Abstract group data - 238.1

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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': True, 'abelian': False, 'abelian_quotient': '34.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 336, 'aut_gen_orders': [6, 112], 'aut_gens': [[1, 2], [1, 104], [137, 184]], 'aut_group': '672.7', 'aut_hash': 7, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 672, 'aut_permdeg': 23, 'aut_perms': [255820001847201792000, 2462103591737496140313], 'aut_phi_ratio': 7.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 7, 1, 1], [7, 2, 3, 1], [17, 1, 16, 1], [34, 7, 16, 1], [119, 2, 48, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{16}\\times F_7', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 16, 'autcent_group': '16.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_{16}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '42.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 42, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_7', 'cc_stats': [[1, 1, 1], [2, 7, 1], [7, 2, 3], [17, 1, 16], [34, 7, 16], [119, 2, 48]], 'center_label': '17.1', 'center_order': 17, 'central_product': True, 'central_quotient': '14.1', 'commutator_count': 1, 'commutator_label': '7.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '7.1', '17.1'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['14.1', 1], ['17.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 7, 1, 1], [7, 2, 3, 1], [17, 1, 16, 1], [34, 7, 16, 1], [119, 2, 48, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 54, 'exponent': 238, 'exponents_of_order': [1, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 7, 17], 'faithful_reps': [[2, 0, 48]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '238.1', 'hash': 1, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 14, 'inner_gen_orders': [2, 7], 'inner_gens': [[1, 138], [103, 2]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 14, 'inner_split': True, 'inner_tex': 'D_7', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 96, 'irrQ_dim': 96, 'irrR_degree': 4, 'irrep_stats': [[1, 34], [2, 51]], 'label': '238.1', 'linC_count': 48, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 22, 'linQ_degree_count': 2, 'linQ_dim': 22, 'linQ_dim_count': 2, 'linR_count': 72, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'D7*C17', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 6, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 85, 'number_divisions': 6, 'number_normal_subgroups': 6, 'number_subgroup_autclasses': 8, 'number_subgroup_classes': 8, 'number_subgroups': 20, 'old_label': None, 'order': 238, 'order_factorization_type': 11, 'order_stats': [[1, 1], [2, 7], [7, 6], [17, 16], [34, 112], [119, 96]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 48, 'outer_gen_orders': [48], 'outer_gen_pows': [0], 'outer_gens': [[1, 150]], 'outer_group': '48.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 48, 'outer_permdeg': 19, 'outer_perms': [6780385526348307], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{48}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2, 17], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [6, 1], [16, 2], [96, 1]], 'representations': {'PC': {'code': 2932498527, 'gens': [1, 2], 'pres': [3, -2, -7, -17, 829, 46]}, 'GLFp': {'d': 2, 'p': 239, 'gens': [57360, 136519214, 2907858840]}, 'Perm': {'d': 24, 'gens': [127, 27029669736328405574400, 973]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [34], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_7\\times C_{17}', 'transitive_degree': 119, '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: 109354854
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 238, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 109354865
    {'aut_label': '2A', 'centralizer': '7.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 238, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 1, 'size': 7}
  • id: 109354876
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 238, 'label': '7A1', 'order': 7, 'powers': [4, 5, 1, 5], 'representative': 34, 'size': 2}
  • id: 109354887
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 238, 'label': '7A2', 'order': 7, 'powers': [5, 3, 1, 3], 'representative': 68, 'size': 2}
  • id: 109354898
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 238, 'label': '7A3', 'order': 7, 'powers': [3, 4, 1, 4], 'representative': 102, 'size': 2}
  • id: 109354909
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 238, 'label': '17A1', 'order': 17, 'powers': [8, 10, 18, 1], 'representative': 28, 'size': 1}
  • id: 109354920
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 238, 'label': '17A-1', 'order': 17, 'powers': [9, 11, 19, 1], 'representative': 210, 'size': 1}
  • id: 109354931
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 238, 'label': '17A2', 'order': 17, 'powers': [12, 16, 11, 1], 'representative': 56, 'size': 1}
  • id: 109354938
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 238, 'label': '17A-2', 'order': 17, 'powers': [13, 17, 10, 1], 'representative': 182, 'size': 1}
  • id: 109354855
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 238, 'label': '17A3', 'order': 17, 'powers': [16, 21, 12, 1], 'representative': 84, 'size': 1}
  • id: 109354856
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 238, 'label': '17A-3', 'order': 17, 'powers': [17, 20, 13, 1], 'representative': 154, 'size': 1}
  • id: 109354857
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 238, 'label': '17A4', 'order': 17, 'powers': [20, 15, 17, 1], 'representative': 112, 'size': 1}
  • id: 109354858
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 238, 'label': '17A-4', 'order': 17, 'powers': [21, 14, 16, 1], 'representative': 126, 'size': 1}
  • id: 109354859
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 238, 'label': '17A5', 'order': 17, 'powers': [19, 9, 6, 1], 'representative': 140, 'size': 1}
  • id: 109354860
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 238, 'label': '17A-5', 'order': 17, 'powers': [18, 8, 7, 1], 'representative': 98, 'size': 1}
  • id: 109354861
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 238, 'label': '17A6', 'order': 17, 'powers': [15, 6, 20, 1], 'representative': 168, 'size': 1}
  • id: 109354862
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 238, 'label': '17A-6', 'order': 17, 'powers': [14, 7, 21, 1], 'representative': 70, 'size': 1}
  • id: 109354863
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 238, 'label': '17A7', 'order': 17, 'powers': [11, 12, 9, 1], 'representative': 196, 'size': 1}
  • id: 109354864
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 238, 'label': '17A-7', 'order': 17, 'powers': [10, 13, 8, 1], 'representative': 42, 'size': 1}
  • id: 109354866
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 238, 'label': '17A8', 'order': 17, 'powers': [7, 18, 14, 1], 'representative': 224, 'size': 1}
  • id: 109354867
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 238, 'label': '17A-8', 'order': 17, 'powers': [6, 19, 15, 1], 'representative': 14, 'size': 1}
  • id: 109354868
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 238, 'label': '34A1', 'order': 34, 'powers': [6, 24, 28, 2], 'representative': 15, 'size': 7}
  • id: 109354869
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 238, 'label': '34A-1', 'order': 34, 'powers': [7, 25, 29, 2], 'representative': 225, 'size': 7}
  • id: 109354870
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 238, 'label': '34A3', 'order': 34, 'powers': [10, 30, 35, 2], 'representative': 43, 'size': 7}
  • id: 109354871
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 238, 'label': '34A-3', 'order': 34, 'powers': [11, 31, 34, 2], 'representative': 197, 'size': 7}
  • id: 109354872
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 238, 'label': '34A5', 'order': 34, 'powers': [14, 36, 22, 2], 'representative': 3, 'size': 7}
  • id: 109354873
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 238, 'label': '34A-5', 'order': 34, 'powers': [15, 37, 23, 2], 'representative': 169, 'size': 7}
  • id: 109354874
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 238, 'label': '34A7', 'order': 34, 'powers': [18, 35, 36, 2], 'representative': 99, 'size': 7}
  • id: 109354875
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 238, 'label': '34A-7', 'order': 34, 'powers': [19, 34, 37, 2], 'representative': 5, 'size': 7}
  • id: 109354877
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 238, 'label': '34A9', 'order': 34, 'powers': [21, 29, 27, 2], 'representative': 127, 'size': 7}
  • id: 109354878
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 238, 'label': '34A-9', 'order': 34, 'powers': [20, 28, 26, 2], 'representative': 11, 'size': 7}
  • id: 109354879
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 238, 'label': '34A11', 'order': 34, 'powers': [17, 23, 30, 2], 'representative': 155, 'size': 7}
  • id: 109354880
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 238, 'label': '34A-11', 'order': 34, 'powers': [16, 22, 31, 2], 'representative': 85, 'size': 7}
  • id: 109354881
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 238, 'label': '34A13', 'order': 34, 'powers': [13, 26, 33, 2], 'representative': 13, 'size': 7}
  • id: 109354882
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 238, 'label': '34A-13', 'order': 34, 'powers': [12, 27, 32, 2], 'representative': 57, 'size': 7}
  • id: 109354883
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 238, 'label': '34A15', 'order': 34, 'powers': [9, 32, 24, 2], 'representative': 7, 'size': 7}
  • id: 109354884
    {'aut_label': '34A1', 'centralizer': '7.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 238, 'label': '34A-15', 'order': 34, 'powers': [8, 33, 25, 2], 'representative': 29, 'size': 7}
  • id: 109354885
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 238, 'label': '119A1', 'order': 119, 'powers': [40, 42, 21, 3], 'representative': 2, 'size': 2}
  • id: 109354886
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 238, 'label': '119A-1', 'order': 119, 'powers': [41, 43, 20, 3], 'representative': 100, 'size': 2}
  • id: 109354888
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 238, 'label': '119A2', 'order': 119, 'powers': [44, 48, 6, 4], 'representative': 4, 'size': 2}
  • id: 109354889
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 238, 'label': '119A-2', 'order': 119, 'powers': [45, 49, 7, 4], 'representative': 200, 'size': 2}
  • id: 109354890
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 238, 'label': '119A3', 'order': 119, 'powers': [48, 52, 19, 5], 'representative': 6, 'size': 2}
  • id: 109354891
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 238, 'label': '119A-3', 'order': 119, 'powers': [49, 53, 18, 5], 'representative': 62, 'size': 2}
  • id: 109354892
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 238, 'label': '119A4', 'order': 119, 'powers': [50, 47, 8, 5], 'representative': 8, 'size': 2}
  • id: 109354893
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 238, 'label': '119A-4', 'order': 119, 'powers': [51, 46, 9, 5], 'representative': 162, 'size': 2}
  • id: 109354894
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 238, 'label': '119A5', 'order': 119, 'powers': [54, 60, 17, 4], 'representative': 10, 'size': 2}
  • id: 109354895
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 238, 'label': '119A-5', 'order': 119, 'powers': [55, 61, 16, 4], 'representative': 24, 'size': 2}
  • id: 109354896
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 238, 'label': '119A6', 'order': 119, 'powers': [47, 64, 10, 3], 'representative': 12, 'size': 2}
  • id: 109354897
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 238, 'label': '119A-6', 'order': 119, 'powers': [46, 65, 11, 3], 'representative': 124, 'size': 2}
  • id: 109354899
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 238, 'label': '119A8', 'order': 119, 'powers': [62, 55, 12, 3], 'representative': 16, 'size': 2}
  • id: 109354900
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 238, 'label': '119A-8', 'order': 119, 'powers': [63, 54, 13, 3], 'representative': 86, 'size': 2}
  • id: 109354901
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 238, 'label': '119A9', 'order': 119, 'powers': [64, 74, 13, 4], 'representative': 18, 'size': 2}
  • id: 109354902
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 238, 'label': '119A-9', 'order': 119, 'powers': [65, 75, 12, 4], 'representative': 186, 'size': 2}
  • id: 109354903
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 238, 'label': '119A10', 'order': 119, 'powers': [66, 76, 14, 5], 'representative': 20, 'size': 2}
  • id: 109354904
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 238, 'label': '119A-10', 'order': 119, 'powers': [67, 77, 15, 5], 'representative': 48, 'size': 2}
  • id: 109354905
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 238, 'label': '119A11', 'order': 119, 'powers': [68, 62, 11, 5], 'representative': 22, 'size': 2}
  • id: 109354906
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 238, 'label': '119A-11', 'order': 119, 'powers': [69, 63, 10, 5], 'representative': 148, 'size': 2}
  • id: 109354907
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 238, 'label': '119A13', 'order': 119, 'powers': [52, 82, 9, 3], 'representative': 26, 'size': 2}
  • id: 109354908
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 238, 'label': '119A-13', 'order': 119, 'powers': [53, 83, 8, 3], 'representative': 110, 'size': 2}
  • id: 109354910
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 238, 'label': '119A15', 'order': 119, 'powers': [76, 56, 7, 3], 'representative': 30, 'size': 2}
  • id: 109354911
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 238, 'label': '119A-15', 'order': 119, 'powers': [77, 57, 6, 3], 'representative': 72, 'size': 2}
  • id: 109354912
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 238, 'label': '119A16', 'order': 119, 'powers': [78, 67, 20, 4], 'representative': 32, 'size': 2}
  • id: 109354913
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 238, 'label': '119A-16', 'order': 119, 'powers': [79, 66, 21, 4], 'representative': 172, 'size': 2}
  • id: 109354914
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 238, 'label': '119A18', 'order': 119, 'powers': [61, 80, 21, 5], 'representative': 36, 'size': 2}
  • id: 109354915
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 238, 'label': '119A-18', 'order': 119, 'powers': [60, 81, 20, 5], 'representative': 134, 'size': 2}
  • id: 109354916
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 1, 'group_order': 238, 'label': '119A20', 'order': 119, 'powers': [70, 73, 19, 3], 'representative': 40, 'size': 2}
  • id: 109354917
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 1, 'group_order': 238, 'label': '119A-20', 'order': 119, 'powers': [71, 72, 18, 3], 'representative': 96, 'size': 2}
  • id: 109354918
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 1, 'group_order': 238, 'label': '119A22', 'order': 119, 'powers': [84, 78, 17, 3], 'representative': 44, 'size': 2}
  • id: 109354919
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 1, 'group_order': 238, 'label': '119A-22', 'order': 119, 'powers': [85, 79, 16, 3], 'representative': 58, 'size': 2}
  • id: 109354921
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 1, 'group_order': 238, 'label': '119A23', 'order': 119, 'powers': [83, 38, 10, 4], 'representative': 46, 'size': 2}
  • id: 109354922
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 1, 'group_order': 238, 'label': '119A-23', 'order': 119, 'powers': [82, 39, 11, 4], 'representative': 158, 'size': 2}
  • id: 109354923
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 1, 'group_order': 238, 'label': '119A25', 'order': 119, 'powers': [39, 85, 12, 5], 'representative': 50, 'size': 2}
  • id: 109354924
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 1, 'group_order': 238, 'label': '119A-25', 'order': 119, 'powers': [38, 84, 13, 5], 'representative': 120, 'size': 2}
  • id: 109354925
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 1, 'group_order': 238, 'label': '119A27', 'order': 119, 'powers': [80, 45, 14, 3], 'representative': 54, 'size': 2}
  • id: 109354926
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 1, 'group_order': 238, 'label': '119A-27', 'order': 119, 'powers': [81, 44, 15, 3], 'representative': 82, 'size': 2}
  • id: 109354927
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 1, 'group_order': 238, 'label': '119A30', 'order': 119, 'powers': [73, 68, 9, 4], 'representative': 60, 'size': 2}
  • id: 109354928
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 1, 'group_order': 238, 'label': '119A-30', 'order': 119, 'powers': [72, 69, 8, 4], 'representative': 144, 'size': 2}
  • id: 109354929
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 1, 'group_order': 238, 'label': '119A32', 'order': 119, 'powers': [58, 71, 7, 5], 'representative': 64, 'size': 2}
  • id: 109354930
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 1, 'group_order': 238, 'label': '119A-32', 'order': 119, 'powers': [59, 70, 6, 5], 'representative': 106, 'size': 2}
  • id: 109354932
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 1, 'group_order': 238, 'label': '119A37', 'order': 119, 'powers': [57, 51, 19, 4], 'representative': 74, 'size': 2}
  • id: 109354933
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 1, 'group_order': 238, 'label': '119A-37', 'order': 119, 'powers': [56, 50, 18, 4], 'representative': 130, 'size': 2}
  • id: 109354934
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 1, 'group_order': 238, 'label': '119A39', 'order': 119, 'powers': [74, 41, 17, 5], 'representative': 78, 'size': 2}
  • id: 109354935
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 1, 'group_order': 238, 'label': '119A-39', 'order': 119, 'powers': [75, 40, 16, 5], 'representative': 92, 'size': 2}
  • id: 109354936
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 1, 'group_order': 238, 'label': '119A44', 'order': 119, 'powers': [42, 58, 14, 4], 'representative': 88, 'size': 2}
  • id: 109354937
    {'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 1, 'group_order': 238, 'label': '119A-44', 'order': 119, 'powers': [43, 59, 15, 4], 'representative': 116, '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: 4237602
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '238.1', 'group_order': 238, 'image': None, 'label': '238.1.1a', '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], 'schur_index': 1}
  • id: 4237603
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '238.1', 'group_order': 238, 'image': None, 'label': '238.1.1b', '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], 'schur_index': 1}
  • id: 4237606
    {'cdim': 2, 'counter': 5, 'faithful': False, 'group': '238.1', 'group_order': 238, 'image': None, 'label': '238.1.2a', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 0, -1, -1, -1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4237604
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '238.1', 'group_order': 238, 'image': None, 'label': '238.1.1c', 'multiplicity': 16, 'nt': [17, 1], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4237605
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '238.1', 'group_order': 238, 'image': None, 'label': '238.1.1d', 'multiplicity': 16, 'nt': [34, 1], 'qdim': 16, 'qvalues': [16, -16, 16, 16, 16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4237607
    {'cdim': 2, 'counter': 6, 'faithful': True, 'group': '238.1', 'group_order': 238, 'image': None, 'label': '238.1.2b', 'multiplicity': 48, 'nt': [119, 0], 'qdim': 96, 'qvalues': [96, 0, -16, -16, -16, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], '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: 6262551
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 238, 'label': '238.1.1a', '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]]]}
  • id: 6262562
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 119, 'label': '238.1.1b', '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]]]}
  • id: 6262573
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 3, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c1', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -8]], [[1, -2]], [[1, -5]], [[1, 7]], [[1, 3]], [[1, -1]], [[1, -6]], [[1, 8]], [[1, 2]], [[1, 5]], [[1, -7]], [[1, -3]], [[1, 1]], [[1, 6]], [[1, 4]], [[1, -4]], [[1, -8]], [[1, -4]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -2]], [[1, 2]], [[1, 7]], [[1, -7]], [[1, -1]], [[1, 1]], [[1, 8]], [[1, 4]], [[1, -2]], [[1, 8]], [[1, -8]], [[1, 7]], [[1, 2]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -6]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -7]], [[1, 6]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, -8]], [[1, -8]], [[1, -6]], [[1, 7]], [[1, -3]], [[1, 1]], [[1, -6]], [[1, -4]], [[1, 3]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 2]], [[1, 6]], [[1, -2]], [[1, -5]], [[1, -7]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 6]], [[1, 8]], [[1, 8]], [[1, 2]]]}
  • id: 6262554
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 12, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c10', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 1]], [[1, -6]], [[1, 5]], [[1, 7]], [[1, -8]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 6]], [[1, -5]], [[1, -7]], [[1, 8]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 6]], [[1, -6]], [[1, -7]], [[1, 7]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, -5]], [[1, -8]], [[1, 8]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, 7]], [[1, 6]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 8]], [[1, -7]], [[1, -5]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 5]], [[1, -7]], [[1, 8]], [[1, 3]], [[1, 2]], [[1, 7]], [[1, 5]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, -6]], [[1, -5]], [[1, 8]], [[1, 7]], [[1, -8]], [[1, -8]], [[1, -6]], [[1, -8]], [[1, -7]], [[1, -3]], [[1, -4]], [[1, -4]], [[1, -1]]]}
  • id: 6262555
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 13, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c11', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, -8]], [[1, -1]], [[1, 6]], [[1, 2]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, 8]], [[1, 1]], [[1, -6]], [[1, -2]], [[1, -7]], [[1, 7]], [[1, -3]], [[1, 7]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, -8]], [[1, 8]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -7]], [[1, -5]], [[1, 3]], [[1, -3]], [[1, -8]], [[1, 5]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, -5]], [[1, -7]], [[1, -7]], [[1, -6]], [[1, 1]], [[1, 8]], [[1, -2]], [[1, 8]], [[1, 7]], [[1, 7]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -8]], [[1, 1]], [[1, -6]], [[1, 2]], [[1, 7]], [[1, -1]], [[1, -8]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 8]], [[1, -6]], [[1, -1]], [[1, 6]], [[1, 6]], [[1, -4]], [[1, 6]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, 5]]]}
  • id: 6262556
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 14, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c12', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, 8]], [[1, 1]], [[1, -6]], [[1, -2]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, -8]], [[1, -1]], [[1, 6]], [[1, 2]], [[1, 7]], [[1, -7]], [[1, 3]], [[1, -7]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, 8]], [[1, -8]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 7]], [[1, 5]], [[1, -3]], [[1, 3]], [[1, 8]], [[1, -5]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 6]], [[1, -1]], [[1, -8]], [[1, 2]], [[1, -8]], [[1, -7]], [[1, -7]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 8]], [[1, -1]], [[1, 6]], [[1, -2]], [[1, -7]], [[1, 1]], [[1, 8]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -8]], [[1, 6]], [[1, 1]], [[1, -6]], [[1, -6]], [[1, 4]], [[1, -6]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -5]]]}
  • id: 6262557
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 15, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c13', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 8]], [[1, 3]], [[1, 6]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, 2]], [[1, -8]], [[1, -3]], [[1, -6]], [[1, -5]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, -7]], [[1, 7]], [[1, 8]], [[1, -8]], [[1, 6]], [[1, -6]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 8]], [[1, 2]], [[1, -2]], [[1, 6]], [[1, -8]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 7]], [[1, 8]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, -6]], [[1, -7]], [[1, -6]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 7]], [[1, 6]], [[1, -5]], [[1, -4]], [[1, 7]], [[1, -1]], [[1, 5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -8]], [[1, -7]], [[1, 8]], [[1, 3]], [[1, -6]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, -7]], [[1, 2]], [[1, 2]], [[1, -8]]]}
  • id: 6262558
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 16, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c14', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -8]], [[1, -3]], [[1, -6]], [[1, -5]], [[1, -4]], [[1, -7]], [[1, -2]], [[1, 8]], [[1, 3]], [[1, 6]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, 7]], [[1, -7]], [[1, -8]], [[1, 8]], [[1, -6]], [[1, 6]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -8]], [[1, -2]], [[1, 2]], [[1, -6]], [[1, 8]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -7]], [[1, -8]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, 6]], [[1, 7]], [[1, 6]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -7]], [[1, -6]], [[1, 5]], [[1, 4]], [[1, -7]], [[1, 1]], [[1, -5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 8]], [[1, 7]], [[1, -8]], [[1, -3]], [[1, 6]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, -4]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, 7]], [[1, -2]], [[1, -2]], [[1, 8]]]}
  • id: 6262559
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 17, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c15', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, 3]], [[1, -6]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, -3]], [[1, 6]], [[1, -2]], [[1, 5]], [[1, -8]], [[1, 8]], [[1, -1]], [[1, 8]], [[1, 7]], [[1, -7]], [[1, 6]], [[1, -6]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -8]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -4]], [[1, -6]], [[1, 7]], [[1, -8]], [[1, -5]], [[1, 4]], [[1, -8]], [[1, -8]], [[1, -2]], [[1, 6]], [[1, -3]], [[1, 5]], [[1, -3]], [[1, 8]], [[1, 8]], [[1, -1]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 6]], [[1, -2]], [[1, -5]], [[1, 8]], [[1, -6]], [[1, 3]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, -7]], [[1, -3]], [[1, -2]], [[1, -6]], [[1, 2]], [[1, 2]], [[1, -7]], [[1, 2]], [[1, 6]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, -4]]]}
  • id: 6262560
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 18, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c16', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, -3]], [[1, 6]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, 3]], [[1, -6]], [[1, 2]], [[1, -5]], [[1, 8]], [[1, -8]], [[1, 1]], [[1, -8]], [[1, -7]], [[1, 7]], [[1, -6]], [[1, 6]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 8]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 4]], [[1, 6]], [[1, -7]], [[1, 8]], [[1, 5]], [[1, -4]], [[1, 8]], [[1, 8]], [[1, 2]], [[1, -6]], [[1, 3]], [[1, -5]], [[1, 3]], [[1, -8]], [[1, -8]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -6]], [[1, 2]], [[1, 5]], [[1, -8]], [[1, 6]], [[1, -3]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, 7]], [[1, 3]], [[1, 2]], [[1, 6]], [[1, -2]], [[1, -2]], [[1, 7]], [[1, -2]], [[1, -6]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, 4]]]}
  • id: 6262584
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 4, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c2', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 2]], [[1, 5]], [[1, -7]], [[1, -3]], [[1, 1]], [[1, 6]], [[1, -8]], [[1, -2]], [[1, -5]], [[1, 7]], [[1, 3]], [[1, -1]], [[1, -6]], [[1, -4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 2]], [[1, -2]], [[1, -7]], [[1, 7]], [[1, 1]], [[1, -1]], [[1, -8]], [[1, -4]], [[1, 2]], [[1, -8]], [[1, 8]], [[1, -7]], [[1, -2]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 6]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 7]], [[1, -6]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 6]], [[1, -7]], [[1, 3]], [[1, -1]], [[1, 6]], [[1, 4]], [[1, -3]], [[1, -7]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, -6]], [[1, 2]], [[1, 5]], [[1, 7]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -6]], [[1, -8]], [[1, -8]], [[1, -2]]]}
  • id: 6262595
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 5, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c3', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -7]], [[1, -6]], [[1, 2]], [[1, 4]], [[1, -8]], [[1, -3]], [[1, -1]], [[1, 7]], [[1, 6]], [[1, -2]], [[1, -4]], [[1, 8]], [[1, 3]], [[1, 1]], [[1, -5]], [[1, 5]], [[1, -7]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, 8]], [[1, -8]], [[1, 1]], [[1, -1]], [[1, -6]], [[1, 6]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 7]], [[1, -5]], [[1, -6]], [[1, 7]], [[1, -7]], [[1, 4]], [[1, 6]], [[1, -8]], [[1, -2]], [[1, -5]], [[1, -1]], [[1, -6]], [[1, -5]], [[1, -5]], [[1, 3]], [[1, 8]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, -7]], [[1, -1]], [[1, 4]], [[1, 8]], [[1, 3]], [[1, -1]], [[1, 5]], [[1, -8]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 6]], [[1, 1]], [[1, -6]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, -8]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 8]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 6]]]}
  • id: 6262606
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 6, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c4', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 7]], [[1, 6]], [[1, -2]], [[1, -4]], [[1, 8]], [[1, 3]], [[1, 1]], [[1, -7]], [[1, -6]], [[1, 2]], [[1, 4]], [[1, -8]], [[1, -3]], [[1, -1]], [[1, 5]], [[1, -5]], [[1, 7]], [[1, -5]], [[1, 2]], [[1, -2]], [[1, -8]], [[1, 8]], [[1, -1]], [[1, 1]], [[1, 6]], [[1, -6]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -7]], [[1, 5]], [[1, 6]], [[1, -7]], [[1, 7]], [[1, -4]], [[1, -6]], [[1, 8]], [[1, 2]], [[1, 5]], [[1, 1]], [[1, 6]], [[1, 5]], [[1, 5]], [[1, -3]], [[1, -8]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, 7]], [[1, 1]], [[1, -4]], [[1, -8]], [[1, -3]], [[1, 1]], [[1, -5]], [[1, 8]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -6]], [[1, -1]], [[1, 6]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, 8]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -8]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, -6]]]}
  • id: 6262617
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 7, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c5', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 7]], [[1, -8]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, 4]], [[1, 6]], [[1, -7]], [[1, 8]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 8]], [[1, -8]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 7]], [[1, -7]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, 6]], [[1, 3]], [[1, 7]], [[1, 6]], [[1, -6]], [[1, 1]], [[1, -7]], [[1, -2]], [[1, 8]], [[1, 3]], [[1, 4]], [[1, 7]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 8]], [[1, 8]], [[1, -8]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, -8]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, -5]], [[1, -8]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 6]], [[1, 6]], [[1, -7]]]}
  • id: 6262628
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 8, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c6', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -7]], [[1, 8]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, -4]], [[1, -6]], [[1, 7]], [[1, -8]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -8]], [[1, 8]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -7]], [[1, 7]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, -6]], [[1, -3]], [[1, -7]], [[1, -6]], [[1, 6]], [[1, -1]], [[1, 7]], [[1, 2]], [[1, -8]], [[1, -3]], [[1, -4]], [[1, -7]], [[1, -3]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -8]], [[1, -8]], [[1, 8]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, 8]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, 5]], [[1, 8]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -6]], [[1, -6]], [[1, 7]]]}
  • id: 6262635
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 9, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c7', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, -8]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, 8]], [[1, -6]], [[1, 6]], [[1, -5]], [[1, 6]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 8]], [[1, -8]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, -7]], [[1, 7]], [[1, 5]], [[1, -6]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -6]], [[1, -8]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, 8]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, -5]], [[1, -5]], [[1, -8]], [[1, -2]], [[1, -4]], [[1, 7]], [[1, -8]], [[1, 6]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, 8]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -7]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, 8]], [[1, 5]], [[1, 5]], [[1, -3]]]}
  • id: 6262552
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 10, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c8', 'nt': [17, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, 8]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, -8]], [[1, 6]], [[1, -6]], [[1, 5]], [[1, -6]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -8]], [[1, 8]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 7]], [[1, -7]], [[1, -5]], [[1, 6]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 6]], [[1, 8]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, -8]], [[1, -2]], [[1, -6]], [[1, -6]], [[1, 5]], [[1, 5]], [[1, 8]], [[1, 2]], [[1, 4]], [[1, -7]], [[1, 8]], [[1, -6]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, -8]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, -8]], [[1, -5]], [[1, -5]], [[1, 3]]]}
  • id: 6262553
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 11, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 14, 'label': '238.1.1c9', 'nt': [17, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -4]], [[1, -1]], [[1, 6]], [[1, -5]], [[1, -7]], [[1, 8]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -6]], [[1, 5]], [[1, 7]], [[1, -8]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, -6]], [[1, 6]], [[1, 7]], [[1, -7]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, 5]], [[1, 8]], [[1, -8]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, -7]], [[1, -6]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -8]], [[1, 7]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -3]], [[1, -5]], [[1, 7]], [[1, -8]], [[1, -3]], [[1, -2]], [[1, -7]], [[1, -5]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, 6]], [[1, 5]], [[1, -8]], [[1, -7]], [[1, 8]], [[1, 8]], [[1, 6]], [[1, 8]], [[1, 7]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, 1]]]}
  • id: 6262561
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 19, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d1', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -8]], [[1, -2]], [[1, -5]], [[1, 7]], [[1, 3]], [[1, -1]], [[1, -6]], [[1, 8]], [[1, 2]], [[1, 5]], [[1, -7]], [[1, -3]], [[1, 1]], [[1, 6]], [[1, 4]], [[1, -4]], [[-1, -8]], [[-1, -4]], [[-1, 5]], [[-1, -5]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -2]], [[-1, 2]], [[-1, 7]], [[-1, -7]], [[-1, -1]], [[-1, 1]], [[-1, 8]], [[-1, 4]], [[1, -2]], [[1, 8]], [[1, -8]], [[1, 7]], [[1, 2]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -6]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -7]], [[1, 6]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, -8]], [[1, -8]], [[1, -6]], [[1, 7]], [[1, -3]], [[1, 1]], [[1, -6]], [[1, -4]], [[1, 3]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 2]], [[1, 6]], [[1, -2]], [[1, -5]], [[1, -7]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 6]], [[1, 8]], [[1, 8]], [[1, 2]]]}
  • id: 6262571
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 28, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d10', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 1]], [[1, -6]], [[1, 5]], [[1, 7]], [[1, -8]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 6]], [[1, -5]], [[1, -7]], [[1, 8]], [[1, -3]], [[1, -2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 6]], [[-1, -6]], [[-1, -7]], [[-1, 7]], [[-1, -3]], [[-1, 3]], [[-1, 1]], [[-1, -1]], [[-1, 5]], [[-1, -5]], [[-1, -8]], [[-1, 8]], [[-1, -4]], [[-1, -2]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, 7]], [[1, 6]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 8]], [[1, -7]], [[1, -5]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 5]], [[1, -7]], [[1, 8]], [[1, 3]], [[1, 2]], [[1, 7]], [[1, 5]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, -6]], [[1, -5]], [[1, 8]], [[1, 7]], [[1, -8]], [[1, -8]], [[1, -6]], [[1, -8]], [[1, -7]], [[1, -3]], [[1, -4]], [[1, -4]], [[1, -1]]]}
  • id: 6262572
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 29, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d11', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, -8]], [[1, -1]], [[1, 6]], [[1, 2]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, 8]], [[1, 1]], [[1, -6]], [[1, -2]], [[1, -7]], [[1, 7]], [[-1, -3]], [[-1, 7]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, -8]], [[-1, 8]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -7]], [[1, -5]], [[1, 3]], [[1, -3]], [[1, -8]], [[1, 5]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, -5]], [[1, -7]], [[1, -7]], [[1, -6]], [[1, 1]], [[1, 8]], [[1, -2]], [[1, 8]], [[1, 7]], [[1, 7]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -8]], [[1, 1]], [[1, -6]], [[1, 2]], [[1, 7]], [[1, -1]], [[1, -8]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 8]], [[1, -6]], [[1, -1]], [[1, 6]], [[1, 6]], [[1, -4]], [[1, 6]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, 5]]]}
  • id: 6262574
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 30, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d12', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, 8]], [[1, 1]], [[1, -6]], [[1, -2]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, -8]], [[1, -1]], [[1, 6]], [[1, 2]], [[1, 7]], [[1, -7]], [[-1, 3]], [[-1, -7]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, 8]], [[-1, -8]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 7]], [[1, 5]], [[1, -3]], [[1, 3]], [[1, 8]], [[1, -5]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 6]], [[1, -1]], [[1, -8]], [[1, 2]], [[1, -8]], [[1, -7]], [[1, -7]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 8]], [[1, -1]], [[1, 6]], [[1, -2]], [[1, -7]], [[1, 1]], [[1, 8]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -8]], [[1, 6]], [[1, 1]], [[1, -6]], [[1, -6]], [[1, 4]], [[1, -6]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -5]]]}
  • id: 6262575
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 31, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d13', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 8]], [[1, 3]], [[1, 6]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, 2]], [[1, -8]], [[1, -3]], [[1, -6]], [[1, -5]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -5]], [[-1, 5]], [[-1, -7]], [[-1, 7]], [[-1, 8]], [[-1, -8]], [[-1, 6]], [[-1, -6]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[1, 8]], [[1, 2]], [[1, -2]], [[1, 6]], [[1, -8]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 7]], [[1, 8]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, -6]], [[1, -7]], [[1, -6]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 7]], [[1, 6]], [[1, -5]], [[1, -4]], [[1, 7]], [[1, -1]], [[1, 5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -8]], [[1, -7]], [[1, 8]], [[1, 3]], [[1, -6]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, -7]], [[1, 2]], [[1, 2]], [[1, -8]]]}
  • id: 6262576
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 32, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d14', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -8]], [[1, -3]], [[1, -6]], [[1, -5]], [[1, -4]], [[1, -7]], [[1, -2]], [[1, 8]], [[1, 3]], [[1, 6]], [[1, 5]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 5]], [[-1, -5]], [[-1, 7]], [[-1, -7]], [[-1, -8]], [[-1, 8]], [[-1, -6]], [[-1, 6]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[1, -8]], [[1, -2]], [[1, 2]], [[1, -6]], [[1, 8]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -7]], [[1, -8]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, 6]], [[1, 7]], [[1, 6]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -7]], [[1, -6]], [[1, 5]], [[1, 4]], [[1, -7]], [[1, 1]], [[1, -5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 8]], [[1, 7]], [[1, -8]], [[1, -3]], [[1, 6]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, -4]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, 7]], [[1, -2]], [[1, -2]], [[1, 8]]]}
  • id: 6262577
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 33, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d15', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, 3]], [[1, -6]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, -3]], [[1, 6]], [[1, -2]], [[1, 5]], [[1, -8]], [[1, 8]], [[-1, -1]], [[-1, 8]], [[-1, 7]], [[-1, -7]], [[-1, 6]], [[-1, -6]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[-1, -4]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -8]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -4]], [[1, -6]], [[1, 7]], [[1, -8]], [[1, -5]], [[1, 4]], [[1, -8]], [[1, -8]], [[1, -2]], [[1, 6]], [[1, -3]], [[1, 5]], [[1, -3]], [[1, 8]], [[1, 8]], [[1, -1]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 6]], [[1, -2]], [[1, -5]], [[1, 8]], [[1, -6]], [[1, 3]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, -7]], [[1, -3]], [[1, -2]], [[1, -6]], [[1, 2]], [[1, 2]], [[1, -7]], [[1, 2]], [[1, 6]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, -4]]]}
  • id: 6262578
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 34, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d16', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, -3]], [[1, 6]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, 3]], [[1, -6]], [[1, 2]], [[1, -5]], [[1, 8]], [[1, -8]], [[-1, 1]], [[-1, -8]], [[-1, -7]], [[-1, 7]], [[-1, -6]], [[-1, 6]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[-1, 4]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 8]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 4]], [[1, 6]], [[1, -7]], [[1, 8]], [[1, 5]], [[1, -4]], [[1, 8]], [[1, 8]], [[1, 2]], [[1, -6]], [[1, 3]], [[1, -5]], [[1, 3]], [[1, -8]], [[1, -8]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -6]], [[1, 2]], [[1, 5]], [[1, -8]], [[1, 6]], [[1, -3]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, 7]], [[1, 3]], [[1, 2]], [[1, 6]], [[1, -2]], [[1, -2]], [[1, 7]], [[1, -2]], [[1, -6]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, 4]]]}
  • id: 6262563
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 20, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d2', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 2]], [[1, 5]], [[1, -7]], [[1, -3]], [[1, 1]], [[1, 6]], [[1, -8]], [[1, -2]], [[1, -5]], [[1, 7]], [[1, 3]], [[1, -1]], [[1, -6]], [[1, -4]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, -5]], [[-1, 5]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 2]], [[-1, -2]], [[-1, -7]], [[-1, 7]], [[-1, 1]], [[-1, -1]], [[-1, -8]], [[-1, -4]], [[1, 2]], [[1, -8]], [[1, 8]], [[1, -7]], [[1, -2]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 6]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 7]], [[1, -6]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 6]], [[1, -7]], [[1, 3]], [[1, -1]], [[1, 6]], [[1, 4]], [[1, -3]], [[1, -7]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, -6]], [[1, 2]], [[1, 5]], [[1, 7]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -6]], [[1, -8]], [[1, -8]], [[1, -2]]]}
  • id: 6262564
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 21, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d3', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -7]], [[1, -6]], [[1, 2]], [[1, 4]], [[1, -8]], [[1, -3]], [[1, -1]], [[1, 7]], [[1, 6]], [[1, -2]], [[1, -4]], [[1, 8]], [[1, 3]], [[1, 1]], [[1, -5]], [[1, 5]], [[-1, -7]], [[-1, 5]], [[-1, -2]], [[-1, 2]], [[-1, 8]], [[-1, -8]], [[-1, 1]], [[-1, -1]], [[-1, -6]], [[-1, 6]], [[-1, 4]], [[-1, -4]], [[-1, -3]], [[-1, 3]], [[-1, 7]], [[-1, -5]], [[1, -6]], [[1, 7]], [[1, -7]], [[1, 4]], [[1, 6]], [[1, -8]], [[1, -2]], [[1, -5]], [[1, -1]], [[1, -6]], [[1, -5]], [[1, -5]], [[1, 3]], [[1, 8]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, -7]], [[1, -1]], [[1, 4]], [[1, 8]], [[1, 3]], [[1, -1]], [[1, 5]], [[1, -8]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 6]], [[1, 1]], [[1, -6]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, -8]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 8]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 6]]]}
  • id: 6262565
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 22, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d4', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 7]], [[1, 6]], [[1, -2]], [[1, -4]], [[1, 8]], [[1, 3]], [[1, 1]], [[1, -7]], [[1, -6]], [[1, 2]], [[1, 4]], [[1, -8]], [[1, -3]], [[1, -1]], [[1, 5]], [[1, -5]], [[-1, 7]], [[-1, -5]], [[-1, 2]], [[-1, -2]], [[-1, -8]], [[-1, 8]], [[-1, -1]], [[-1, 1]], [[-1, 6]], [[-1, -6]], [[-1, -4]], [[-1, 4]], [[-1, 3]], [[-1, -3]], [[-1, -7]], [[-1, 5]], [[1, 6]], [[1, -7]], [[1, 7]], [[1, -4]], [[1, -6]], [[1, 8]], [[1, 2]], [[1, 5]], [[1, 1]], [[1, 6]], [[1, 5]], [[1, 5]], [[1, -3]], [[1, -8]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, 7]], [[1, 1]], [[1, -4]], [[1, -8]], [[1, -3]], [[1, 1]], [[1, -5]], [[1, 8]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -6]], [[1, -1]], [[1, 6]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, 8]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -8]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, -6]]]}
  • id: 6262566
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 23, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d5', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 7]], [[1, -8]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, 4]], [[1, 6]], [[1, -7]], [[1, 8]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 8]], [[-1, -8]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, 7]], [[-1, -7]], [[-1, 1]], [[-1, -1]], [[-1, -5]], [[-1, 5]], [[-1, 6]], [[-1, 3]], [[1, 7]], [[1, 6]], [[1, -6]], [[1, 1]], [[1, -7]], [[1, -2]], [[1, 8]], [[1, 3]], [[1, 4]], [[1, 7]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 8]], [[1, 8]], [[1, -8]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, -8]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, -5]], [[1, -8]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 6]], [[1, 6]], [[1, -7]]]}
  • id: 6262567
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 24, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d6', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -7]], [[1, 8]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, -4]], [[1, -6]], [[1, 7]], [[1, -8]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -8]], [[-1, 8]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, -7]], [[-1, 7]], [[-1, -1]], [[-1, 1]], [[-1, 5]], [[-1, -5]], [[-1, -6]], [[-1, -3]], [[1, -7]], [[1, -6]], [[1, 6]], [[1, -1]], [[1, 7]], [[1, 2]], [[1, -8]], [[1, -3]], [[1, -4]], [[1, -7]], [[1, -3]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -8]], [[1, -8]], [[1, 8]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, 8]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, 5]], [[1, 8]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -6]], [[1, -6]], [[1, 7]]]}
  • id: 6262568
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 25, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d7', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, -8]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, 8]], [[1, -6]], [[1, 6]], [[-1, -5]], [[-1, 6]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 8]], [[-1, -8]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, -7]], [[-1, 7]], [[-1, 5]], [[-1, -6]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -6]], [[1, -8]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, 8]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, -5]], [[1, -5]], [[1, -8]], [[1, -2]], [[1, -4]], [[1, 7]], [[1, -8]], [[1, 6]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, 8]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -7]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, 8]], [[1, 5]], [[1, 5]], [[1, -3]]]}
  • id: 6262569
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 26, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d8', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, 8]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, -8]], [[1, 6]], [[1, -6]], [[-1, 5]], [[-1, -6]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -8]], [[-1, 8]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, 7]], [[-1, -7]], [[-1, -5]], [[-1, 6]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 6]], [[1, 8]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, -8]], [[1, -2]], [[1, -6]], [[1, -6]], [[1, 5]], [[1, 5]], [[1, 8]], [[1, 2]], [[1, 4]], [[1, -7]], [[1, 8]], [[1, -6]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, -8]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, -8]], [[1, -5]], [[1, -5]], [[1, 3]]]}
  • id: 6262570
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 238, 'counter': 27, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 7, 'label': '238.1.1d9', 'nt': [34, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -4]], [[1, -1]], [[1, 6]], [[1, -5]], [[1, -7]], [[1, 8]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -6]], [[1, 5]], [[1, 7]], [[1, -8]], [[1, 3]], [[1, 2]], [[1, -2]], [[-1, -4]], [[-1, -2]], [[-1, -6]], [[-1, 6]], [[-1, 7]], [[-1, -7]], [[-1, 3]], [[-1, -3]], [[-1, -1]], [[-1, 1]], [[-1, -5]], [[-1, 5]], [[-1, 8]], [[-1, -8]], [[-1, 4]], [[-1, 2]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, -7]], [[1, -6]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -8]], [[1, 7]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -3]], [[1, -5]], [[1, 7]], [[1, -8]], [[1, -3]], [[1, -2]], [[1, -7]], [[1, -5]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, 6]], [[1, 5]], [[1, -8]], [[1, -7]], [[1, 8]], [[1, 8]], [[1, 6]], [[1, 8]], [[1, 7]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, 1]]]}
  • id: 6262579
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 35, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 17, 'label': '238.1.2a1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 6262580
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  • id: 6262581
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 37, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 17, 'label': '238.1.2a3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 6262582
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 38, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b1', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[2, -56]], [[2, -14]], [[2, -35]], [[2, 49]], [[2, 21]], [[2, -7]], [[2, -42]], [[2, 56]], [[2, 14]], [[2, 35]], [[2, -49]], [[2, -21]], [[2, 7]], [[2, 42]], [[2, 28]], [[2, -28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262592
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 47, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b10', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[2, 28]], [[2, 7]], [[2, -42]], [[2, 35]], [[2, 49]], [[2, -56]], [[2, 21]], [[2, -28]], [[2, -7]], [[2, 42]], [[2, -35]], [[2, -49]], [[2, 56]], [[2, -21]], [[2, -14]], [[2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262593
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 48, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b11', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[2, -21]], [[2, -35]], [[2, -28]], [[2, -56]], [[2, -7]], [[2, 42]], [[2, 14]], [[2, 21]], [[2, 35]], [[2, 28]], [[2, 56]], [[2, 7]], [[2, -42]], [[2, -14]], [[2, -49]], [[2, 49]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262594
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 49, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b12', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[2, 21]], [[2, 35]], [[2, 28]], [[2, 56]], [[2, 7]], [[2, -42]], [[2, -14]], [[2, -21]], [[2, -35]], [[2, -28]], [[2, -56]], [[2, -7]], [[2, 42]], [[2, 14]], [[2, 49]], [[2, -49]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262596
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  • id: 6262597
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  • id: 6262598
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  • id: 6262599
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  • id: 6262600
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  • id: 6262601
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  • id: 6262602
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 56, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b19', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, -49]], [[2, -42]], [[2, 14]], [[2, 28]], [[2, -56]], [[2, -21]], [[2, -7]], [[2, 49]], [[2, 42]], [[2, -14]], [[2, -28]], [[2, 56]], [[2, 21]], [[2, 7]], [[2, -35]], [[2, 35]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262583
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  • id: 6262603
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 57, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b20', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, 49]], [[2, 42]], [[2, -14]], [[2, -28]], [[2, 56]], [[2, 21]], [[2, 7]], [[2, -49]], [[2, -42]], [[2, 14]], [[2, 28]], [[2, -56]], [[2, -21]], [[2, -7]], [[2, 35]], [[2, -35]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262604
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 58, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b21', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, -42]], [[2, 49]], [[2, -56]], [[2, 7]], [[2, -14]], [[2, -35]], [[2, 28]], [[2, 42]], [[2, -49]], [[2, 56]], [[2, -7]], [[2, 14]], [[2, 35]], [[2, -28]], [[2, 21]], [[2, -21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262605
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 59, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b22', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, 42]], [[2, -49]], [[2, 56]], [[2, -7]], [[2, 14]], [[2, 35]], [[2, -28]], [[2, -42]], [[2, 49]], [[2, -56]], [[2, 7]], [[2, -14]], [[2, -35]], [[2, 28]], [[2, -21]], [[2, 21]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262607
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 60, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b23', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, -35]], [[2, 21]], [[2, -7]], [[2, -14]], [[2, 28]], [[2, -49]], [[2, -56]], [[2, 35]], [[2, -21]], [[2, 7]], [[2, 14]], [[2, -28]], [[2, 49]], [[2, 56]], [[2, -42]], [[2, 42]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262608
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  • id: 6262609
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  • id: 6262610
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  • id: 6262611
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  • id: 6262612
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  • id: 6262613
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 66, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b29', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, -14]], [[2, 56]], [[2, 21]], [[2, 42]], [[2, 35]], [[2, 28]], [[2, 49]], [[2, 14]], [[2, -56]], [[2, -21]], [[2, -42]], [[2, -35]], [[2, -28]], [[2, -49]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262585
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 40, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b3', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[2, -49]], [[2, -42]], [[2, 14]], [[2, 28]], [[2, -56]], [[2, -21]], [[2, -7]], [[2, 49]], [[2, 42]], [[2, -14]], [[2, -28]], [[2, 56]], [[2, 21]], [[2, 7]], [[2, -35]], [[2, 35]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262614
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  • id: 6262615
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 68, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b31', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, -7]], [[2, 28]], [[2, -49]], [[2, 21]], [[2, -42]], [[2, 14]], [[2, -35]], [[2, 7]], [[2, -28]], [[2, 49]], [[2, -21]], [[2, 42]], [[2, -14]], [[2, 35]], [[2, -56]], [[2, 56]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262616
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 69, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b32', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[2, 7]], [[2, -28]], [[2, 49]], [[2, -21]], [[2, 42]], [[2, -14]], [[2, 35]], [[2, -7]], [[2, 28]], [[2, -49]], [[2, 21]], [[2, -42]], [[2, 14]], [[2, -35]], [[2, 56]], [[2, -56]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262618
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 70, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b33', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, -56]], [[2, -14]], [[2, -35]], [[2, 49]], [[2, 21]], [[2, -7]], [[2, -42]], [[2, 56]], [[2, 14]], [[2, 35]], [[2, -49]], [[2, -21]], [[2, 7]], [[2, 42]], [[2, 28]], [[2, -28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262619
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 71, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b34', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, 56]], [[2, 14]], [[2, 35]], [[2, -49]], [[2, -21]], [[2, 7]], [[2, 42]], [[2, -56]], [[2, -14]], [[2, -35]], [[2, 49]], [[2, 21]], [[2, -7]], [[2, -42]], [[2, -28]], [[2, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262620
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 72, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b35', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, -49]], [[2, -42]], [[2, 14]], [[2, 28]], [[2, -56]], [[2, -21]], [[2, -7]], [[2, 49]], [[2, 42]], [[2, -14]], [[2, -28]], [[2, 56]], [[2, 21]], [[2, 7]], [[2, -35]], [[2, 35]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262621
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 73, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b36', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, 49]], [[2, 42]], [[2, -14]], [[2, -28]], [[2, 56]], [[2, 21]], [[2, 7]], [[2, -49]], [[2, -42]], [[2, 14]], [[2, 28]], [[2, -56]], [[2, -21]], [[2, -7]], [[2, 35]], [[2, -35]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262622
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  • id: 6262623
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  • id: 6262624
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  • id: 6262586
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  • id: 6262625
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 77, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b40', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, 35]], [[2, -21]], [[2, 7]], [[2, 14]], [[2, -28]], [[2, 49]], [[2, 56]], [[2, -35]], [[2, 21]], [[2, -7]], [[2, -14]], [[2, 28]], [[2, -49]], [[2, -56]], [[2, 42]], [[2, -42]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262626
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  • id: 6262627
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 79, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b42', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, 28]], [[2, 7]], [[2, -42]], [[2, 35]], [[2, 49]], [[2, -56]], [[2, 21]], [[2, -28]], [[2, -7]], [[2, 42]], [[2, -35]], [[2, -49]], [[2, 56]], [[2, -21]], [[2, -14]], [[2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262629
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 80, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b43', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, -21]], [[2, -35]], [[2, -28]], [[2, -56]], [[2, -7]], [[2, 42]], [[2, 14]], [[2, 21]], [[2, 35]], [[2, 28]], [[2, 56]], [[2, 7]], [[2, -42]], [[2, -14]], [[2, -49]], [[2, 49]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262630
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 81, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b44', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, 21]], [[2, 35]], [[2, 28]], [[2, 56]], [[2, 7]], [[2, -42]], [[2, -14]], [[2, -21]], [[2, -35]], [[2, -28]], [[2, -56]], [[2, -7]], [[2, 42]], [[2, 14]], [[2, 49]], [[2, -49]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262631
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 82, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b45', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, -14]], [[2, 56]], [[2, 21]], [[2, 42]], [[2, 35]], [[2, 28]], [[2, 49]], [[2, 14]], [[2, -56]], [[2, -21]], [[2, -42]], [[2, -35]], [[2, -28]], [[2, -49]], [[2, 7]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262632
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 83, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b46', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, 14]], [[2, -56]], [[2, -21]], [[2, -42]], [[2, -35]], [[2, -28]], [[2, -49]], [[2, -14]], [[2, 56]], [[2, 21]], [[2, 42]], [[2, 35]], [[2, 28]], [[2, 49]], [[2, -7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 6262633
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 84, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b47', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[1, 51], [1, -51]], [[2, -7]], [[2, 28]], [[2, -49]], [[2, 21]], [[2, -42]], [[2, 14]], [[2, -35]], [[2, 7]], [[2, -28]], [[2, 49]], [[2, -21]], [[2, 42]], [[2, -14]], [[2, 35]], [[2, -56]], [[2, 56]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262634
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  • id: 6262587
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  • id: 6262588
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  • id: 6262589
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  • id: 6262590
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 45, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b8', 'nt': [119, 48], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[2, 35]], [[2, -21]], [[2, 7]], [[2, 14]], [[2, -28]], [[2, 49]], [[2, 56]], [[2, -35]], [[2, 21]], [[2, -7]], [[2, -14]], [[2, 28]], [[2, -49]], [[2, -56]], [[2, 42]], [[2, -42]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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  • id: 6262591
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 17, 'counter': 46, 'cyclotomic_n': 119, 'dim': 2, 'faithful': True, 'field': [1, -2, 5, -11, 25, -56, 126, -283, 636, -1429, 3211, -7215, 16212, -36428, 81853, -183922, 413269, 20216, 188915, 55655, 97821, 48928, 55620, 35509, 33530, 24069, 20901, 15797, 13376, 9946, 9281, 4760, 9707, -5373, 2993, -1652, 924, -507, 286, -155, 89, -47, 28, -14, 9, -4, 3, -1, 1], 'group': '238.1', 'group_counter': 1, 'group_order': 238, 'image': None, 'image_isoclass': '238.1', 'image_order': 238, 'indicator': 0, 'kernel': '238.a1.a1', 'kernel_order': 1, 'label': '238.1.2b9', 'nt': [119, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[1, 51], [1, -51]], [[1, 17], [1, -17]], [[1, 34], [1, -34]], [[2, -28]], [[2, -7]], [[2, 42]], [[2, -35]], [[2, -49]], [[2, 56]], [[2, -21]], [[2, 28]], [[2, 7]], [[2, -42]], [[2, 35]], [[2, 49]], [[2, -56]], [[2, 21]], [[2, 14]], [[2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 10], [1, -24]], [[1, 11], [1, 45]], [[-1, 6], [-1, 23], [-1, 40], [-1, 57], [-1, -28]], [[-1, 6], [-1, 13], [-1, 16], [1, 17], [-1, 20], [-1, 23], [1, 24], [-1, 27], [-1, 30], [1, 31], [-1, 33], [-1, 37], [1, 38], [-1, 40], [-1, 44], [1, 45], [-1, 47], [1, 52], [-1, 54], [-1, 57], [1, 59], [-1, -58], [-1, -55], [1, -53], [-1, -52], [-1, -48], [1, -46], [-1, -45], [-1, -41], [1, -39], [-1, -38], [-1, -35], [1, -32], [-1, -31], [-1, -28], [1, -25], [-1, -24], [-1, -21], [-1, -14], [-1, -7]], [[1, 41], [1, -27]], [[-1, 2], [-1, 19], [-1, 53], [-1, -49], [-1, -32]], [[1, -59], [1, -25]], [[-1, 4], [1, 7], [-1, 11], [-1, 18], [1, 24], [-1, 25], [1, 31], [-1, 32], [-1, 39], [1, 41], [-1, 46], [-1, 53], [1, 58], [-1, -59], [-1, -52], [-1, -45], [1, -44], [-1, -38], [-1, -31], [1, -27], [-1, -24], [-1, -17]], [[-1, 3], [-1, 10], [-1, 13], [-1, 20], [-1, 27], [-1, 30], [-1, 37], [-1, 44], [-1, 47], [-1, 54], [-1, -58], [-1, -55], [-1, -48], [-1, -41], [-1, -31], [-1, -24], [-1, -21], [-1, -14], [-1, -7]], [[1, 44], [1, -58]], [[1, -54], [1, -37]], [[1, 4], [-1, 7], [1, 11], [-1, 14], [1, 18], [-1, 24], [1, 25], [-1, 31], [1, 32], [1, 39], [-1, 41], [1, 46], [1, 53], [-1, 58], [1, -59], [-1, -54], [1, -52], [1, -45], [-1, -44], [1, -38], [-1, -37], [1, -31], [-1, -27], [1, -24], [1, -17]], [[1, 2], [1, 9], [1, 16], [-1, 17], [1, 19], [1, 23], [-1, 24], [1, 26], [1, 29], [1, 30], [-1, 31], [1, 33], [-1, 34], [1, 36], [1, 37], [-1, 38], [1, 40], [-1, 41], [1, 43], [1, 44], [-1, 45], [1, 47], [-1, 48], [1, 50], [-1, 52], [1, 53], [1, 54], [-1, 55], [1, 57], [-1, 59], [1, -59], [1, -58], [-1, -57], [1, -55], [-1, -53], [1, -52], [-1, -50], [1, -49], [1, -48], [-1, -46], [1, -45], [-1, -43], [1, -42], [1, -41], [-1, -39], [1, -38], [-1, -36], [1, -35], [1, -31], [-1, -29], [1, -28], [1, -24], [1, -21], [1, -14], [1, -7]], [[1, 15], [1, -36]], [[1, 18], [1, 52]], [[1, 4], [1, 38]], [[-1, 1], [-1, 18], [-1, 35], [-1, 52], [-1, -50]], [[1, 37], [1, 54]], [[1, 20], [1, -48]], [[1, 6], [1, 57]], [[1, 23], [1, 40]], [[1, 30], [1, 47]], [[1, 6], [1, 13], [-1, 17], [1, 20], [1, 23], [-1, 24], [1, 27], [1, 30], [-1, 31], [1, 37], [-1, 38], [1, 40], [1, 44], [-1, 45], [1, 47], [-1, 52], [1, 54], [1, 57], [-1, 59], [1, -58], [1, -55], [-1, -53], [1, -52], [1, -48], [-1, -46], [1, -45], [1, -41], [-1, -39], [1, -38], [-1, -32], [1, -31], [1, -28], [-1, -25], [1, -24], [1, -21], [1, -14], [1, -7]], [[1, 32], [1, -53]], [[1, 46], [1, -39]], [[1, 13], [1, -55]], [[1, 3], [1, -31]], [[1, 53], [1, -32]], [[1, 16], [1, 33]], [[1, 9], [1, 26]], [[-1, 9], [-1, 26], [-1, -59], [-1, -42], [-1, -25]], [[-1, 8], [-1, 25], [-1, 42], [-1, 59], [-1, -43]], [[-1, 7], [-1, 41], [-1, 58], [-1, -44], [-1, -27]], [[1, -47], [1, -30]], [[1, 27], [1, -41]], [[1, 8], [1, -43]], [[1, 1], [1, -50]], [[1, 0], [-1, 2], [1, 7], [-1, 9], [1, 14], [-1, 16], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 24], [-1, 26], [1, 28], [-1, 29], [-1, 30], [1, 31], [-1, 33], [1, 34], [1, 35], [-1, 36], [-1, 37], [1, 38], [-1, 40], [1, 41], [1, 42], [-1, 43], [-1, 44], [1, 45], [-1, 46], [-1, 47], [1, 48], [1, 49], [-1, 50], [1, 52], [-1, 53], [-1, 54], [1, 55], [1, 56], [-1, 57], [1, 59], [-1, -59], [-1, -58], [1, -57], [-1, -55], [1, -53], [-1, -52], [1, -50], [-1, -48], [1, -46], [-1, -45], [1, -43], [-1, -41], [-1, -38], [1, -36], [-1, -31], [1, -29], [-1, -24]], [[1, 2], [1, 19]], [[1, 39], [1, -46]], [[1, 22], [1, -29]], [[1, 25], [1, 59]], [[-1, 22], [-1, 39], [-1, 56], [-1, -46], [-1, -29]], [[-1, 15], [-1, 32], [-1, 49], [-1, -53], [-1, -36]], [[-1, 4], [-1, 21], [-1, 38], [-1, -47], [-1, -30]], [[-1, 1], [1, 7], [-1, 8], [-1, 11], [1, 14], [-1, 15], [-1, 18], [1, 21], [-1, 22], [1, 24], [-1, 25], [-1, 29], [1, 31], [-1, 32], [-1, 36], [1, 38], [-1, 39], [1, 41], [-1, 43], [-1, 46], [1, 48], [-1, 50], [-1, 53], [1, 55], [-1, 57], [1, 58], [-1, -59], [1, -57], [-1, -55], [1, -54], [-1, -52], [-1, -48], [1, -47], [-1, -45], [1, -44], [-1, -41], [-1, -38], [1, -37], [-1, -34], [-1, -31], [1, -30], [-1, -24], [-1, -17]], [[1, 1], [-1, 7], [1, 8], [-1, 14], [1, 15], [1, 18], [-1, 21], [1, 22], [-1, 24], [1, 25], [-1, 28], [1, 29], [-1, 31], [1, 32], [1, 36], [-1, 38], [1, 39], [-1, 41], [1, 43], [-1, 45], [1, 46], [-1, 48], [1, 50], [1, 53], [-1, 55], [1, 57], [-1, 58], [1, -59], [-1, -57], [1, -55], [-1, -54], [1, -52], [1, -48], [-1, -47], [1, -45], [-1, -44], [1, -41], [1, -38], [-1, -37], [1, -34], [1, -31], [-1, -30], [1, -24], [1, -17]], [[1, 58], [1, -44]]]}
• 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: 64202061
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': False, 'central_factor': False, 'centralizer_order': 17, 'characteristic': True, 'core_order': 238, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 238, 'label': '238.1.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '238.1', 'subgroup_hash': 1, 'subgroup_order': 238, 'subgroup_tex': 'D_7\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 64202062
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': False, 'central_factor': False, 'centralizer_order': 119, 'characteristic': True, 'core_order': 119, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 119, 'label': '238.1.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '119.1', 'subgroup_hash': 1, 'subgroup_order': 119, 'subgroup_tex': 'C_{119}', 'supersolvable': True, 'sylow': 0}
  • id: 64202063
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': False, 'central_factor': False, 'centralizer_order': 34, 'characteristic': False, 'core_order': 17, 'counter': 3, 'cyclic': True, 'direct': None, 'hall': 34, 'label': '238.1.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7.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': 7, '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': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 64202064
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': True, 'central_factor': False, 'centralizer_order': 238, 'characteristic': True, 'core_order': 17, 'counter': 4, 'cyclic': True, 'direct': True, 'hall': 17, 'label': '238.1.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': 1, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
  • id: 64202065
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': False, 'central_factor': True, 'centralizer_order': 17, 'characteristic': True, 'core_order': 14, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 14, 'label': '238.1.17.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '17.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '17.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 17, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 64202066
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': False, 'central_factor': False, 'centralizer_order': 119, 'characteristic': True, 'core_order': 7, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '238.1.34.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '34.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 64202067
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': False, 'central_factor': False, 'centralizer_order': 34, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '238.1.119.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '119.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': 119, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
  • id: 64202068
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '238.1', 'ambient_counter': 1, 'ambient_order': 238, 'ambient_tex': 'D_7\\times C_{17}', 'central': True, 'central_factor': False, 'centralizer_order': 238, 'characteristic': True, 'core_order': 1, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '238.1.238.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '238.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '238.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 238, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7\\times C_{17}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D2', 'C3'], '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: 64202061
    {'ambient': '238.1', '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': '14.a1.a1', 'complements': ['238.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '7.a1.a1', '17.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8334, 6543, 3348, 3724, 5532, 5275, 5198, 4695], 'generators': [1, 14, 170], 'label': '238.1.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '17.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '14.1', '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': '14.1'}
  • id: 64202062
    {'ambient': '238.1', 'aut_centralizer_order': 7, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.59', 'aut_weyl_index': 7, 'centralizer': '2.a1.a1', 'complements': ['119.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '34.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4667, 4521, 6266, 5459, 1649, 2557, 1649, 7460], 'generators': [170, 14], 'label': '238.1.2.a1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['14.a1.a1', '34.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '14.1', '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: 64202063
    {'ambient': '238.1', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.1', 'aut_weyl_index': 42, 'centralizer': '7.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '119.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8334, -1, 3476, -1, 5532, -1, 8539, -1], 'generators': [1, 14], 'label': '238.1.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '14.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 64202064
    {'ambient': '238.1', 'aut_centralizer_order': 42, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 42, 'centralizer': '1.a1.a1', 'complements': ['17.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['238.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1666, 1862, 8841, 8011, 2067, 2557, 5073, 7460], 'generators': [14], 'label': '238.1.14.a1.a1', 'mobius_quo': -1, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['238.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '14.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '14.1', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 64202065
    {'ambient': '238.1', 'aut_centralizer_order': 16, 'aut_label': '17.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '42.1', 'aut_weyl_index': 16, 'centralizer': '14.a1.a1', 'complements': ['14.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['34.a1.a1', '119.a1.a1'], 'core': '17.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7286, 8138, 1159, 1989, 8873, 8059, 5198, 1994], 'generators': [1, 170], 'label': '238.1.17.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '17.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['34.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '17.a1.a1', 'projective_image': '238.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '17.a1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 64202066
    {'ambient': '238.1', 'aut_centralizer_order': 112, 'aut_label': '34.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 112, 'centralizer': '2.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '17.a1.a1'], 'contains': ['238.a1.a1'], 'core': '34.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4667, 5212, 5966, 4795, 5407, 7735, 1733, 2315], 'generators': [170], 'label': '238.1.34.a1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '34.a1.a1', 'normal_contained_in': ['2.a1.a1', '17.a1.a1'], 'normal_contains': ['238.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.a1.a1', 'projective_image': '238.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 64202067
    {'ambient': '238.1', 'aut_centralizer_order': 96, 'aut_label': '119.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1.1', 'aut_weyl_index': 672, 'centralizer': '7.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '17.a1.a1'], 'contains': ['238.a1.a1'], 'core': '238.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7286, -1, 3520, -1, 8413, -1, 8413, -1], 'generators': [1], 'label': '238.1.119.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '17.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '119.a1.a1', 'projective_image': '238.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '119.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 64202068
    {'ambient': '238.1', 'aut_centralizer_order': None, 'aut_label': '238.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': ['14.a1.a1', '34.a1.a1', '119.a1.a1'], 'contains': [], 'core': '238.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4667, 3670, 5966, 6327, 5407, 5146, 5073, 4888], 'generators': [], 'label': '238.1.238.a1.a1', 'mobius_quo': 1, 'mobius_sub': -7, 'normal_closure': '238.a1.a1', 'normal_contained_in': ['14.a1.a1', '34.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '238.a1.a1', 'projective_image': '238.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '238.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}