': '8B1', 'order': 8, 'powers': [7, 25, 26], 'representative': 171, 'size': 5}
  • id: 98209552
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 24, 'group_counter': 38, 'group_order': 240, 'label': '8B-1', 'order': 8, 'powers': [8, 26, 25], 'representative': 173, 'size': 5}
  • id: 98209553
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 25, 'group_counter': 38, 'group_order': 240, 'label': '8B3', 'order': 8, 'powers': [8, 23, 24], 'representative': 169, 'size': 5}
  • id: 98209554
    {'aut_label': '8A1', 'centralizer': '5.a1.a1', 'counter': 26, 'group_counter': 38, 'group_order': 240, 'label': '8B-3', 'order': 8, 'powers': [7, 24, 23], 'representative': 175, 'size': 5}
  • id: 98209555
    {'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 38, 'group_order': 240, 'label': '10A1', 'order': 10, 'powers': [11, 28, 3], 'representative': 24, 'size': 2}
  • id: 98209556
    {'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 38, 'group_order': 240, 'label': '10A3', 'order': 10, 'powers': [12, 27, 3], 'representative': 72, 'size': 2}
  • id: 98209557
    {'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 38, 'group_order': 240, 'label': '10B1', 'order': 10, 'powers': [11, 30, 4], 'representative': 28, 'size': 2}
  • id: 98209559
    {'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 38, 'group_order': 240, 'label': '10B3', 'order': 10, 'powers': [12, 29, 4], 'representative': 76, 'size': 2}
  • id: 98209560
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 38, 'group_order': 240, 'label': '10C1', 'order': 10, 'powers': [11, 32, 2], 'representative': 100, 'size': 2}
  • id: 98209561
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 38, 'group_order': 240, 'label': '10C3', 'order': 10, 'powers': [12, 31, 2], 'representative': 52, 'size': 2}
  • id: 98209562
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 38, 'group_order': 240, 'label': '12A1', 'order': 12, 'powers': [13, 7, 35], 'representative': 82, 'size': 1}
  • id: 98209563
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 38, 'group_order': 240, 'label': '12A-1', 'order': 12, 'powers': [14, 8, 36], 'representative': 166, 'size': 1}
  • id: 98209564
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 38, 'group_order': 240, 'label': '12A5', 'order': 12, 'powers': [14, 7, 33], 'representative': 162, 'size': 1}
  • id: 98209565
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 38, 'group_order': 240, 'label': '12A-5', 'order': 12, 'powers': [13, 8, 34], 'representative': 86, 'size': 1}
  • id: 98209566
    {'aut_label': '12B1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 38, 'group_order': 240, 'label': '12B1', 'order': 12, 'powers': [14, 9, 39], 'representative': 42, 'size': 1}
  • id: 98209567
    {'aut_label': '12B1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 38, 'group_order': 240, 'label': '12B-1', 'order': 12, 'powers': [13, 10, 40], 'representative': 206, 'size': 1}
  • id: 98209568
    {'aut_label': '12B1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 38, 'group_order': 240, 'label': '12B5', 'order': 12, 'powers': [13, 9, 37], 'representative': 202, 'size': 1}
  • id: 98209570
    {'aut_label': '12B1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 38, 'group_order': 240, 'label': '12B-5', 'order': 12, 'powers': [14, 10, 38], 'representative': 46, 'size': 1}
  • id: 98209571
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 38, 'group_order': 240, 'label': '15A1', 'order': 15, 'powers': [43, 11, 5], 'representative': 16, 'size': 2}
  • id: 98209572
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 38, 'group_order': 240, 'label': '15A-1', 'order': 15, 'powers': [44, 11, 6], 'representative': 224, 'size': 2}
  • id: 98209573
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 38, 'group_order': 240, 'label': '15A2', 'order': 15, 'powers': [41, 12, 6], 'representative': 32, 'size': 2}
  • id: 98209574
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 38, 'group_order': 240, 'label': '15A-2', 'order': 15, 'powers': [42, 12, 5], 'representative': 208, 'size': 2}
  • id: 98209575
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 38, 'group_order': 240, 'label': '20A1', 'order': 20, 'powers': [31, 47, 7], 'representative': 54, 'size': 2}
  • id: 98209576
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 38, 'group_order': 240, 'label': '20A-1', 'order': 20, 'powers': [31, 48, 8], 'representative': 194, 'size': 2}
  • id: 98209577
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 38, 'group_order': 240, 'label': '20A3', 'order': 20, 'powers': [32, 45, 8], 'representative': 146, 'size': 2}
  • id: 98209578
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 38, 'group_order': 240, 'label': '20A-3', 'order': 20, 'powers': [32, 46, 7], 'representative': 102, 'size': 2}
  • id: 98209579
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 38, 'group_order': 240, 'label': '20B1', 'order': 20, 'powers': [32, 51, 9], 'representative': 30, 'size': 2}
  • id: 98209581
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 38, 'group_order': 240, 'label': '20B-1', 'order': 20, 'powers': [32, 52, 10], 'representative': 218, 'size': 2}
  • id: 98209582
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 38, 'group_order': 240, 'label': '20B3', 'order': 20, 'powers': [31, 49, 10], 'representative': 74, 'size': 2}
  • id: 98209583
    {'aut_label': '20B1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 38, 'group_order': 240, 'label': '20B-3', 'order': 20, 'powers': [31, 50, 9], 'representative': 174, 'size': 2}
  • id: 98209584
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 53, 'group_counter': 38, 'group_order': 240, 'label': '24A1', 'order': 24, 'powers': [33, 19, 55], 'representative': 17, 'size': 5}
  • id: 98209585
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 54, 'group_counter': 38, 'group_order': 240, 'label': '24A-1', 'order': 24, 'powers': [34, 20, 56], 'representative': 39, 'size': 5}
  • id: 98209586
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 55, 'group_counter': 38, 'group_order': 240, 'label': '24A5', 'order': 24, 'powers': [35, 22, 53], 'representative': 37, 'size': 5}
  • id: 98209587
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 56, 'group_counter': 38, 'group_order': 240, 'label': '24A-5', 'order': 24, 'powers': [36, 21, 54], 'representative': 19, 'size': 5}
  • id: 98209588
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 57, 'group_counter': 38, 'group_order': 240, 'label': '24A7', 'order': 24, 'powers': [36, 20, 59], 'representative': 23, 'size': 5}
  • id: 98209589
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 58, 'group_counter': 38, 'group_order': 240, 'label': '24A-7', 'order': 24, 'powers': [35, 19, 60], 'representative': 33, 'size': 5}
  • id: 98209590
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 59, 'group_counter': 38, 'group_order': 240, 'label': '24A11', 'order': 24, 'powers': [34, 21, 57], 'representative': 35, 'size': 5}
  • id: 98209592
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 60, 'group_counter': 38, 'group_order': 240, 'label': '24A-11', 'order': 24, 'powers': [33, 22, 58], 'representative': 21, 'size': 5}
  • id: 98209593
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 61, 'group_counter': 38, 'group_order': 240, 'label': '24B1', 'order': 24, 'powers': [35, 23, 63], 'representative': 9, 'size': 5}
  • id: 98209594
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 62, 'group_counter': 38, 'group_order': 240, 'label': '24B-1', 'order': 24, 'powers': [36, 24, 64], 'representative': 47, 'size': 5}
  • id: 98209595
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 63, 'group_counter': 38, 'group_order': 240, 'label': '24B5', 'order': 24, 'powers': [33, 26, 61], 'representative': 45, 'size': 5}
  • id: 98209596
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 64, 'group_counter': 38, 'group_order': 240, 'label': '24B-5', 'order': 24, 'powers': [34, 25, 62], 'representative': 11, 'size': 5}
  • id: 98209597
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 65, 'group_counter': 38, 'group_order': 240, 'label': '24B7', 'order': 24, 'powers': [34, 24, 67], 'representative': 15, 'size': 5}
  • id: 98209598
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 66, 'group_counter': 38, 'group_order': 240, 'label': '24B-7', 'order': 24, 'powers': [33, 23, 68], 'representative': 41, 'size': 5}
  • id: 98209599
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 67, 'group_counter': 38, 'group_order': 240, 'label': '24B11', 'order': 24, 'powers': [36, 25, 65], 'representative': 43, 'size': 5}
  • id: 98209600
    {'aut_label': '24A1', 'centralizer': '5.a1.a1', 'counter': 68, 'group_counter': 38, 'group_order': 240, 'label': '24B-11', 'order': 24, 'powers': [35, 26, 66], 'representative': 13, 'size': 5}
  • id: 98209601
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 38, 'group_order': 240, 'label': '30A1', 'order': 30, 'powers': [41, 27, 15], 'representative': 8, 'size': 2}
  • id: 98209603
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 38, 'group_order': 240, 'label': '30A-1', 'order': 30, 'powers': [42, 27, 16], 'representative': 88, 'size': 2}
  • id: 98209604
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 38, 'group_order': 240, 'label': '30A7', 'order': 30, 'powers': [44, 28, 15], 'representative': 56, 'size': 2}
  • id: 98209605
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 38, 'group_order': 240, 'label': '30A-7', 'order': 30, 'powers': [43, 28, 16], 'representative': 136, 'size': 2}
  • id: 98209606
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 38, 'group_order': 240, 'label': '30B1', 'order': 30, 'powers': [41, 29, 17], 'representative': 12, 'size': 2}
  • id: 98209607
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 38, 'group_order': 240, 'label': '30B-1', 'order': 30, 'powers': [42, 29, 18], 'representative': 92, 'size': 2}
  • id: 98209608
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 38, 'group_order': 240, 'label': '30B7', 'order': 30, 'powers': [44, 30, 17], 'representative': 60, 'size': 2}
  • id: 98209609
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 38, 'group_order': 240, 'label': '30B-7', 'order': 30, 'powers': [43, 30, 18], 'representative': 140, 'size': 2}
  • id: 98209610
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 38, 'group_order': 240, 'label': '30C1', 'order': 30, 'powers': [41, 31, 13], 'representative': 36, 'size': 2}
  • id: 98209611
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 38, 'group_order': 240, 'label': '30C-1', 'order': 30, 'powers': [42, 31, 14], 'representative': 212, 'size': 2}
  • id: 98209612
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 38, 'group_order': 240, 'label': '30C7', 'order': 30, 'powers': [44, 32, 13], 'representative': 228, 'size': 2}
  • id: 98209614
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 38, 'group_order': 240, 'label': '30C-7', 'order': 30, 'powers': [43, 32, 14], 'representative': 20, 'size': 2}
  • id: 98209615
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 38, 'group_order': 240, 'label': '60A1', 'order': 60, 'powers': [77, 45, 33], 'representative': 18, 'size': 2}
  • id: 98209616
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 38, 'group_order': 240, 'label': '60A-1', 'order': 60, 'powers': [78, 46, 34], 'representative': 182, 'size': 2}
  • id: 98209617
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 38, 'group_order': 240, 'label': '60A7', 'order': 60, 'powers': [79, 47, 36], 'representative': 118, 'size': 2}
  • id: 98209618
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 38, 'group_order': 240, 'label': '60A-7', 'order': 60, 'powers': [80, 48, 35], 'representative': 34, 'size': 2}
  • id: 98209619
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 38, 'group_order': 240, 'label': '60A13', 'order': 60, 'powers': [79, 48, 33], 'representative': 114, 'size': 2}
  • id: 98209620
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 38, 'group_order': 240, 'label': '60A-13', 'order': 60, 'powers': [80, 47, 34], 'representative': 38, 'size': 2}
  • id: 98209621
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 38, 'group_order': 240, 'label': '60A19', 'order': 60, 'powers': [77, 46, 36], 'representative': 22, 'size': 2}
  • id: 98209622
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 38, 'group_order': 240, 'label': '60A-19', 'order': 60, 'powers': [78, 45, 35], 'representative': 178, 'size': 2}
  • id: 98209623
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 38, 'group_order': 240, 'label': '60B1', 'order': 60, 'powers': [80, 49, 37], 'representative': 10, 'size': 2}
  • id: 98209625
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 38, 'group_order': 240, 'label': '60B-1', 'order': 60, 'powers': [79, 50, 38], 'representative': 94, 'size': 2}
  • id: 98209626
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 38, 'group_order': 240, 'label': '60B7', 'order': 60, 'powers': [78, 51, 40], 'representative': 62, 'size': 2}
  • id: 98209627
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 38, 'group_order': 240, 'label': '60B-7', 'order': 60, 'powers': [77, 52, 39], 'representative': 138, 'size': 2}
  • id: 98209628
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 38, 'group_order': 240, 'label': '60B13', 'order': 60, 'powers': [78, 52, 37], 'representative': 58, 'size': 2}
  • id: 98209629
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 38, 'group_order': 240, 'label': '60B-13', 'order': 60, 'powers': [77, 51, 38], 'representative': 142, 'size': 2}
  • id: 98209630
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 38, 'group_order': 240, 'label': '60B19', 'order': 60, 'powers': [80, 50, 40], 'representative': 14, 'size': 2}
  • id: 98209631
    {'aut_label': '60B1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 38, 'group_order': 240, 'label': '60B-19', 'order': 60, 'powers': [79, 49, 39], 'representative': 90, 'size': 2}
• gps_qchar •

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

  
  
  • id: 273508
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1a', '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], 'schur_index': 1}
  • id: 273519
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1b', '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], 'schur_index': 1}
  • id: 273529
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1c', '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], 'schur_index': 1}
  • id: 273530
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1d', '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], 'schur_index': 1}
  • id: 273531
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 273532
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2], 'schur_index': 1}
  • id: 273533
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 273534
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1h', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -1, -1, -2, 2, 2, -2, 2, 2, 1, 1, -1, 1, 1, -1, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 2, -2, 2, -2, 2, -2, -2, 2, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 273535
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1i', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -1, -1, -2, 2, 2, -2, 2, 2, 1, 1, -1, 1, 1, -1, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 2, -2, 2, -2, 2, -2, -2, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 273509
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1j', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 273510
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1k', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, 4, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 273511
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1l', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 273512
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1m', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -2, 4, -4, -4, 4, 4, 4, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -4, 4, -4, 4, -4, 4, 4, -4, 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, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 273513
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1n', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -2, -4, -4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 273516
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2a', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -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, -1, -1, -1, -1, -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: 273517
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2b', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, 4, 4, -4, -1, -1, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 4, 4, 4, 4, -4, -4, -4, -4, -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, 1, 1, 1, 1, -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: 273518
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2c', 'multiplicity': 2, 'nt': [20, 2], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 4, -4, -4, 4, -1, -1, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -4, -4, -4, -4, 4, 4, 4, 4, -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, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1], 'schur_index': 2}
  • id: 273520
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2d', 'multiplicity': 2, 'nt': [20, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 2}
  • id: 273514
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1o', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -4, -4, 0, 0, 0, 0, 8, 8, -4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 4, -4, 4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 273515
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.1p', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -4, -4, 0, 0, 0, 0, 8, 8, 4, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 4, 4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 273521
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2e', 'multiplicity': 4, 'nt': [15, 3], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -4, -4, 8, 8, 8, 8, -2, -2, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, 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: 273522
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2f', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -4, -4, -8, 8, 8, -8, -2, -2, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -4, -4, -4, -4, 4, 4, 4, 4, 1, 1, 1, 1, -2, 2, -2, 2, -2, 2, 2, -2, 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: 273523
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2g', 'multiplicity': 4, 'nt': [40, 3], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 8, 8, 0, 0, 0, 0, -2, -2, 8, -8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 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, -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: 273524
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2h', 'multiplicity': 4, 'nt': [40, 3], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, 8, 0, 0, 0, 0, -2, -2, -8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 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, 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: 273525
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2i', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -4, -4, 8, -8, -8, 8, -2, -2, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 4, 4, 4, 4, -4, -4, -4, -4, 1, 1, 1, 1, 2, -2, 2, -2, 2, -2, -2, 2, 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: 273526
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2j', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -4, -4, -8, -8, -8, -8, -2, -2, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 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: 273527
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2k', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -8, -8, 0, 0, 0, 0, -4, -4, -8, 8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 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, 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: 273528
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '240.38', 'group_order': 240, 'image': None, 'label': '240.38.2l', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -8, -8, 0, 0, 0, 0, -4, -4, 8, -8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 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, -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}
• 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: 400626
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 240, 'label': '240.38.1a', '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]]]}
  • id: 400637
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 120, 'label': '240.38.1b', '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]]]}
  • id: 400648
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 120, 'label': '240.38.1c', '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]]]}
  • id: 400659
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 120, 'label': '240.38.1d', '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]]]}
  • id: 400670
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 80, 'label': '240.38.1e1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, 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, 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]], [[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: 400681
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 80, 'label': '240.38.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 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, 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]], [[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: 400692
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 60, 'label': '240.38.1f1', 'nt': [4, 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, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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: 400703
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 60, 'label': '240.38.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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: 400714
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 60, 'label': '240.38.1g1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 400627
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 60, 'label': '240.38.1g2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 400628
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 40, 'label': '240.38.1h1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-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, 0]], [[1, 0]], [[1, 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, 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]], [[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: 400629
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 40, 'label': '240.38.1h2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-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, 0]], [[1, 0]], [[1, 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, 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]], [[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: 400630
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 40, 'label': '240.38.1i1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-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, 0]], [[-1, 0]], [[-1, 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, 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]], [[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: 400631
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 40, 'label': '240.38.1i2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-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, 0]], [[-1, 0]], [[-1, 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, 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]], [[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: 400632
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 40, 'label': '240.38.1j1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[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, 0]], [[-1, 0]], [[-1, 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, 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]], [[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: 400633
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 40, 'label': '240.38.1j2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[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, 0]], [[-1, 0]], [[-1, 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, 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]], [[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: 400634
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 17, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.b1', 'kernel_order': 30, 'label': '240.38.1k1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 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, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 400635
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 18, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.b1', 'kernel_order': 30, 'label': '240.38.1k2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 400636
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 19, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.b1', 'kernel_order': 30, 'label': '240.38.1k3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 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, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 400638
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 20, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.b1', 'kernel_order': 30, 'label': '240.38.1k4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 400639
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 21, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 30, 'label': '240.38.1l1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 400640
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 22, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 30, 'label': '240.38.1l2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 400641
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 23, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 30, 'label': '240.38.1l3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 400642
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 24, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 30, 'label': '240.38.1l4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 400643
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 25, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 20, 'label': '240.38.1m1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-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, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]]]}
  • id: 400644
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 26, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 20, 'label': '240.38.1m2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]]]}
  • id: 400645
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 27, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 20, 'label': '240.38.1m3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-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, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]]]}
  • id: 400646
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 28, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 20, 'label': '240.38.1m4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]]]}
  • id: 400647
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 29, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 20, 'label': '240.38.1n1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-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, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]]]}
  • id: 400649
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 30, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 20, 'label': '240.38.1n2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]]]}
  • id: 400650
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 31, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 20, 'label': '240.38.1n3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-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, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]]]}
  • id: 400651
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  • id: 400652
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 33, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 5]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]]]}
  • id: 400653
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 34, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]]]}
  • id: 400654
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 35, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 5]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]]]}
  • id: 400655
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 36, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[1, 11]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]]]}
  • id: 400656
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 37, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 11]], [[1, 11]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]]]}
  • id: 400657
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 38, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 11]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[1, 1]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]]]}
  • id: 400658
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 39, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[1, 11]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]]]}
  • id: 400660
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 40, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.38.1o8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 1]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[1, 5]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]]]}
  • id: 400661
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 41, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 11]], [[-1, 11]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]]]}
  • id: 400662
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 42, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[1, 11]], [[1, 5]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]]]}
  • id: 400663
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 43, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]]]}
  • id: 400664
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 44, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 5]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]]]}
  • id: 400665
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 45, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 5]], [[-1, 5]], [[1, 11]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[1, 7]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]]]}
  • id: 400666
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 46, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 9]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[1, 5]], [[1, 11]], [[-1, 11]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]]]}
  • id: 400667
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 47, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 1]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 5]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]]]}
  • id: 400668
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 48, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.38.1p8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[1, 9]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 5]], [[1, 11]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]]]}
  • id: 400669
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 49, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 24, 'label': '240.38.2a1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 400671
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 50, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 24, 'label': '240.38.2a2', 'nt': [5, 2], 'q_character': None, 'values': [[[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, 2], [1, -2]], [[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]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 400672
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 51, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.38.2b1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-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]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 400673
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 52, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.38.2b2', 'nt': [10, 3], 'q_character': None, 'values': [[[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, 2], [1, -2]], [[-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]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[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]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [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, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 400674
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 53, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.c1.a1', 'kernel_order': 12, 'label': '240.38.2c1', 'nt': [20, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-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]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[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]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-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, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 400675
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 54, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.c1.a1', 'kernel_order': 12, 'label': '240.38.2c2', 'nt': [20, 2], 'q_character': None, 'values': [[[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, 2], [1, -2]], [[-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]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-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]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-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, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 400676
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 55, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.a1.a1', 'kernel_order': 12, 'label': '240.38.2d1', 'nt': [20, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-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]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 400677
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 56, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.a1.a1', 'kernel_order': 12, 'label': '240.38.2d2', 'nt': [20, 2], 'q_character': None, 'values': [[[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, 2], [1, -2]], [[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]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 400678
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 57, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.38.2e1', 'nt': [15, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]]]}
  • id: 400679
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 58, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.38.2e2', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]]]}
  • id: 400680
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 59, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.38.2e3', 'nt': [15, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [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]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]]]}
  • id: 400682
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 60, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.38.2e4', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [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]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]]]}
  • id: 400683
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 61, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.38.2f1', 'nt': [30, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]]]}
  • id: 400684
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 62, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.38.2f2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]]]}
  • id: 400685
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 63, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.38.2f3', 'nt': [30, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [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]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]]]}
  • id: 400686
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 64, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.38.2f4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [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]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]]]}
  • id: 400687
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 65, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.38.2g1', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]]]}
  • id: 400688
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 66, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.38.2g2', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]]]}
  • id: 400689
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 67, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.38.2g3', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[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]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 400690
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 68, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.38.2g4', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[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]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 400691
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 69, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.38.2h1', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]]]}
  • id: 400693
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 70, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.38.2h2', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]]]}
  • id: 400694
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 71, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.38.2h3', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 400695
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 72, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.38.2h4', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 400696
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 73, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 4, 'label': '240.38.2i1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]]]}
  • id: 400697
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 74, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 4, 'label': '240.38.2i2', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]]]}
  • id: 400698
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 75, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 4, 'label': '240.38.2i3', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-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]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]]]}
  • id: 400699
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 76, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 4, 'label': '240.38.2i4', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-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]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]]]}
  • id: 400700
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 77, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 4, 'label': '240.38.2j1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]]]}
  • id: 400701
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 78, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 4, 'label': '240.38.2j2', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]]]}
  • id: 400702
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 79, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 4, 'label': '240.38.2j3', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-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]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]]]}
  • id: 400704
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 80, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 4, 'label': '240.38.2j4', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-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]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]]]}
  • id: 400705
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 81, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k1', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 400706
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 82, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k2', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]]]}
  • id: 400707
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 83, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 400708
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 84, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k4', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]]]}
  • id: 400709
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 85, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k5', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 400710
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 86, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k6', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]]]}
  • id: 400711
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 87, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k7', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 400712
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 88, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.38.2k8', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]]]}
  • id: 400713
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 89, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l1', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 400715
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 90, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l2', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]]]}
  • id: 400716
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 91, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 400717
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 92, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l4', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]]]}
  • id: 400718
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 93, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l5', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 400719
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 94, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l6', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]]]}
  • id: 400720
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 95, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l7', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 400721
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 24, 'counter': 96, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '240.38', 'group_counter': 38, 'group_order': 240, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.38.2l8', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]]]}
• 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: 20980522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 240, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '240.38.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.38', 'subgroup_hash': 38, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 20980533
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 120, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, '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: 20980544
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '240.38.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 20980555
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '240.38.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 20980561
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': True, 'core_order': 80, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '240.38.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.9', 'subgroup_hash': 9, 'subgroup_order': 80, 'subgroup_tex': 'C_{10}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 20980562
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 60, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, '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: 20980563
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 60, 'counter': 7, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 20980564
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 60, 'counter': 8, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 20980565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '240.38.5.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 20980523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 40, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20980524
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 11, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '240.38.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 20980525
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 12, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '240.38.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 20980526
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 30, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20980527
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 30, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20980528
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 30, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20980529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 24, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, '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: 20980530
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 17, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.38.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 20980531
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 18, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.38.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 20980532
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 20, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 20980534
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 20, 'counter': 20, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', '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: 20980535
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 20, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', '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: 20980536
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '240.38.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 2}
  • id: 20980537
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 15, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '240.38.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20980538
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 12, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20980539
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 12, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 20980540
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 12, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 20980541
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 10, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', '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: 20980542
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 28, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', '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: 20980543
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', '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: 20980545
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 8, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', '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: 20980546
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.38.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 20980547
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.38.30.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 20980548
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 6, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20980549
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 34, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '240.38.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20980550
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 35, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '240.38.40.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20980551
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 5, 'counter': 36, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '240.38.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C5'], '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: 20980552
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 4, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.38.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{12}', '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: 20980553
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 4, 'counter': 38, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 20980554
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 4, 'counter': 39, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{12}', '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: 20980556
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 3, 'counter': 40, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '240.38.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 20980557
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 2, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.38.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.19', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{12}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20980558
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 42, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '240.38.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{24}', '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: 20980559
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 43, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '240.38.120.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{24}', '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: 20980560
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.38', 'ambient_counter': 38, 'ambient_order': 240, 'ambient_tex': 'C_{10}:C_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '240.38.240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '240.38', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 20980522
    {'ambient': '240.38', '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': '10.a1.a1', 'complements': ['240.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8154, 2205, 1939, 2459, 6524, 2604, 6302, 7144], 'generators': [1, 48, 160, 2, 120, 4], 'label': '240.38.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '10.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 20980523
    {'ambient': '240.38', 'aut_centralizer_order': 40, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 40, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5349, 2582, 4907, 2564, 4991, 2624, 5643, 7468], 'generators': [2, 48, 4, 120], 'label': '240.38.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.c1.a1', '12.b1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '30.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980524
    {'ambient': '240.38', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 8, 'centralizer': '10.a1.a1', 'complements': ['40.b1.a1', '40.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '30.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8361, 367, 1883, 1121, 7632, 384, 9717, 8592], 'generators': [1, 4, 48, 2], 'label': '240.38.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '60.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 20980525
    {'ambient': '240.38', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '80.50', 'aut_weyl_index': 8, 'centralizer': '10.a1.a1', 'complements': ['40.b1.a1', '40.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.b1.a1', '30.b1.b1'], 'core': '6.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8361, 367, 2872, 321, 7632, 384, 7971, 9399], 'generators': [27, 4, 48, 6], 'label': '240.38.6.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.b1', 'normal_contained_in': ['2.b1.b1', '3.a1.a1'], 'normal_contains': ['12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '60.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 20980526
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2927, 6773, 6262, 6021, 1116, 5612, 2657, 3045], 'generators': [4, 48, 160], 'label': '240.38.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.c1.a1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980527
    {'ambient': '240.38', 'aut_centralizer_order': 40, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': ['30.b1.a1', '30.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.b1.a1', '40.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [843, 8888, 9113, 8749, 318, 9637, 942, 1079], 'generators': [120, 48, 160], 'label': '240.38.8.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.b1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '40.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980528
    {'ambient': '240.38', 'aut_centralizer_order': 40, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': ['30.b1.a1', '30.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.b1.b1', '40.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [843, 8888, 8111, 9679, 318, 9637, 268, 307], 'generators': [124, 48, 160], 'label': '240.38.8.b1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.b1.b1', '40.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '40.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980529
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 80, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '30.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6797, 3148, 3120, 4544, 6470, 4315, 3714, 5257], 'generators': [2, 120, 160, 4], 'label': '240.38.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['20.a1.a1', '20.c1.a1', '20.b1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '10.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.1', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980530
    {'ambient': '240.38', 'aut_centralizer_order': 8, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 80, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.b1.a1', '30.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9149, -1, 887, -1, 8448, -1, 7282, -1], 'generators': [1, 160, 2, 4], 'label': '240.38.10.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980531
    {'ambient': '240.38', 'aut_centralizer_order': 8, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 80, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.b1.a1', '30.b1.b1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9149, -1, 2069, -1, 8448, -1, 6608, -1], 'generators': [27, 160, 6, 4], 'label': '240.38.10.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980532
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '60.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2345, 5769, 7251, 6960, 2259, 6919, 3622, 4151], 'generators': [4, 48, 120], 'label': '240.38.12.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.b1.b1', '24.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '60.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980533
    {'ambient': '240.38', 'aut_centralizer_order': 20, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 20, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '6.a1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5594, 3843, 4636, 4613, 4229, 4315, 3744, 4967], 'generators': [2, 160, 48, 120, 4], 'label': '240.38.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.b1.a1', '6.a1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '10.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980534
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '12.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '60.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5188, 1261, 4530, 1685, 6234, 550, 7649, 8767], 'generators': [2, 4, 48], 'label': '240.38.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'normal_contains': ['24.a1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980535
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '60.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4207, 3764, 5625, 2893, 4637, 3786, 5260, 6801], 'generators': [126, 4, 48], 'label': '240.38.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '60.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980536
    {'ambient': '240.38', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '16.11', 'aut_weyl_index': 40, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.a1', '30.b1.a1', '30.b1.b1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8154, -1, 1086, -1, 9464, -1, 8844, -1], 'generators': [1, 120], 'label': '240.38.15.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '30.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980537
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1'], 'contains': ['48.a1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [268, 9136, 9131, 9375, 1062, 7127, 919, 1220], 'generators': [160, 48], 'label': '240.38.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.b1.a1', '8.b1.b1', '8.a1.a1'], 'normal_contains': ['48.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '80.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980538
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.b1.b1', '60.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3984, 7270, 5927, 7080, 3621, 8475, 1799, 2062], 'generators': [4, 120, 160], 'label': '240.38.20.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1'], 'normal_contains': ['40.b1.a1', '40.b1.b1', '40.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '20.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.1', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980539
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['40.a1.a1', '60.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7196, 1668, 3126, 3883, 7033, 1463, 5934, 6029], 'generators': [2, 160, 4], 'label': '240.38.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '20.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.4', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980540
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '20.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '60.c1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5135, 4271, 4765, 4978, 5435, 4699, 4586, 5257], 'generators': [126, 160, 4], 'label': '240.38.20.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '20.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.1', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980541
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '24.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2253, 5273, 6862, 4180, 3312, 4616, 4671, 5520], 'generators': [4, 48], 'label': '240.38.24.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.c1.a1', '12.b1.a1'], 'normal_contains': ['48.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980542
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': ['10.b1.a1', '10.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '120.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [943, 8263, 9366, 8280, 1860, 8039, 2818, 3396], 'generators': [120, 48], 'label': '240.38.24.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '120.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980543
    {'ambient': '240.38', 'aut_centralizer_order': 80, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': ['10.b1.a1', '10.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.a1.a1'], 'contains': ['48.a1.a1', '120.b1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [943, 8263, 7721, 9375, 1860, 8039, 2144, 2624], 'generators': [124, 48], 'label': '240.38.24.b1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': ['8.b1.b1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.b1', 'projective_image': '120.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980544
    {'ambient': '240.38', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 4, 'centralizer': '10.a1.a1', 'complements': ['120.b1.a1', '120.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '6.b1.a1', '10.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8544, 2205, 1308, 3180, 5771, 871, 7565, 6415], 'generators': [1, 2, 4, 160, 48], 'label': '240.38.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '6.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '20.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 20980545
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.b1.a1', '60.c1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6637, 2652, 3905, 2910, 8048, 2624, 6791, 7784], 'generators': [2, 120], 'label': '240.38.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1'], 'normal_contains': ['60.a1.a1', '60.c1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '30.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '30.2', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980546
    {'ambient': '240.38', 'aut_centralizer_order': 16, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 160, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.b1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8667, -1, 1432, -1, 8993, -1, 8836, -1], 'generators': [1], 'label': '240.38.30.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '60.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980547
    {'ambient': '240.38', 'aut_centralizer_order': 16, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '4.2', 'aut_weyl_index': 160, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '10.b1.b1', '15.a1.a1'], 'contains': ['60.b1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8667, -1, 2118, -1, 8993, -1, 8262, -1], 'generators': [27], 'label': '240.38.30.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.b1.b1', 'projective_image': '60.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980548
    {'ambient': '240.38', 'aut_centralizer_order': 320, 'aut_label': '40.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '120.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4130, 5919, 5539, 5552, 4038, 5446, 3430, 4098], 'generators': [4, 160], 'label': '240.38.40.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1', '20.c1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '40.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.7', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980549
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': ['6.b1.a1', '6.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.a1.a1'], 'contains': ['80.a1.a1', '120.b1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2138, 9574, 8124, 7645, 2586, 8869, 1531, 1922], 'generators': [120, 160], 'label': '240.38.40.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '40.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.1', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980550
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': ['6.b1.a1', '6.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '20.a1.a1'], 'contains': ['80.a1.a1', '120.b1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2138, 9574, 7431, 8271, 2586, 8869, 306, 518], 'generators': [124, 160], 'label': '240.38.40.b1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.b1.b1', 'normal_contained_in': ['8.b1.b1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.b1', 'projective_image': '40.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.1', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980551
    {'ambient': '240.38', 'aut_centralizer_order': 160, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1'], 'contains': ['240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [590, 8133, 9551, 9636, 1878, 6421, 2665, 3221], 'generators': [48], 'label': '240.38.48.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1', '24.b1.b1', '24.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '240.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980552
    {'ambient': '240.38', 'aut_centralizer_order': 320, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.b1.a1', '120.b1.b1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3609, 6127, 6522, 6282, 4737, 6245, 4020, 4774], 'generators': [4, 120], 'label': '240.38.60.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.b1.a1', '120.b1.b1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '60.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.2', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980553
    {'ambient': '240.38', 'aut_centralizer_order': 320, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1', '30.b1.a1', '30.b1.b1'], 'contains': ['120.a1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6637, 1966, 3250, 3492, 7033, 2044, 7220, 7565], 'generators': [2], 'label': '240.38.60.b1.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.b1.a1', 'normal_contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '60.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.10', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980554
    {'ambient': '240.38', 'aut_centralizer_order': 320, 'aut_label': '60.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1'], 'contains': ['120.a1.a1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4927, 3774, 4803, 2849, 5435, 3786, 5283, 6582], 'generators': [126], 'label': '240.38.60.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.c1.a1', 'normal_contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.c1.a1', 'projective_image': '60.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.2', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980555
    {'ambient': '240.38', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 4, 'centralizer': '10.a1.a1', 'complements': ['120.b1.a1', '120.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '6.b1.b1', '10.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8544, 2205, 2805, 1729, 5771, 871, 5038, 7881], 'generators': [27, 6, 4, 160, 48], 'label': '240.38.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '6.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '20.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 20980556
    {'ambient': '240.38', 'aut_centralizer_order': 320, 'aut_label': '80.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.b1.b1'], 'contains': ['240.a1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [881, 9037, 8191, 8045, 2550, 7168, 1531, 1922], 'generators': [160], 'label': '240.38.80.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.b1.a1', '40.b1.b1', '40.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '80.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.9', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980557
    {'ambient': '240.38', 'aut_centralizer_order': 640, 'aut_label': '120.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.b1.a1', '60.c1.a1'], 'contains': ['240.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3932, 5343, 5940, 4770, 4383, 5031, 4341, 5143], 'generators': [4], 'label': '240.38.120.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.c1.a1', '60.b1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '120.19', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.19', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980558
    {'ambient': '240.38', 'aut_centralizer_order': 320, 'aut_label': '120.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.b1.a1', '60.a1.a1'], 'contains': ['240.a1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1586, 9633, 8649, 7229, 3203, 7998, 3216, 3853], 'generators': [120], 'label': '240.38.120.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.b1.a1', '40.b1.a1', '60.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': '120.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.2', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980559
    {'ambient': '240.38', 'aut_centralizer_order': 320, 'aut_label': '120.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '40.b1.b1', '60.a1.a1'], 'contains': ['240.a1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1586, 9633, 7548, 8541, 3203, 7998, 2113, 2589], 'generators': [124], 'label': '240.38.120.b1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '120.b1.b1', 'normal_contained_in': ['24.b1.b1', '40.b1.b1', '60.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.b1', 'projective_image': '120.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.2', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980560
    {'ambient': '240.38', 'aut_centralizer_order': None, 'aut_label': '240.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.b1.a1', '120.b1.b1'], 'contains': [], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1233, 8352, 8191, 8045, 2877, 6795, 2665, 3221], 'generators': [], 'label': '240.38.240.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '80.a1.a1', '120.b1.a1', '120.b1.b1', '120.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': '240.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20980561
    {'ambient': '240.38', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 2, 'centralizer': '10.a1.a1', 'complements': ['80.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '15.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7762, 1251, 1939, 1182, 7287, 2604, 8844, 9347], 'generators': [1, 2, 4, 120, 48], 'label': '240.38.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '30.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 20980562
    {'ambient': '240.38', 'aut_centralizer_order': 40, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 40, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.a1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2927, 6773, 6843, 7558, 1906, 6929, 1784, 2554], 'generators': [4, 160, 48, 120], 'label': '240.38.4.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.b1.b1', '8.a1.a1', '12.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '20.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980563
    {'ambient': '240.38', 'aut_centralizer_order': 40, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 40, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '12.b1.a1', '20.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6414, 2264, 4073, 3284, 3847, 1317, 4678, 6362], 'generators': [2, 48, 4, 160], 'label': '240.38.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.a1.a1', '12.b1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980564
    {'ambient': '240.38', 'aut_centralizer_order': 40, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 40, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.c1.a1', '20.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4284, 4717, 5730, 5256, 3049, 5622, 2749, 4151], 'generators': [126, 48, 4, 160], 'label': '240.38.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '20.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20980565
    {'ambient': '240.38', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '32.46', 'aut_weyl_index': 20, 'centralizer': '5.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '15.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9732, -1, 449, -1, 8783, -1, 6302, -1], 'generators': [1, 4, 120, 160, 2], 'label': '240.38.5.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '10.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}