Abstract group data - 370.2

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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': '10.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1332, 'aut_gen_orders': [36, 148], 'aut_gens': [[1, 2], [1, 112], [181, 76]], 'aut_group': '5328.a', 'aut_hash': 6895881831525668864, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5328, 'aut_permdeg': 41, 'aut_perms': [18787124304315855266773495975611497414441276695458, 10296104734705126977814633722553493510897345426233], 'aut_phi_ratio': 37.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 37, 1, 1], [5, 1, 4, 1], [10, 37, 4, 1], [37, 2, 18, 1], [185, 2, 72, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_4\\times F_{37}', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 4, 'autcent_group': '4.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1332, 'autcentquo_group': '1332.31', 'autcentquo_hash': 31, 'autcentquo_nilpotent': False, 'autcentquo_order': 1332, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{37}', 'cc_stats': [[1, 1, 1], [2, 37, 1], [5, 1, 4], [10, 37, 4], [37, 2, 18], [185, 2, 72]], 'center_label': '5.1', 'center_order': 5, 'central_product': True, 'central_quotient': '74.1', 'commutator_count': 1, 'commutator_label': '37.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '5.1', '37.1'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['74.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 37, 1, 1], [5, 1, 4, 1], [10, 37, 4, 1], [37, 2, 18, 1], [185, 2, 72, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 18, 'exponent': 370, 'exponents_of_order': [1, 1, 1], 'factors_of_aut_order': [2, 3, 37], 'factors_of_order': [2, 5, 37], 'faithful_reps': [[2, 0, 72]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '370.2', 'hash': 2, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 74, 'inner_gen_orders': [2, 37], 'inner_gens': [[1, 72], [301, 2]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 74, 'inner_split': False, 'inner_tex': 'D_{37}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 144, 'irrQ_dim': 144, 'irrR_degree': 4, 'irrep_stats': [[1, 10], [2, 90]], 'label': '370.2', 'linC_count': 72, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 40, 'linQ_degree_count': 2, 'linQ_dim': 40, 'linQ_dim_count': 2, 'linR_count': 108, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C5*D37', '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': 100, 'number_divisions': 6, 'number_normal_subgroups': 6, 'number_subgroup_autclasses': 8, 'number_subgroup_classes': 8, 'number_subgroups': 80, 'old_label': None, 'order': 370, 'order_factorization_type': 11, 'order_stats': [[1, 1], [2, 37], [5, 4], [10, 148], [37, 36], [185, 144]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 36, 'outer_gen_orders': [2, 36], 'outer_gen_pows': [1, 0], 'outer_gens': [[1, 12], [1, 346]], 'outer_group': '72.9', 'outer_hash': 9, 'outer_nilpotent': True, 'outer_order': 72, 'outer_permdeg': 15, 'outer_perms': [88216128000, 522593433], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{36}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 42, 'pgroup': 0, 'primary_abelian_invariants': [2, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [4, 2], [36, 1], [144, 1]], 'representations': {'PC': {'code': 7157540163599, 'gens': [1, 2], 'pres': [3, -2, -5, -37, 433, 34, 3242]}, 'GLFq': {'d': 2, 'q': 961, 'gens': [1906147373, 621092126533, 3550014728]}, 'Perm': {'d': 42, 'gens': [816438678154187320793278649036190835909028258640, 33, 35085403969472181749756619351513133336970056516560]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [10], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_5\\times D_{37}', 'transitive_degree': 185, '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: 109943074
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 2, 'group_order': 370, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 109943086
    {'aut_label': '2A', 'centralizer': '37.a1.a1', 'counter': 2, 'group_counter': 2, 'group_order': 370, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 1, 'size': 37}
  • id: 109943097
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 2, 'group_order': 370, 'label': '5A1', 'order': 5, 'powers': [5, 6, 1, 5], 'representative': 74, 'size': 1}
  • id: 109943108
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 2, 'group_order': 370, 'label': '5A-1', 'order': 5, 'powers': [6, 5, 1, 6], 'representative': 296, 'size': 1}
  • id: 109943119
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 2, 'group_order': 370, 'label': '5A2', 'order': 5, 'powers': [4, 3, 1, 4], 'representative': 148, 'size': 1}
  • id: 109943130
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 2, 'group_order': 370, 'label': '5A-2', 'order': 5, 'powers': [3, 4, 1, 3], 'representative': 222, 'size': 1}
  • id: 109943141
    {'aut_label': '10A1', 'centralizer': '37.a1.a1', 'counter': 7, 'group_counter': 2, 'group_order': 370, 'label': '10A1', 'order': 10, 'powers': [3, 9, 2, 10], 'representative': 223, 'size': 37}
  • id: 109943152
    {'aut_label': '10A1', 'centralizer': '37.a1.a1', 'counter': 8, 'group_counter': 2, 'group_order': 370, 'label': '10A-1', 'order': 10, 'powers': [4, 10, 2, 9], 'representative': 149, 'size': 37}
  • id: 109943163
    {'aut_label': '10A1', 'centralizer': '37.a1.a1', 'counter': 9, 'group_counter': 2, 'group_order': 370, 'label': '10A3', 'order': 10, 'powers': [6, 8, 2, 7], 'representative': 297, 'size': 37}
  • id: 109943075
    {'aut_label': '10A1', 'centralizer': '37.a1.a1', 'counter': 10, 'group_counter': 2, 'group_order': 370, 'label': '10A-3', 'order': 10, 'powers': [5, 7, 2, 8], 'representative': 75, 'size': 37}
  • id: 109943077
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 2, 'group_order': 370, 'label': '37A1', 'order': 37, 'powers': [12, 13, 15, 1], 'representative': 10, 'size': 2}
  • id: 109943078
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 2, 'group_order': 370, 'label': '37A2', 'order': 37, 'powers': [14, 16, 20, 1], 'representative': 20, 'size': 2}
  • id: 109943079
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 2, 'group_order': 370, 'label': '37A3', 'order': 37, 'powers': [16, 19, 25, 1], 'representative': 30, 'size': 2}
  • id: 109943080
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 2, 'group_order': 370, 'label': '37A4', 'order': 37, 'powers': [18, 22, 27, 1], 'representative': 40, 'size': 2}
  • id: 109943081
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 2, 'group_order': 370, 'label': '37A5', 'order': 37, 'powers': [20, 25, 22, 1], 'representative': 50, 'size': 2}
  • id: 109943082
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 2, 'group_order': 370, 'label': '37A6', 'order': 37, 'powers': [22, 28, 17, 1], 'representative': 60, 'size': 2}
  • id: 109943083
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 2, 'group_order': 370, 'label': '37A7', 'order': 37, 'powers': [24, 26, 12, 1], 'representative': 70, 'size': 2}
  • id: 109943084
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 2, 'group_order': 370, 'label': '37A8', 'order': 37, 'powers': [26, 23, 13, 1], 'representative': 80, 'size': 2}
  • id: 109943085
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 2, 'group_order': 370, 'label': '37A9', 'order': 37, 'powers': [28, 20, 18, 1], 'representative': 90, 'size': 2}
  • id: 109943087
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 2, 'group_order': 370, 'label': '37A10', 'order': 37, 'powers': [27, 17, 23, 1], 'representative': 100, 'size': 2}
  • id: 109943088
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 2, 'group_order': 370, 'label': '37A11', 'order': 37, 'powers': [25, 14, 28, 1], 'representative': 110, 'size': 2}
  • id: 109943089
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 2, 'group_order': 370, 'label': '37A12', 'order': 37, 'powers': [23, 11, 24, 1], 'representative': 120, 'size': 2}
  • id: 109943090
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 2, 'group_order': 370, 'label': '37A13', 'order': 37, 'powers': [21, 12, 19, 1], 'representative': 130, 'size': 2}
  • id: 109943091
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 2, 'group_order': 370, 'label': '37A14', 'order': 37, 'powers': [19, 15, 14, 1], 'representative': 140, 'size': 2}
  • id: 109943092
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 2, 'group_order': 370, 'label': '37A15', 'order': 37, 'powers': [17, 18, 11, 1], 'representative': 150, 'size': 2}
  • id: 109943093
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 2, 'group_order': 370, 'label': '37A16', 'order': 37, 'powers': [15, 21, 16, 1], 'representative': 160, 'size': 2}
  • id: 109943094
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 2, 'group_order': 370, 'label': '37A17', 'order': 37, 'powers': [13, 24, 21, 1], 'representative': 170, 'size': 2}
  • id: 109943095
    {'aut_label': '37A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 2, 'group_order': 370, 'label': '37A18', 'order': 37, 'powers': [11, 27, 26, 1], 'representative': 180, 'size': 2}
  • id: 109943096
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 2, 'group_order': 370, 'label': '185A1', 'order': 185, 'powers': [31, 33, 11, 3], 'representative': 2, 'size': 2}
  • id: 109943098
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 2, 'group_order': 370, 'label': '185A-1', 'order': 185, 'powers': [32, 34, 11, 4], 'representative': 298, 'size': 2}
  • id: 109943099
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 2, 'group_order': 370, 'label': '185A2', 'order': 185, 'powers': [35, 37, 12, 5], 'representative': 4, 'size': 2}
  • id: 109943100
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 2, 'group_order': 370, 'label': '185A-2', 'order': 185, 'powers': [36, 38, 12, 6], 'representative': 226, 'size': 2}
  • id: 109943101
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 2, 'group_order': 370, 'label': '185A3', 'order': 185, 'powers': [37, 43, 13, 6], 'representative': 6, 'size': 2}
  • id: 109943102
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 2, 'group_order': 370, 'label': '185A-3', 'order': 185, 'powers': [38, 44, 13, 5], 'representative': 154, 'size': 2}
  • id: 109943103
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 2, 'group_order': 370, 'label': '185A4', 'order': 185, 'powers': [41, 47, 14, 4], 'representative': 8, 'size': 2}
  • id: 109943104
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 2, 'group_order': 370, 'label': '185A-4', 'order': 185, 'powers': [42, 48, 14, 3], 'representative': 82, 'size': 2}
  • id: 109943105
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 2, 'group_order': 370, 'label': '185A6', 'order': 185, 'powers': [47, 57, 16, 3], 'representative': 12, 'size': 2}
  • id: 109943106
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 2, 'group_order': 370, 'label': '185A-6', 'order': 185, 'powers': [48, 58, 16, 4], 'representative': 308, 'size': 2}
  • id: 109943107
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 2, 'group_order': 370, 'label': '185A7', 'order': 185, 'powers': [51, 53, 17, 5], 'representative': 14, 'size': 2}
  • id: 109943109
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 2, 'group_order': 370, 'label': '185A-7', 'order': 185, 'powers': [52, 54, 17, 6], 'representative': 236, 'size': 2}
  • id: 109943110
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 2, 'group_order': 370, 'label': '185A8', 'order': 185, 'powers': [53, 65, 18, 6], 'representative': 16, 'size': 2}
  • id: 109943111
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 2, 'group_order': 370, 'label': '185A-8', 'order': 185, 'powers': [54, 66, 18, 5], 'representative': 164, 'size': 2}
  • id: 109943112
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 2, 'group_order': 370, 'label': '185A9', 'order': 185, 'powers': [57, 67, 19, 4], 'representative': 18, 'size': 2}
  • id: 109943113
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 2, 'group_order': 370, 'label': '185A-9', 'order': 185, 'powers': [58, 68, 19, 3], 'representative': 92, 'size': 2}
  • id: 109943114
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 2, 'group_order': 370, 'label': '185A11', 'order': 185, 'powers': [61, 75, 21, 3], 'representative': 22, 'size': 2}
  • id: 109943115
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 2, 'group_order': 370, 'label': '185A-11', 'order': 185, 'powers': [62, 76, 21, 4], 'representative': 318, 'size': 2}
  • id: 109943116
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 2, 'group_order': 370, 'label': '185A12', 'order': 185, 'powers': [65, 29, 22, 5], 'representative': 24, 'size': 2}
  • id: 109943117
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 2, 'group_order': 370, 'label': '185A-12', 'order': 185, 'powers': [66, 30, 22, 6], 'representative': 246, 'size': 2}
  • id: 109943118
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 2, 'group_order': 370, 'label': '185A13', 'order': 185, 'powers': [45, 81, 23, 6], 'representative': 26, 'size': 2}
  • id: 109943120
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 2, 'group_order': 370, 'label': '185A-13', 'order': 185, 'powers': [46, 82, 23, 5], 'representative': 174, 'size': 2}
  • id: 109943121
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 2, 'group_order': 370, 'label': '185A14', 'order': 185, 'powers': [69, 73, 24, 4], 'representative': 28, 'size': 2}
  • id: 109943122
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 2, 'group_order': 370, 'label': '185A-14', 'order': 185, 'powers': [70, 74, 24, 3], 'representative': 102, 'size': 2}
  • id: 109943123
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 2, 'group_order': 370, 'label': '185A16', 'order': 185, 'powers': [73, 87, 26, 3], 'representative': 32, 'size': 2}
  • id: 109943124
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 2, 'group_order': 370, 'label': '185A-16', 'order': 185, 'powers': [74, 88, 26, 4], 'representative': 328, 'size': 2}
  • id: 109943125
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 2, 'group_order': 370, 'label': '185A17', 'order': 185, 'powers': [77, 52, 27, 5], 'representative': 34, 'size': 2}
  • id: 109943126
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 2, 'group_order': 370, 'label': '185A-17', 'order': 185, 'powers': [78, 51, 27, 6], 'representative': 256, 'size': 2}
  • id: 109943127
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 2, 'group_order': 370, 'label': '185A18', 'order': 185, 'powers': [29, 93, 28, 6], 'representative': 36, 'size': 2}
  • id: 109943128
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 2, 'group_order': 370, 'label': '185A-18', 'order': 185, 'powers': [30, 94, 28, 5], 'representative': 184, 'size': 2}
  • id: 109943129
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 2, 'group_order': 370, 'label': '185A19', 'order': 185, 'powers': [79, 55, 28, 4], 'representative': 38, 'size': 2}
  • id: 109943131
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 2, 'group_order': 370, 'label': '185A-19', 'order': 185, 'powers': [80, 56, 28, 3], 'representative': 112, 'size': 2}
  • id: 109943132
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 2, 'group_order': 370, 'label': '185A22', 'order': 185, 'powers': [85, 72, 25, 5], 'representative': 44, 'size': 2}
  • id: 109943133
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 2, 'group_order': 370, 'label': '185A-22', 'order': 185, 'powers': [86, 71, 25, 6], 'representative': 266, 'size': 2}
  • id: 109943134
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 2, 'group_order': 370, 'label': '185A23', 'order': 185, 'powers': [44, 99, 24, 6], 'representative': 46, 'size': 2}
  • id: 109943135
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 2, 'group_order': 370, 'label': '185A-23', 'order': 185, 'powers': [43, 100, 24, 5], 'representative': 194, 'size': 2}
  • id: 109943136
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 2, 'group_order': 370, 'label': '185A24', 'order': 185, 'powers': [87, 31, 23, 4], 'representative': 48, 'size': 2}
  • id: 109943137
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 2, 'group_order': 370, 'label': '185A-24', 'order': 185, 'powers': [88, 32, 23, 3], 'representative': 122, 'size': 2}
  • id: 109943138
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 2, 'group_order': 370, 'label': '185A27', 'order': 185, 'powers': [93, 86, 20, 5], 'representative': 54, 'size': 2}
  • id: 109943139
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 2, 'group_order': 370, 'label': '185A-27', 'order': 185, 'powers': [94, 85, 20, 6], 'representative': 276, 'size': 2}
  • id: 109943140
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 2, 'group_order': 370, 'label': '185A28', 'order': 185, 'powers': [60, 97, 19, 6], 'representative': 56, 'size': 2}
  • id: 109943142
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 2, 'group_order': 370, 'label': '185A-28', 'order': 185, 'powers': [59, 98, 19, 5], 'representative': 204, 'size': 2}
  • id: 109943143
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 2, 'group_order': 370, 'label': '185A29', 'order': 185, 'powers': [91, 50, 18, 4], 'representative': 58, 'size': 2}
  • id: 109943144
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 2, 'group_order': 370, 'label': '185A-29', 'order': 185, 'powers': [92, 49, 18, 3], 'representative': 132, 'size': 2}
  • id: 109943145
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 2, 'group_order': 370, 'label': '185A32', 'order': 185, 'powers': [97, 96, 15, 5], 'representative': 64, 'size': 2}
  • id: 109943146
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 2, 'group_order': 370, 'label': '185A-32', 'order': 185, 'powers': [98, 95, 15, 6], 'representative': 286, 'size': 2}
  • id: 109943147
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 2, 'group_order': 370, 'label': '185A33', 'order': 185, 'powers': [72, 89, 14, 6], 'representative': 66, 'size': 2}
  • id: 109943148
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 2, 'group_order': 370, 'label': '185A-33', 'order': 185, 'powers': [71, 90, 14, 5], 'representative': 214, 'size': 2}
  • id: 109943149
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 2, 'group_order': 370, 'label': '185A34', 'order': 185, 'powers': [83, 70, 13, 4], 'representative': 68, 'size': 2}
  • id: 109943150
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 2, 'group_order': 370, 'label': '185A-34', 'order': 185, 'powers': [84, 69, 13, 3], 'representative': 142, 'size': 2}
  • id: 109943151
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 2, 'group_order': 370, 'label': '185A38', 'order': 185, 'powers': [82, 77, 11, 6], 'representative': 76, 'size': 2}
  • id: 109943153
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 2, 'group_order': 370, 'label': '185A-38', 'order': 185, 'powers': [81, 78, 11, 5], 'representative': 224, 'size': 2}
  • id: 109943154
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 2, 'group_order': 370, 'label': '185A39', 'order': 185, 'powers': [75, 84, 12, 4], 'representative': 78, 'size': 2}
  • id: 109943155
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 2, 'group_order': 370, 'label': '185A-39', 'order': 185, 'powers': [76, 83, 12, 3], 'representative': 152, 'size': 2}
  • id: 109943156
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 2, 'group_order': 370, 'label': '185A43', 'order': 185, 'powers': [90, 59, 16, 6], 'representative': 86, 'size': 2}
  • id: 109943157
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 2, 'group_order': 370, 'label': '185A-43', 'order': 185, 'powers': [89, 60, 16, 5], 'representative': 234, 'size': 2}
  • id: 109943158
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 2, 'group_order': 370, 'label': '185A44', 'order': 185, 'powers': [63, 92, 17, 4], 'representative': 88, 'size': 2}
  • id: 109943159
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 2, 'group_order': 370, 'label': '185A-44', 'order': 185, 'powers': [64, 91, 17, 3], 'representative': 162, 'size': 2}
  • id: 109943160
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 2, 'group_order': 370, 'label': '185A48', 'order': 185, 'powers': [96, 35, 21, 6], 'representative': 96, 'size': 2}
  • id: 109943161
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 2, 'group_order': 370, 'label': '185A-48', 'order': 185, 'powers': [95, 36, 21, 5], 'representative': 244, 'size': 2}
  • id: 109943162
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 2, 'group_order': 370, 'label': '185A49', 'order': 185, 'powers': [49, 80, 22, 4], 'representative': 98, 'size': 2}
  • id: 109943164
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 2, 'group_order': 370, 'label': '185A-49', 'order': 185, 'powers': [50, 79, 22, 3], 'representative': 172, 'size': 2}
  • id: 109943165
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 2, 'group_order': 370, 'label': '185A53', 'order': 185, 'powers': [100, 46, 26, 6], 'representative': 106, 'size': 2}
  • id: 109943166
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 2, 'group_order': 370, 'label': '185A-53', 'order': 185, 'powers': [99, 45, 26, 5], 'representative': 254, 'size': 2}
  • id: 109943167
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 2, 'group_order': 370, 'label': '185A54', 'order': 185, 'powers': [33, 64, 27, 4], 'representative': 108, 'size': 2}
  • id: 109943168
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 2, 'group_order': 370, 'label': '185A-54', 'order': 185, 'powers': [34, 63, 27, 3], 'representative': 182, 'size': 2}
  • id: 109943169
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 2, 'group_order': 370, 'label': '185A59', 'order': 185, 'powers': [40, 42, 25, 4], 'representative': 118, 'size': 2}
  • id: 109943170
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 2, 'group_order': 370, 'label': '185A-59', 'order': 185, 'powers': [39, 41, 25, 3], 'representative': 192, 'size': 2}
  • id: 109943171
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 2, 'group_order': 370, 'label': '185A64', 'order': 185, 'powers': [56, 39, 20, 4], 'representative': 128, 'size': 2}
  • id: 109943172
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 2, 'group_order': 370, 'label': '185A-64', 'order': 185, 'powers': [55, 40, 20, 3], 'representative': 202, 'size': 2}
  • id: 109943173
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 2, 'group_order': 370, 'label': '185A69', 'order': 185, 'powers': [68, 61, 15, 4], 'representative': 138, 'size': 2}
  • id: 109943076
    {'aut_label': '185A1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 2, 'group_order': 370, 'label': '185A-69', 'order': 185, 'powers': [67, 62, 15, 3], 'representative': 212, '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: 4449358
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '370.2', 'group_order': 370, 'image': None, 'label': '370.2.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4449359
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '370.2', 'group_order': 370, 'image': None, 'label': '370.2.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4449360
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '370.2', 'group_order': 370, 'image': None, 'label': '370.2.1c', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4449361
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '370.2', 'group_order': 370, 'image': None, 'label': '370.2.1d', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4449362
    {'cdim': 2, 'counter': 5, 'faithful': False, 'group': '370.2', 'group_order': 370, 'image': None, 'label': '370.2.2a', 'multiplicity': 18, 'nt': [37, 2], 'qdim': 36, 'qvalues': [36, 0, 36, 36, 36, 36, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4449363
    {'cdim': 2, 'counter': 6, 'faithful': True, 'group': '370.2', 'group_order': 370, 'image': None, 'label': '370.2.2b', 'multiplicity': 72, 'nt': [185, 0], 'qdim': 144, 'qvalues': [144, 0, -36, -36, -36, -36, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], '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: 6850533
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 370, 'label': '370.2.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6850545
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 185, 'label': '370.2.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6850556
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 3, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 74, 'label': '370.2.1c1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]]]}
  • id: 6850567
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 4, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 74, 'label': '370.2.1c2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]]]}
  • id: 6850578
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 5, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 74, 'label': '370.2.1c3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[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, 2]], [[1, 2]], [[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, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 6850589
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 6, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 74, 'label': '370.2.1c4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[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, -2]], [[1, -2]], [[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, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 6850600
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 7, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 37, 'label': '370.2.1d1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]]]}
  • id: 6850611
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 8, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 37, 'label': '370.2.1d2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]]]}
  • id: 6850622
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 37, 'label': '370.2.1d3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[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, 2]], [[1, 2]], [[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, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 6850534
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 370, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 37, 'label': '370.2.1d4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[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, -2]], [[1, -2]], [[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, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 6850536
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 11, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a1', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 8], [1, -8]]]}
  • id: 6850546
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 20, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a10', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 4], [1, -4]]]}
  • id: 6850547
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 21, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a11', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 17], [1, -17]]]}
  • id: 6850548
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 22, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a12', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 1], [1, -1]]]}
  • id: 6850549
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 23, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a13', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 15], [1, -15]]]}
  • id: 6850550
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 24, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a14', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 6], [1, -6]]]}
  • id: 6850551
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 25, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a15', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 10], [1, -10]]]}
  • id: 6850552
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 26, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a16', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 11], [1, -11]]]}
  • id: 6850553
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 27, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a17', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 18], [1, -18]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 5], [1, -5]]]}
  • id: 6850554
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 28, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a18', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 16], [1, -16]]]}
  • id: 6850537
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 12, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a2', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 17], [1, -17]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 13], [1, -13]]]}
  • id: 6850538
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 13, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a3', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 3], [1, -3]]]}
  • id: 6850539
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 14, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a4', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, -18]]]}
  • id: 6850540
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 15, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a5', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 18], [1, -18]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 2], [1, -2]]]}
  • id: 6850541
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 16, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a6', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 14], [1, -14]]]}
  • id: 6850542
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 17, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a7', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 17], [1, -17]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 16], [1, -16]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]]]}
  • id: 6850543
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 18, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a8', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 16], [1, -16]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]]]}
  • id: 6850544
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 19, 'cyclotomic_n': 37, 'dim': 2, 'faithful': False, 'field': [-1, -9, 45, 120, -330, -462, 924, 792, -1287, -715, 1001, 364, -455, -105, 120, 16, -17, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '74.1', 'image_order': 74, 'indicator': 1, 'kernel': '74.a1.a1', 'kernel_order': 5, 'label': '370.2.2a9', 'nt': [37, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 18], [1, -18]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 18], [1, -18]], [[1, 16], [1, -16]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 18], [1, -18]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 17], [1, -17]], [[1, 17], [1, -17]], [[1, 18], [1, -18]], [[1, 11], [1, -11]], [[1, 12], [1, -12]]]}
  • id: 6850555
    {'center': '74.a1.a1', 'center_index': 74, 'center_order': 5, 'counter': 29, 'cyclotomic_n': 185, 'dim': 2, 'faithful': True, 'field': [1, 9, 126, 1419, 17031, -26553, 320640, -755379, 5960106, -996593, 46201312, 13412111, 300058540, -61836558, 1320017319, -545756309, 4678038934, -1339019075, 12329542559, -2511042501, 26779504815, -6411033331, 48071392210, -13134461666, 73322658460, -19177292148, 94374293768, -23448401729, 105183794234, -26609544310, 102607228214, -26441991769, 88502851205, -22473759598, 67626038382, -16921314069, 46262351373, -11561031282, 28511842971, -7081762726, 15904193325, -3883985481, 8043803999, -1933872307, 3708279147, -879456135, 1562169412, -363043988, 601951194, -136227629, 212101373, -46766961, 68469036, -14658370, 20213950, -4160000, 5438738, -1068917, 1327711, -248676, 293251, -51570, 57889, -9326, 10046, -1460, 1502, -193, 189, -19, 18, -1, 1], 'group': '370.2', 'group_counter': 2, 'group_order': 370, 'image': None, 'image_isoclass': '370.2', 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  • id: 6850565
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  • id: 6850566
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  • id: 6850569
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  • id: 6850570
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  • id: 6850572
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  • id: 6850573
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  • id: 6850575
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  • id: 6850557
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  • id: 6850577
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  • id: 6850579
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  • id: 6850581
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  • id: 6850582
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  • id: 6850584
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  • id: 6850585
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  • id: 6850558
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  • id: 6850587
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  • id: 6850590
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  • id: 6850591
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  • id: 6850593
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  • id: 6850594
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  • id: 6850596
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  • id: 6850597
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  • id: 6850598
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  • id: 6850599
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  • id: 6850602
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  • id: 6850603
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  • id: 6850605
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  • id: 6850606
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  • id: 6850608
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  • id: 6850560
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  • id: 6850610
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  • id: 6850612
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  • id: 6850613
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  • id: 6850614
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  • id: 6850615
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  • id: 6850617
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  • id: 6850618
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  • id: 6850561
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  • id: 6850620
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  • id: 6850623
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  • id: 6850624
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  • id: 6850626
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  • id: 6850627
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  • id: 6850629
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  • id: 6850630
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  • id: 6850631
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  • id: 6850632
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  • id: 6850563
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  • id: 6850564
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'image_order': 370, 'indicator': 0, 'kernel': '370.a1.a1', 'kernel_order': 1, 'label': '370.2.2b9', 'nt': [185, 0], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -74]], [[2, 74]], [[2, 37]], [[2, -37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 70], [1, -70]], [[1, 45], [1, -45]], [[1, 25], [1, -25]], [[1, 90], [1, -90]], [[1, 20], [1, -20]], [[1, 50], [1, -50]], [[1, 65], [1, -65]], [[1, 5], [1, -5]], [[1, 75], [1, -75]], [[1, 40], [1, -40]], [[1, 30], [1, -30]], [[1, 85], [1, -85]], [[1, 15], [1, -15]], [[1, 55], [1, -55]], [[1, 60], [1, -60]], [[1, 10], [1, -10]], [[1, 80], [1, -80]], [[1, 35], [1, -35]], [[-1, 16], [-1, 21], [-1, 53], [-1, 58], [-1, 90], [-1, -90], [-1, -58], [-1, -53]], [[1, 22], [1, 52]], [[1, 4], [1, 9], [1, 14], [1, 19], [1, 24], [1, 29], [1, 34], [-1, 37], [1, 39], [1, 41], [-1, 42], [1, 44], [1, 46], [-1, 47], [1, 49], [1, 51], [-1, 52], [1, 54], [1, 56], [-1, 57], [1, 59], [1, 61], [-1, 62], [1, 64], [1, 66], [-1, 67], [1, 69], [1, 71], [-1, 72], [1, 76], [-1, 77], [1, 78], [1, 81], [-1, 82], [1, 83], [1, 86], [-1, 87], [1, 88], [1, 91], [-1, 92], [1, -92], [1, -89], [-1, -88], [1, -87], [1, -84], [-1, -83], [1, -82], [1, -79], [-1, -78], [1, -77], [1, -72], [1, -70], [-1, -68], [1, -67], [1, -65], [-1, -63], [1, -62], [1, -60], [-1, -58], [1, -57], [1, -55], [-1, -53], [1, -52], [1, -50], [-1, -48], [1, -47], [1, -45], [-1, -43], [1, -42], [1, -40], [1, -35], [1, -30], [1, -25], [1, -20], [1, -15], [1, -10], [1, -5]], [[1, 17], [1, 57]], [[-1, 4], [-1, 41], [-1, 78], [1, -78], [-1, -70]], [[1, -68], [1, -43]], [[1, 18], [1, -92]], [[1, 48], [1, 63]], [[1, 3], [1, -77]], [[1, 38], [1, 73]], [[1, 28], [1, 83]], [[-1, 28], [1, 46], [-1, 65], [-1, -83], [-1, -46]], [[1, -79], [1, -69]], [[1, -84], [1, -64]], [[1, 44], [1, -81]], [[-1, 6], [-1, 31], [-1, 43], [-1, 68], [-1, 80], [-1, -80], [-1, -68], [-1, -43]], [[1, 49], [1, -86]], [[1, 33], [1, 78]], [[1, 53], [1, 58]], [[1, 16], [1, 21]], [[1, 81], [1, -44]], [[1, 69], [1, 79]], [[1, 19], [1, -56]], [[1, 24], [1, -61]], [[1, 43], [1, 68]], [[1, 7], [1, 67]], [[-1, 9], [-1, 46], [-1, 83], [1, -83], [-1, -65]], [[1, 12], [1, 62]], [[-1, 14], [-1, 51], [-1, 88], [1, -88], [-1, -60]], [[-1, 20], [-1, 57], [-1, -91], [1, -57], [-1, -54]], [[1, 91], [1, -54]], [[-1, 3], [-1, 40], [1, 71], [-1, 77], [-1, -71]], [[1, 3], [-1, 5], [1, 8], [-1, 10], [1, 13], [-1, 15], [1, 18], [-1, 20], [1, 23], [-1, 25], [1, 28], [-1, 30], [1, 33], [-1, 35], [1, 38], [-1, 42], [1, 43], [-1, 47], [1, 48], [-1, 52], [1, 53], [-1, 57], [1, 58], [-1, 62], [1, 63], [-1, 67], [1, 68], [-1, 72], [1, 73], [1, 76], [1, 78], [-1, 79], [1, 83], [-1, 84], [1, 88], [-1, 89], [1, -92], [-1, -91], [1, -87], [-1, -86], [1, -82], [-1, -81], [1, -77], [-1, -76], [1, -72], [-1, -69], [1, -67], [-1, -64], [1, -62], [-1, -59], [1, -57], [-1, -54], [1, -52], [-1, -49], [1, -47], [-1, -44], [1, -42], [1, -37]], [[1, 59], [1, 89]], [[1, 9], [1, -46]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [1, 6], [-1, 10], [1, 11], [-1, 15], [1, 16], [-1, 20], [1, 21], [-1, 25], [1, 26], [-1, 30], [1, 31], [-1, 35], [1, 36], [-1, 37], [1, 38], [-1, 40], [1, 41], [-1, 42], [1, 43], [-1, 45], [1, 46], [-1, 47], [1, 48], [-1, 50], [1, 51], [-1, 52], [1, 53], [-1, 55], [1, 56], [-1, 57], [1, 58], [-1, 60], [1, 61], [-1, 62], [1, 63], [-1, 65], [1, 66], [-1, 67], [1, 68], [-1, 70], [1, 71], [-1, 72], [1, 73], [-1, 74], [1, 76], [-1, 77], [1, 78], [-1, 79], [1, 81], [-1, 82], [1, 83], [-1, 84], [1, 86], [-1, 87], [1, 88], [-1, 89], [1, 91], [-1, 92], [1, -92], [-1, -91], [1, -89], [-1, -88], [1, -87], [-1, -86], [1, -84], [-1, -83], [1, -82], [-1, -81], [1, -79], [-1, -78], [1, -77], [-1, -76], [1, -72], [-1, -71], [1, -67], [-1, -66], [1, -62], [-1, -61], [1, -57], [-1, -56], [1, -52], [-1, -51], [1, -47], [-1, -46], [1, -42]], [[1, -63], [1, -48]], [[1, 32], [1, 42]], [[1, -58], [1, -53]], [[-1, 3], [1, 5], [-1, 8], [1, 10], [-1, 13], [1, 15], [-1, 18], [1, 20], [-1, 23], [1, 25], [-1, 28], [1, 30], [-1, 33], [-1, 38], [1, 42], [-1, 43], [1, 47], [-1, 48], [1, 52], [-1, 53], [1, 57], [-1, 58], [1, 62], [-1, 63], [1, 67], [-1, 68], [-1, 73], [-1, 78], [1, 79], [-1, 83], [1, 84], [-1, 88], [1, 89], [-1, -92], [1, -91], [-1, -87], [1, -86], [-1, -82], [1, -81], [-1, -77], [1, -69], [-1, -67], [1, -64], [-1, -62], [1, -59], [-1, -57], [1, -54], [-1, -52], [1, -49], [-1, -47], [1, -44], [-1, -42], [-1, -37]], [[1, 13], [1, -87]], [[-1, 13], [-1, 50], [1, 61], [-1, 87], [-1, -61]], [[1, 1], [1, 36]], [[1, 6], [1, 31]], [[-1, 11], [-1, 26], [-1, 48], [-1, 63], [-1, 85], [-1, -85], [-1, -63], [-1, -48]], [[1, 39], [1, -76]], [[1, 29], [1, -66]], [[1, 0], [-1, 1], [1, 5], [-1, 6], [1, 10], [-1, 11], [1, 15], [-1, 16], [1, 20], [-1, 21], [1, 25], [-1, 26], [1, 30], [-1, 31], [-1, 33], [1, 35], [-1, 36], [1, 37], [-1, 38], [1, 40], [1, 42], [-1, 43], [1, 45], [-1, 46], [1, 47], [-1, 48], [1, 50], [-1, 51], [1, 52], [-1, 53], [1, 55], [-1, 56], [1, 57], [-1, 58], [1, 60], [-1, 61], [1, 62], [-1, 63], [1, 65], [-1, 66], [1, 67], [-1, 68], [-1, 71], [1, 72], [-1, 73], [1, 74], [-1, 76], [1, 77], [-1, 78], [1, 79], [-1, 81], [1, 82], [-1, 83], [1, 84], [-1, 86], [1, 87], [-1, 88], [1, 89], [-1, 91], [1, 92], [-1, -92], [1, -91], [-1, -89], [1, -88], [-1, -87], [1, -86], [-1, -84], [1, -83], [-1, -82], [1, -81], [-1, -79], [-1, -77], [1, -76], [-1, -72], [1, -71], [-1, -67], [1, -66], [-1, -62], [1, -61], [-1, -57], [1, -56], [-1, -52], [1, -51], [-1, -47], [1, -46], [-1, -42]], [[-1, 25], [-1, 62], [-1, -86], [1, -62], [-1, -49]], [[1, 86], [1, -49]], [[1, 11], [1, 26]], [[-1, 1], [-1, 4], [-1, 9], [-1, 14], [-1, 19], [-1, 24], [-1, 29], [-1, 34], [-1, 36], [1, 37], [-1, 38], [-1, 39], [-1, 41], [1, 42], [-1, 44], [-1, 46], [1, 47], [-1, 49], [-1, 51], [1, 52], [-1, 54], [-1, 56], [1, 57], [-1, 59], [-1, 61], [1, 62], [-1, 64], [-1, 66], [1, 67], [-1, 69], [-1, 71], [1, 72], [-1, 73], [-1, 75], [-1, 76], [1, 77], [-1, 78], [-1, 81], [1, 82], [-1, 83], [-1, 86], [1, 87], [-1, 88], [-1, 91], [1, 92], [-1, -92], [-1, -89], [1, -88], [-1, -87], [-1, -84], [1, -83], [-1, -82], [-1, -79], [1, -78], [-1, -77], [-1, -75], [-1, -72], [-1, -70], [1, -68], [-1, -67], [-1, -65], [1, -63], [-1, -62], [-1, -60], [1, -58], [-1, -57], [-1, -55], [1, -53], [-1, -52], [-1, -50], [1, -48], [-1, -47], [-1, -45], [1, -43], [-1, -42], [-1, -40], [-1, -35], [-1, -30], [-1, -25], [-1, -20], [-1, -15], [-1, -10], [-1, -5]], [[1, 14], [1, -51]], [[1, 54], [1, -91]], [[-1, 19], [-1, 56], [1, 92], [-1, -92], [-1, -55]], [[-1, 2], [-1, 7], [-1, 12], [-1, 17], [-1, 22], [-1, 27], [-1, 32], [-1, 34], [-1, 39], [-1, 44], [-1, 49], [-1, 54], [-1, 59], [-1, 64], [-1, 69], [-1, 71], [-1, 76], [1, 77], [-1, 81], [-1, 86], [-1, 91], [-1, -89], [-1, -84], [-1, -79], [-1, -77], [-1, -72], [-1, -67], [-1, -62], [-1, -57], [-1, -52], [-1, -47], [-1, -42], [-1, -40], [-1, -35], [-1, -30], [-1, -25], [-1, -20], [-1, -15], [-1, -10], [-1, -5]], [[-1, 24], [-1, 61], [1, 87], [-1, -87], [-1, -50]], [[-1, 29], [-1, 66], [1, 82], [-1, -82], [-1, -45]], [[1, 27], [1, 47]], [[1, 2], [1, 72]], [[-1, 15], [-1, 52], [-1, 89], [-1, -59], [1, -52]], [[-1, 30], [-1, 67], [-1, -81], [1, -67], [-1, -44]], [[-1, 18], [-1, 55], [1, 56], [-1, 92], [-1, -56]], [[-1, 5], [-1, 42], [-1, 79], [-1, -69], [1, -42]], [[1, 23], [1, 88]], [[-1, 10], [-1, 47], [-1, 84], [-1, -64], [1, -47]], [[-1, 23], [1, 51], [-1, 60], [-1, -88], [-1, -51]], [[1, 8], [1, -82]], [[-1, 8], [-1, 45], [1, 66], [-1, 82], [-1, -66]], [[1, -89], [1, -59]], [[1, 34], [1, -71]], [[1, 64], [1, 84]]]}
• 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: 65846293
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 5, 'characteristic': True, 'core_order': 370, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 370, 'label': '370.2.1.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': '370.2', 'subgroup_hash': 2, 'subgroup_order': 370, 'subgroup_tex': 'C_5\\times D_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 65846294
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 185, 'characteristic': True, 'core_order': 185, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 185, 'label': '370.2.2.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': '185.1', 'subgroup_hash': 1, 'subgroup_order': 185, 'subgroup_tex': 'C_{185}', 'supersolvable': True, 'sylow': 0}
  • id: 65846295
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': False, 'central_factor': True, 'centralizer_order': 5, 'characteristic': True, 'core_order': 74, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 74, 'label': '370.2.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '74.1', 'subgroup_hash': 1, 'subgroup_order': 74, 'subgroup_tex': 'D_{37}', 'supersolvable': True, 'sylow': 0}
  • id: 65846296
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 185, 'characteristic': True, 'core_order': 37, 'counter': 4, 'cyclic': True, 'direct': False, 'hall': 37, 'label': '370.2.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '37.1', 'subgroup_hash': 1, 'subgroup_order': 37, 'subgroup_tex': 'C_{37}', 'supersolvable': True, 'sylow': 37}
  • id: 65846297
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 5, 'counter': 5, 'cyclic': True, 'direct': None, 'hall': 10, 'label': '370.2.37.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37.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': 37, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 65846298
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 370, 'characteristic': True, 'core_order': 5, 'counter': 6, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '370.2.74.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '74.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '74.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 74, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{37}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 65846299
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '370.2.185.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '185.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': 185, '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: 65846300
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '370.2', 'ambient_counter': 2, 'ambient_order': 370, 'ambient_tex': 'C_5\\times D_{37}', 'central': True, 'central_factor': False, 'centralizer_order': 370, 'characteristic': True, 'core_order': 1, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '370.2.370.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '370.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '370.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 370, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{37}', '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: 65846297
    {'ambient': '370.2', 'aut_centralizer_order': 36, 'aut_label': '37.a1', 'aut_quo_index': None, 'aut_stab_index': 37, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1332, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['74.a1.a1', '185.a1.a1'], 'core': '74.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [1363, -1, 1363, -1, 5156, -1, 5156, -1], 'generators': [1, 222], 'label': '370.2.37.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '37.a1.a1', 'projective_image': '74.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65846293
    {'ambient': '370.2', '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': '74.a1.a1', 'complements': ['370.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '5.a1.a1', '37.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3696, 4244, 3696, 4244, 5156, 4851, 5156, 4851], 'generators': [1, 222, 10], 'label': '370.2.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '74.1', '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': '74.1'}
  • id: 65846294
    {'ambient': '370.2', 'aut_centralizer_order': 37, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.20', 'aut_weyl_index': 37, 'centralizer': '2.a1.a1', 'complements': ['185.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '74.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6342, 6046, 6342, 6046, 1537, 7649, 1537, 7649], 'generators': [222, 10], 'label': '370.2.2.a1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '74.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '74.1', '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: 65846295
    {'ambient': '370.2', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1332.31', 'aut_weyl_index': 4, 'centralizer': '74.a1.a1', 'complements': ['74.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '185.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3774, 2093, 3774, 2093, 8619, 2113, 8619, 2113], 'generators': [1, 10], 'label': '370.2.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '370.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '74.1'}
  • id: 65846296
    {'ambient': '370.2', 'aut_centralizer_order': 148, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '36.2', 'aut_weyl_index': 148, 'centralizer': '2.a1.a1', 'complements': ['37.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['370.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8637, 4360, 8637, 4360, 5078, 2887, 5078, 2887], 'generators': [10], 'label': '370.2.10.a1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['370.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '370.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 65846298
    {'ambient': '370.2', 'aut_centralizer_order': 1332, 'aut_label': '74.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1332, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '37.a1.a1'], 'contains': ['370.a1.a1'], 'core': '74.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6031, 7907, 6031, 7907, 1965, 7649, 1965, 7649], 'generators': [222], 'label': '370.2.74.a1.a1', 'mobius_quo': -1, 'mobius_sub': 37, 'normal_closure': '74.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['370.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '74.a1.a1', 'projective_image': '74.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '74.1', 'quotient_action_kernel_order': 74, 'quotient_fusion': None, 'short_label': '74.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65846299
    {'ambient': '370.2', 'aut_centralizer_order': 144, 'aut_label': '185.a1', 'aut_quo_index': None, 'aut_stab_index': 37, 'aut_weyl_group': '1.1', 'aut_weyl_index': 5328, 'centralizer': '37.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '37.a1.a1'], 'contains': ['370.a1.a1'], 'core': '370.a1.a1', 'coset_action_label': None, 'count': 37, 'diagramx': [3813, -1, 3813, -1, 8191, -1, 8191, -1], 'generators': [1], 'label': '370.2.185.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '37.a1.a1', 'old_label': '185.a1.a1', 'projective_image': '370.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '185.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 65846300
    {'ambient': '370.2', 'aut_centralizer_order': None, 'aut_label': '370.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': ['10.a1.a1', '74.a1.a1', '185.a1.a1'], 'contains': [], 'core': '370.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6031, 7093, 6031, 7093, 5078, 5268, 5078, 5268], 'generators': [], 'label': '370.2.370.a1.a1', 'mobius_quo': 1, 'mobius_sub': -37, 'normal_closure': '370.a1.a1', 'normal_contained_in': ['10.a1.a1', '74.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '370.a1.a1', 'projective_image': '370.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '370.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}