Abstract group data - 560.176

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• gps_groups •

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

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 420, 'aut_gen_orders': [12, 28, 12, 6], 'aut_gens': [[1, 2, 4, 8], [1, 59, 404, 265], [1, 507, 204, 344], [280, 338, 165, 545], [281, 395, 4, 273]], 'aut_group': None, 'aut_hash': 2923964620949019793, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 80640, 'aut_permdeg': 48, 'aut_perms': [3430211324086450584101338590663151688212941389622162215776566, 7927321240849252200508005230277507865712128957864306517436856, 2772410115524658216642931960129006722216371224488350749576020, 8535380315936028810685245457444665028682210751721724305027988], 'aut_phi_ratio': 420.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 5, 4, 1], [2, 7, 4, 1], [2, 35, 4, 1], [5, 2, 2, 1], [7, 2, 3, 1], [10, 2, 6, 1], [10, 14, 8, 1], [14, 2, 9, 1], [14, 10, 12, 1], [35, 4, 6, 1], [70, 4, 18, 1]], 'aut_supersolvable': False, 'aut_tex': 'F_5\\times C_2^2:S_4\\times F_7', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '96.227', 'autcent_hash': 227, 'autcent_nilpotent': False, 'autcent_order': 96, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^2:S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 420, 'autcentquo_group': '840.139', 'autcentquo_hash': 139, 'autcentquo_nilpotent': False, 'autcentquo_order': 840, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 5, 4], [2, 7, 4], [2, 35, 4], [5, 2, 2], [7, 2, 3], [10, 2, 6], [10, 14, 8], [14, 2, 9], [14, 10, 12], [35, 4, 6], [70, 4, 18]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '140.7', 'commutator_count': 1, 'commutator_label': '35.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1', '7.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 176, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['10.1', 1], ['14.1', 1], ['2.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 5, 1, 4], [2, 7, 1, 4], [2, 35, 1, 4], [5, 2, 2, 1], [7, 2, 3, 1], [10, 2, 2, 3], [10, 14, 2, 4], [14, 2, 3, 3], [14, 10, 3, 4], [35, 4, 6, 1], [70, 4, 6, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 371070, 'exponent': 70, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 5, 7], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '560.176', 'hash': 176, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 70, 'inner_gen_orders': [1, 2, 2, 35], 'inner_gens': [[1, 2, 4, 8], [1, 2, 4, 232], [1, 2, 4, 328], [1, 338, 244, 8]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 140, 'inner_split': False, 'inner_tex': 'D_5\\times D_7', 'inner_used': [2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 40], [4, 24]], 'label': '560.176', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D10*D14', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 13, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 80, 'number_divisions': 36, 'number_normal_subgroups': 104, 'number_subgroup_autclasses': 60, 'number_subgroup_classes': 268, 'number_subgroups': 2248, 'old_label': None, 'order': 560, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 191], [5, 4], [7, 6], [10, 124], [14, 138], [35, 24], [70, 72]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 3, 2, 2, 2, 2], 'outer_gen_pows': [0, 2, 4, 0, 0, 0, 0, 0], 'outer_gens': [[281, 282, 284, 8], [1, 2, 4, 456], [1, 2, 4, 248], [281, 282, 284, 289], [1, 3, 4, 8], [1, 283, 4, 8], [1, 283, 285, 8], [1, 3, 5, 8]], 'outer_group': '576.8670', 'outer_hash': 8670, 'outer_nilpotent': False, 'outer_order': 576, 'outer_permdeg': 13, 'outer_perms': [3629088, 127, 45360, 79833904, 1520467200, 1037836800, 1037836921, 1520467207], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^2:S_4\\times C_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [4, 8], [6, 8], [24, 4]], 'representations': {'PC': {'code': 7546781563534032757933413911, 'gens': [1, 2, 3, 4], 'pres': [6, -2, -2, -2, -2, -5, -7, 2793, 1983, 69, 6970, 736, 178, 4337]}, 'GLZN': {'d': 2, 'p': 35, 'gens': [43051, 43121, 42904, 1243404, 257256, 258301]}, 'Perm': {'d': 16, 'gens': [127, 87657292800, 3669120, 7983360, 1482509952000, 973]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{10}\\times D_{14}', 'transitive_degree': 140, '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: 138718308
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 176, 'group_order': 560, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 138718319
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 176, 'group_order': 560, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 280, 'size': 1}
  • id: 138718330
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 176, 'group_order': 560, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 1, 'size': 1}
  • id: 138718341
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 176, 'group_order': 560, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 281, 'size': 1}
  • id: 138718352
    {'aut_label': '2D', 'centralizer': '5.a1', 'counter': 5, 'group_counter': 176, 'group_order': 560, 'label': '2D', 'order': 2, 'powers': [1, 5, 5, 5], 'representative': 2, 'size': 5}
  • id: 138718363
    {'aut_label': '2D', 'centralizer': '5.a1', 'counter': 6, 'group_counter': 176, 'group_order': 560, 'label': '2E', 'order': 2, 'powers': [1, 6, 6, 6], 'representative': 170, 'size': 5}
  • id: 138718374
    {'aut_label': '2D', 'centralizer': '5.a1', 'counter': 7, 'group_counter': 176, 'group_order': 560, 'label': '2F', 'order': 2, 'powers': [1, 7, 7, 7], 'representative': 3, 'size': 5}
  • id: 138718385
    {'aut_label': '2D', 'centralizer': '5.a1', 'counter': 8, 'group_counter': 176, 'group_order': 560, 'label': '2G', 'order': 2, 'powers': [1, 8, 8, 8], 'representative': 171, 'size': 5}
  • id: 138718387
    {'aut_label': '2H', 'centralizer': '7.a1', 'counter': 9, 'group_counter': 176, 'group_order': 560, 'label': '2H', 'order': 2, 'powers': [1, 9, 9, 9], 'representative': 244, 'size': 7}
  • id: 138718309
    {'aut_label': '2H', 'centralizer': '7.a1', 'counter': 10, 'group_counter': 176, 'group_order': 560, 'label': '2I', 'order': 2, 'powers': [1, 10, 10, 10], 'representative': 124, 'size': 7}
  • id: 138718310
    {'aut_label': '2H', 'centralizer': '7.a1', 'counter': 11, 'group_counter': 176, 'group_order': 560, 'label': '2J', 'order': 2, 'powers': [1, 11, 11, 11], 'representative': 245, 'size': 7}
  • id: 138718311
    {'aut_label': '2H', 'centralizer': '7.a1', 'counter': 12, 'group_counter': 176, 'group_order': 560, 'label': '2K', 'order': 2, 'powers': [1, 12, 12, 12], 'representative': 125, 'size': 7}
  • id: 138718312
    {'aut_label': '2L', 'centralizer': '35.a1', 'counter': 13, 'group_counter': 176, 'group_order': 560, 'label': '2L', 'order': 2, 'powers': [1, 13, 13, 13], 'representative': 446, 'size': 35}
  • id: 138718313
    {'aut_label': '2L', 'centralizer': '35.a1', 'counter': 14, 'group_counter': 176, 'group_order': 560, 'label': '2M', 'order': 2, 'powers': [1, 14, 14, 14], 'representative': 390, 'size': 35}
  • id: 138718314
    {'aut_label': '2L', 'centralizer': '35.a1', 'counter': 15, 'group_counter': 176, 'group_order': 560, 'label': '2N', 'order': 2, 'powers': [1, 15, 15, 15], 'representative': 39, 'size': 35}
  • id: 138718315
    {'aut_label': '2L', 'centralizer': '35.a1', 'counter': 16, 'group_counter': 176, 'group_order': 560, 'label': '2O', 'order': 2, 'powers': [1, 16, 16, 16], 'representative': 127, 'size': 35}
  • id: 138718316
    {'aut_label': '5A1', 'centralizer': '2.c1', 'counter': 17, 'group_counter': 176, 'group_order': 560, 'label': '5A1', 'order': 5, 'powers': [18, 18, 1, 18], 'representative': 112, 'size': 2}
  • id: 138718317
    {'aut_label': '5A1', 'centralizer': '2.c1', 'counter': 18, 'group_counter': 176, 'group_order': 560, 'label': '5A2', 'order': 5, 'powers': [17, 17, 1, 17], 'representative': 224, 'size': 2}
  • id: 138718318
    {'aut_label': '7A1', 'centralizer': '2.b1', 'counter': 19, 'group_counter': 176, 'group_order': 560, 'label': '7A1', 'order': 7, 'powers': [20, 21, 20, 1], 'representative': 160, 'size': 2}
  • id: 138718320
    {'aut_label': '7A1', 'centralizer': '2.b1', 'counter': 20, 'group_counter': 176, 'group_order': 560, 'label': '7A2', 'order': 7, 'powers': [21, 19, 21, 1], 'representative': 320, 'size': 2}
  • id: 138718321
    {'aut_label': '7A1', 'centralizer': '2.b1', 'counter': 21, 'group_counter': 176, 'group_order': 560, 'label': '7A3', 'order': 7, 'powers': [19, 20, 19, 1], 'representative': 480, 'size': 2}
  • id: 138718322
    {'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 22, 'group_counter': 176, 'group_order': 560, 'label': '10A1', 'order': 10, 'powers': [17, 23, 2, 23], 'representative': 56, 'size': 2}
  • id: 138718323
    {'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 23, 'group_counter': 176, 'group_order': 560, 'label': '10A3', 'order': 10, 'powers': [18, 22, 2, 22], 'representative': 168, 'size': 2}
  • id: 138718324
    {'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 24, 'group_counter': 176, 'group_order': 560, 'label': '10B1', 'order': 10, 'powers': [18, 25, 3, 25], 'representative': 113, 'size': 2}
  • id: 138718325
    {'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 25, 'group_counter': 176, 'group_order': 560, 'label': '10B3', 'order': 10, 'powers': [17, 24, 3, 24], 'representative': 337, 'size': 2}
  • id: 138718326
    {'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 26, 'group_counter': 176, 'group_order': 560, 'label': '10C1', 'order': 10, 'powers': [17, 27, 4, 27], 'representative': 57, 'size': 2}
  • id: 138718327
    {'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 27, 'group_counter': 176, 'group_order': 560, 'label': '10C3', 'order': 10, 'powers': [18, 26, 4, 26], 'representative': 169, 'size': 2}
  • id: 138718328
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 28, 'group_counter': 176, 'group_order': 560, 'label': '10D1', 'order': 10, 'powers': [17, 29, 9, 29], 'representative': 20, 'size': 14}
  • id: 138718329
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 29, 'group_counter': 176, 'group_order': 560, 'label': '10D3', 'order': 10, 'powers': [18, 28, 9, 28], 'representative': 36, 'size': 14}
  • id: 138718331
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 30, 'group_counter': 176, 'group_order': 560, 'label': '10E1', 'order': 10, 'powers': [18, 31, 10, 31], 'representative': 12, 'size': 14}
  • id: 138718332
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 31, 'group_counter': 176, 'group_order': 560, 'label': '10E3', 'order': 10, 'powers': [17, 30, 10, 30], 'representative': 28, 'size': 14}
  • id: 138718333
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 32, 'group_counter': 176, 'group_order': 560, 'label': '10F1', 'order': 10, 'powers': [17, 33, 11, 33], 'representative': 21, 'size': 14}
  • id: 138718334
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 33, 'group_counter': 176, 'group_order': 560, 'label': '10F3', 'order': 10, 'powers': [18, 32, 11, 32], 'representative': 37, 'size': 14}
  • id: 138718335
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 34, 'group_counter': 176, 'group_order': 560, 'label': '10G1', 'order': 10, 'powers': [18, 35, 12, 35], 'representative': 13, 'size': 14}
  • id: 138718336
    {'aut_label': '10D1', 'centralizer': '14.c1', 'counter': 35, 'group_counter': 176, 'group_order': 560, 'label': '10G3', 'order': 10, 'powers': [17, 34, 12, 34], 'representative': 29, 'size': 14}
  • id: 138718337
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 36, 'group_counter': 176, 'group_order': 560, 'label': '14A1', 'order': 14, 'powers': [21, 37, 38, 2], 'representative': 40, 'size': 2}
  • id: 138718338
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 37, 'group_counter': 176, 'group_order': 560, 'label': '14A3', 'order': 14, 'powers': [20, 38, 36, 2], 'representative': 120, 'size': 2}
  • id: 138718339
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 38, 'group_counter': 176, 'group_order': 560, 'label': '14A5', 'order': 14, 'powers': [19, 36, 37, 2], 'representative': 200, 'size': 2}
  • id: 138718340
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 39, 'group_counter': 176, 'group_order': 560, 'label': '14B1', 'order': 14, 'powers': [19, 40, 41, 3], 'representative': 81, 'size': 2}
  • id: 138718342
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 40, 'group_counter': 176, 'group_order': 560, 'label': '14B3', 'order': 14, 'powers': [21, 41, 39, 3], 'representative': 241, 'size': 2}
  • id: 138718343
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 41, 'group_counter': 176, 'group_order': 560, 'label': '14B5', 'order': 14, 'powers': [20, 39, 40, 3], 'representative': 401, 'size': 2}
  • id: 138718344
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 42, 'group_counter': 176, 'group_order': 560, 'label': '14C1', 'order': 14, 'powers': [21, 43, 44, 4], 'representative': 41, 'size': 2}
  • id: 138718345
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 43, 'group_counter': 176, 'group_order': 560, 'label': '14C3', 'order': 14, 'powers': [20, 44, 42, 4], 'representative': 121, 'size': 2}
  • id: 138718346
    {'aut_label': '14A1', 'centralizer': '2.b1', 'counter': 44, 'group_counter': 176, 'group_order': 560, 'label': '14C5', 'order': 14, 'powers': [19, 42, 43, 4], 'representative': 201, 'size': 2}
  • id: 138718347
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 45, 'group_counter': 176, 'group_order': 560, 'label': '14D1', 'order': 14, 'powers': [19, 46, 47, 5], 'representative': 82, 'size': 10}
  • id: 138718348
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 46, 'group_counter': 176, 'group_order': 560, 'label': '14D3', 'order': 14, 'powers': [21, 47, 45, 5], 'representative': 18, 'size': 10}
  • id: 138718349
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 47, 'group_counter': 176, 'group_order': 560, 'label': '14D5', 'order': 14, 'powers': [20, 45, 46, 5], 'representative': 162, 'size': 10}
  • id: 138718350
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 48, 'group_counter': 176, 'group_order': 560, 'label': '14E1', 'order': 14, 'powers': [20, 49, 50, 6], 'representative': 10, 'size': 10}
  • id: 138718351
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 49, 'group_counter': 176, 'group_order': 560, 'label': '14E3', 'order': 14, 'powers': [19, 50, 48, 6], 'representative': 90, 'size': 10}
  • id: 138718353
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 50, 'group_counter': 176, 'group_order': 560, 'label': '14E5', 'order': 14, 'powers': [21, 48, 49, 6], 'representative': 42, 'size': 10}
  • id: 138718354
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 51, 'group_counter': 176, 'group_order': 560, 'label': '14F1', 'order': 14, 'powers': [19, 52, 53, 7], 'representative': 83, 'size': 10}
  • id: 138718355
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 52, 'group_counter': 176, 'group_order': 560, 'label': '14F3', 'order': 14, 'powers': [21, 53, 51, 7], 'representative': 19, 'size': 10}
  • id: 138718356
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 53, 'group_counter': 176, 'group_order': 560, 'label': '14F5', 'order': 14, 'powers': [20, 51, 52, 7], 'representative': 163, 'size': 10}
  • id: 138718357
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 54, 'group_counter': 176, 'group_order': 560, 'label': '14G1', 'order': 14, 'powers': [20, 55, 56, 8], 'representative': 11, 'size': 10}
  • id: 138718358
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 55, 'group_counter': 176, 'group_order': 560, 'label': '14G3', 'order': 14, 'powers': [19, 56, 54, 8], 'representative': 91, 'size': 10}
  • id: 138718359
    {'aut_label': '14D1', 'centralizer': '10.c1', 'counter': 56, 'group_counter': 176, 'group_order': 560, 'label': '14G5', 'order': 14, 'powers': [21, 54, 55, 8], 'representative': 43, 'size': 10}
  • id: 138718360
    {'aut_label': '35A1', 'centralizer': '4.d1', 'counter': 57, 'group_counter': 176, 'group_order': 560, 'label': '35A1', 'order': 35, 'powers': [58, 59, 21, 17], 'representative': 16, 'size': 4}
  • id: 138718361
    {'aut_label': '35A1', 'centralizer': '4.d1', 'counter': 58, 'group_counter': 176, 'group_order': 560, 'label': '35A2', 'order': 35, 'powers': [60, 57, 19, 18], 'representative': 32, 'size': 4}
  • id: 138718362
    {'aut_label': '35A1', 'centralizer': '4.d1', 'counter': 59, 'group_counter': 176, 'group_order': 560, 'label': '35A3', 'order': 35, 'powers': [57, 62, 20, 18], 'representative': 48, 'size': 4}
  • id: 138718364
    {'aut_label': '35A1', 'centralizer': '4.d1', 'counter': 60, 'group_counter': 176, 'group_order': 560, 'label': '35A4', 'order': 35, 'powers': [61, 58, 20, 17], 'representative': 64, 'size': 4}
  • id: 138718365
    {'aut_label': '35A1', 'centralizer': '4.d1', 'counter': 61, 'group_counter': 176, 'group_order': 560, 'label': '35A8', 'order': 35, 'powers': [62, 60, 21, 18], 'representative': 128, 'size': 4}
  • id: 138718366
    {'aut_label': '35A1', 'centralizer': '4.d1', 'counter': 62, 'group_counter': 176, 'group_order': 560, 'label': '35A9', 'order': 35, 'powers': [59, 61, 19, 17], 'representative': 144, 'size': 4}
  • id: 138718367
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 63, 'group_counter': 176, 'group_order': 560, 'label': '70A1', 'order': 70, 'powers': [57, 64, 36, 22], 'representative': 8, 'size': 4}
  • id: 138718368
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 64, 'group_counter': 176, 'group_order': 560, 'label': '70A3', 'order': 70, 'powers': [59, 65, 37, 23], 'representative': 24, 'size': 4}
  • id: 138718369
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 65, 'group_counter': 176, 'group_order': 560, 'label': '70A9', 'order': 70, 'powers': [62, 67, 38, 22], 'representative': 72, 'size': 4}
  • id: 138718370
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 66, 'group_counter': 176, 'group_order': 560, 'label': '70A11', 'order': 70, 'powers': [60, 68, 37, 22], 'representative': 88, 'size': 4}
  • id: 138718371
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 67, 'group_counter': 176, 'group_order': 560, 'label': '70A13', 'order': 70, 'powers': [61, 66, 36, 23], 'representative': 104, 'size': 4}
  • id: 138718372
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 68, 'group_counter': 176, 'group_order': 560, 'label': '70A23', 'order': 70, 'powers': [58, 63, 38, 23], 'representative': 184, 'size': 4}
  • id: 138718373
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 69, 'group_counter': 176, 'group_order': 560, 'label': '70B1', 'order': 70, 'powers': [58, 70, 39, 24], 'representative': 17, 'size': 4}
  • id: 138718375
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 70, 'group_counter': 176, 'group_order': 560, 'label': '70B3', 'order': 70, 'powers': [57, 71, 40, 25], 'representative': 49, 'size': 4}
  • id: 138718376
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 71, 'group_counter': 176, 'group_order': 560, 'label': '70B9', 'order': 70, 'powers': [59, 73, 41, 24], 'representative': 257, 'size': 4}
  • id: 138718377
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 72, 'group_counter': 176, 'group_order': 560, 'label': '70B11', 'order': 70, 'powers': [61, 74, 40, 24], 'representative': 65, 'size': 4}
  • id: 138718378
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 73, 'group_counter': 176, 'group_order': 560, 'label': '70B13', 'order': 70, 'powers': [62, 72, 39, 25], 'representative': 129, 'size': 4}
  • id: 138718379
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 74, 'group_counter': 176, 'group_order': 560, 'label': '70B23', 'order': 70, 'powers': [60, 69, 41, 25], 'representative': 33, 'size': 4}
  • id: 138718380
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 75, 'group_counter': 176, 'group_order': 560, 'label': '70C1', 'order': 70, 'powers': [57, 76, 42, 26], 'representative': 9, 'size': 4}
  • id: 138718381
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 76, 'group_counter': 176, 'group_order': 560, 'label': '70C3', 'order': 70, 'powers': [59, 77, 43, 27], 'representative': 25, 'size': 4}
  • id: 138718382
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 77, 'group_counter': 176, 'group_order': 560, 'label': '70C9', 'order': 70, 'powers': [62, 79, 44, 26], 'representative': 73, 'size': 4}
  • id: 138718383
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 78, 'group_counter': 176, 'group_order': 560, 'label': '70C11', 'order': 70, 'powers': [60, 80, 43, 26], 'representative': 89, 'size': 4}
  • id: 138718384
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 79, 'group_counter': 176, 'group_order': 560, 'label': '70C13', 'order': 70, 'powers': [61, 78, 42, 27], 'representative': 105, 'size': 4}
  • id: 138718386
    {'aut_label': '70A1', 'centralizer': '4.d1', 'counter': 80, 'group_counter': 176, 'group_order': 560, 'label': '70C23', 'order': 70, 'powers': [58, 75, 44, 27], 'representative': 185, 'size': 4}
• 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: 12302418
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1a', '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], 'schur_index': 1}
  • id: 12302429
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1b', '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], 'schur_index': 1}
  • id: 12302440
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 12302448
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 12302449
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 12302450
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 12302451
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 12302452
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 12302453
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1i', '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], 'schur_index': 1}
  • id: 12302419
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1j', '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], 'schur_index': 1}
  • id: 12302420
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1k', '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], 'schur_index': 1}
  • id: 12302421
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1l', '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], 'schur_index': 1}
  • id: 12302422
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1m', '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], 'schur_index': 1}
  • id: 12302423
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1n', '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], 'schur_index': 1}
  • id: 12302424
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1o', '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], 'schur_index': 1}
  • id: 12302425
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.1p', '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], 'schur_index': 1}
  • id: 12302426
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2a', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12302427
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2b', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 4, -4, 4, -4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 12302428
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2c', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 4, -4, 4, -4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 12302430
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2d', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -4, 4, -4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -4, 4, -4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 12302431
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2e', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, -4, 4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -4, 4, -4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 12302432
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2f', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -4, -4, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12302433
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2g', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -4, -4, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12302434
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2h', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12302435
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2i', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12302436
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2j', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, -6, 6, -6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 12302437
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2k', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 12302438
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2l', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, 6, -6, -6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 12302439
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2m', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, 6, -6, 6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 12302441
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2n', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12302442
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2o', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
  • id: 12302443
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.2p', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -1, -1, -1, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12302444
    {'cdim': 4, 'counter': 33, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.4a', 'multiplicity': 6, 'nt': [35, 7], 'qdim': 24, 'qvalues': [24, 24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -4, -4, -4, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12302445
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.4b', 'multiplicity': 6, 'nt': [70, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -4, -4, -4, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 12302446
    {'cdim': 4, 'counter': 35, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.4c', 'multiplicity': 6, 'nt': [70, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -4, -4, -4, 6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 12302447
    {'cdim': 4, 'counter': 36, 'faithful': False, 'group': '560.176', 'group_order': 560, 'image': None, 'label': '560.176.4d', 'multiplicity': 6, 'nt': [70, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -4, -4, -4, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1], '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: 28574049
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 560, 'label': '560.176.1a', '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]]]}
  • id: 28574060
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1b', '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]]]}
  • id: 28574071
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 28574082
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 28574093
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  • id: 28574104
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 28574115
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  • id: 28574126
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 28574128
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1i', '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]]]}
  • id: 28574050
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1j', '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]]]}
  • id: 28574051
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1k', '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]]]}
  • id: 28574052
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1l', '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]]]}
  • id: 28574053
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 280, 'label': '560.176.1m', '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]]]}
  • id: 28574054
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 280, 'label': '560.176.1n', '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]]]}
  • id: 28574055
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 280, 'label': '560.176.1o', '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]]]}
  • id: 28574056
    {'center': '1.a1', 'center_index': 1, 'center_order': 560, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 280, 'label': '560.176.1p', '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]]]}
  • id: 28574057
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 17, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 56, 'label': '560.176.2a1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 28574058
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 18, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 56, 'label': '560.176.2a2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 28574059
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 19, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2b1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 28574061
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 20, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2b2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 28574062
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 21, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2c1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 28574063
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 22, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2c2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 28574064
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 23, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2d1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 28574065
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 24, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2d2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 28574066
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 25, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2e1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 28574067
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 26, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2e2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 28574068
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 27, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2f1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 28574069
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 28, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2f2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 28574070
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 29, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2g1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 28574072
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 30, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 28, 'label': '560.176.2g2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 28574073
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 31, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1', 'kernel_order': 28, 'label': '560.176.2h1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 28574074
    {'center': '10.a1', 'center_index': 10, 'center_order': 56, 'counter': 32, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1', 'kernel_order': 28, 'label': '560.176.2h2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 28574075
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 33, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 40, 'label': '560.176.2i1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 28574076
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 34, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 40, 'label': '560.176.2i2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 28574077
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 35, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 40, 'label': '560.176.2i3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 28574078
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 36, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2j1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]]]}
  • id: 28574079
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 37, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2j2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]]]}
  • id: 28574080
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 38, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2j3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]]]}
  • id: 28574081
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 39, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2k1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]]]}
  • id: 28574083
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 40, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2k2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]]]}
  • id: 28574084
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 41, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2k3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]]]}
  • id: 28574085
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 42, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2l1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 28574086
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 43, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2l2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 28574087
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 44, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2l3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 28574088
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 45, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2m1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 28574089
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 46, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2m2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 28574090
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 47, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2m3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 28574091
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 48, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2n1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 28574092
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 49, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2n2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 28574094
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 50, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2n3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 28574095
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 51, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2o1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 28574096
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 52, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2o2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 28574097
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 53, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 20, 'label': '560.176.2o3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 28574098
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 54, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 20, 'label': '560.176.2p1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 28574099
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 55, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 20, 'label': '560.176.2p2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 28574100
    {'center': '14.a1', 'center_index': 14, 'center_order': 40, 'counter': 56, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 20, 'label': '560.176.2p3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 28574101
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 57, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '140.7', 'image_order': 140, 'indicator': 1, 'kernel': '140.a1', 'kernel_order': 4, 'label': '560.176.4a1', 'nt': [35, 7], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]]]}
  • id: 28574102
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 58, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '140.7', 'image_order': 140, 'indicator': 1, 'kernel': '140.a1', 'kernel_order': 4, 'label': '560.176.4a2', 'nt': [35, 7], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]]]}
  • id: 28574103
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 59, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '140.7', 'image_order': 140, 'indicator': 1, 'kernel': '140.a1', 'kernel_order': 4, 'label': '560.176.4a3', 'nt': [35, 7], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]]]}
  • id: 28574105
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 60, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '140.7', 'image_order': 140, 'indicator': 1, 'kernel': '140.a1', 'kernel_order': 4, 'label': '560.176.4a4', 'nt': [35, 7], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]]]}
  • id: 28574106
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 61, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '140.7', 'image_order': 140, 'indicator': 1, 'kernel': '140.a1', 'kernel_order': 4, 'label': '560.176.4a5', 'nt': [35, 7], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]]]}
  • id: 28574107
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 62, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '140.7', 'image_order': 140, 'indicator': 1, 'kernel': '140.a1', 'kernel_order': 4, 'label': '560.176.4a6', 'nt': [35, 7], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]]]}
  • id: 28574108
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 63, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4b1', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]]]}
  • id: 28574109
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 64, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4b2', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]]]}
  • id: 28574110
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 65, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4b3', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]]]}
  • id: 28574111
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 66, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4b4', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]]]}
  • id: 28574112
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 67, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4b5', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]]]}
  • id: 28574113
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 68, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4b6', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]]]}
  • id: 28574114
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 69, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4c1', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]]]}
  • id: 28574116
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 70, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4c2', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]]]}
  • id: 28574117
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4c3', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]]]}
  • id: 28574118
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4c4', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 10], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]]]}
  • id: 28574119
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4c5', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]]]}
  • id: 28574120
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4c6', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]]]}
  • id: 28574121
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4d1', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]]]}
  • id: 28574122
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 76, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4d2', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]]]}
  • id: 28574123
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 77, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4d3', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]]]}
  • id: 28574124
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4d4', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 10], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]]]}
  • id: 28574125
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4d5', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 5], [2, -5]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]]]}
  • id: 28574127
    {'center': '140.a1', 'center_index': 140, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 35, 'dim': 4, 'faithful': False, 'field': [-1, -2, 7, 2, -7, -1, 1], 'group': '560.176', 'group_counter': 176, 'group_order': 560, 'image': None, 'image_isoclass': '280.36', 'image_order': 280, 'indicator': 1, 'kernel': '280.a1', 'kernel_order': 2, 'label': '560.176.4d6', 'nt': [70, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[-2, 14], [-2, -14]], [[-2, 7], [-2, -7]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[-2, 10], [-2, -10]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[1, 0], [-1, 4], [1, 5], [1, 7], [-1, 8], [-1, 9], [1, 10], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]], [[1, 3], [-1, 5], [1, 8], [1, 9], [-1, 12], [1, 13], [1, 16], [1, -17], [1, -12], [1, -7]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 3], [1, 5], [-1, 8], [-1, 9], [1, 12], [-1, 13], [-1, 16], [-1, -17], [-1, -12], [-1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[-1, 2], [1, 3], [-1, 4], [-1, 9], [-1, 11], [-1, 16], [1, 17], [-1, -12], [-1, -10], [-1, -5]], [[1, 4], [-1, 7], [1, 8], [1, 9], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12], [1, -10], [1, -5]], [[-1, 3], [1, 4], [-1, 10], [1, 11], [-1, 17]], [[-1, 0], [1, 4], [-1, 5], [-1, 7], [1, 8], [1, 9], [-1, 10], [1, 11], [-1, 12], [1, 13], [1, 16], [-1, 17], [1, -17], [1, -12]], [[1, 3], [-1, 4], [1, 10], [-1, 11], [1, 17]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[-1, 2], [1, 3], [1, 8], [-1, 12], [1, 13], [1, -17], [1, -7]], [[1, 2], [-1, 3], [1, 4], [1, 9], [1, 11], [1, 16], [-1, 17], [1, -12], [1, -10], [1, -5]], [[1, 2], [-1, 3], [-1, 8], [1, 12], [-1, 13], [-1, -17], [-1, -7]], [[-1, 4], [1, 7], [-1, 8], [-1, 9], [-1, 11], [1, 12], [-1, 13], [-1, 16], [1, 17], [-1, -17], [-1, -12], [-1, -10], [-1, -5]]]}
• 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: 108148114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 560, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 70, 'label': '560.176.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '560.176', 'subgroup_hash': 176, 'subgroup_order': 560, 'subgroup_tex': 'D_{10}\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148125
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 280, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '280.36', 'subgroup_hash': 36, 'subgroup_order': 280, 'subgroup_tex': 'D_5\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148136
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 280, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '280.38', 'subgroup_hash': 38, 'subgroup_order': 280, 'subgroup_tex': 'C_{14}\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 280, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '280.37', 'subgroup_hash': 37, 'subgroup_order': 280, 'subgroup_tex': 'C_{10}\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 280, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '280.39', 'subgroup_hash': 39, 'subgroup_order': 280, 'subgroup_tex': 'C_2\\times D_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 108148169
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 140, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '140.9', 'subgroup_hash': 9, 'subgroup_order': 140, 'subgroup_tex': 'C_7\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148171
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 140, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '140.8', 'subgroup_hash': 8, 'subgroup_order': 140, 'subgroup_tex': 'C_5\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148172
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 140, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '140.10', 'subgroup_hash': 10, 'subgroup_order': 140, 'subgroup_tex': 'D_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 108148173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 140, 'characteristic': True, 'core_order': 140, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '140.11', 'subgroup_hash': 11, 'subgroup_order': 140, 'subgroup_tex': 'C_2\\times C_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 108148115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 140, 'counter': 10, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '140.7', 'subgroup_hash': 7, 'subgroup_order': 140, 'subgroup_tex': 'D_5\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 108148116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '560.176.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.42', 'subgroup_hash': 42, 'subgroup_order': 112, 'subgroup_tex': 'C_2^2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '560.176.7.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148118
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 140, 'characteristic': False, 'core_order': 70, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '560.176.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
  • id: 108148119
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 70, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.1', 'subgroup_hash': 1, 'subgroup_order': 70, 'subgroup_tex': 'C_7\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 108148120
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 70, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.2', 'subgroup_hash': 2, 'subgroup_order': 70, 'subgroup_tex': 'C_5\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 108148121
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 70, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.3', 'subgroup_hash': 3, 'subgroup_order': 70, 'subgroup_tex': 'D_{35}', 'supersolvable': True, 'sylow': 0}
  • id: 108148122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': True, 'core_order': 56, 'counter': 17, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.13', 'subgroup_hash': 13, 'subgroup_order': 56, 'subgroup_tex': 'C_2^2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148126
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148127
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 56, 'characteristic': True, 'core_order': 40, 'counter': 21, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.14.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148128
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.14.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.14.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.14.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148131
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 140, 'characteristic': True, 'core_order': 35, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 35, 'label': '560.176.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
  • id: 108148132
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': False, 'core_order': 28, 'counter': 26, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 280, 'characteristic': True, 'core_order': 28, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148134
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 14, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148135
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148138
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 56, 'characteristic': False, 'core_order': 20, 'counter': 31, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.28.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 280, 'characteristic': True, 'core_order': 20, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '560.176.28.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.28.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 10, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.28.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 10, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.28.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148143
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '560.176.35.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '35.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 2}
  • id: 108148144
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 280, 'characteristic': False, 'core_order': 14, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '560.176.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148145
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': False, 'core_order': 14, 'counter': 38, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 108148146
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 7, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '560.176.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 108148148
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 7, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 108148149
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 280, 'characteristic': False, 'core_order': 10, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '560.176.56.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 108148150
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 56, 'characteristic': False, 'core_order': 10, 'counter': 42, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.56.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 108148151
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 5, 'counter': 43, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '560.176.56.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, '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: 108148152
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 5, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.56.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, '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': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 108148153
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.70.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 108148154
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.70.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 108148155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.70.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 108148156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.70.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 108148157
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 280, 'characteristic': True, 'core_order': 7, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '560.176.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{10}', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 108148159
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 280, 'characteristic': True, 'core_order': 5, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '560.176.112.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '112.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 108148160
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 560, 'characteristic': True, 'core_order': 4, 'counter': 51, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '560.176.140.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '140.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times D_7', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 108148161
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.140.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 108148162
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.140.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 108148163
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.140.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 108148164
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '560.176.140.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 108148165
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 560, 'characteristic': False, 'core_order': 2, 'counter': 56, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '560.176.280.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '280.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '280.36', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 280, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times D_{14}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 108148166
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '560.176.280.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 108148167
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '560.176.280.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 108148168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '560.176.280.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 108148170
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '560.176', 'ambient_counter': 176, 'ambient_order': 560, 'ambient_tex': 'D_{10}\\times D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 560, 'characteristic': True, 'core_order': 1, 'counter': 60, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '560.176.560.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '560.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '560.176', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 176, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 560, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 108148114
    {'ambient': '560.176', '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': '140.a1', 'complements': ['560.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '5.a1', '7.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7882, 4721, 6410, 5450], 'generators': [1, 80, 4, 280, 2, 336], 'label': '560.176.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '140.7'}
  • id: 108148115
    {'ambient': '560.176', 'aut_centralizer_order': 6, 'aut_label': '4.e1', 'aut_quo_index': 1, 'aut_stab_index': 16, 'aut_weyl_group': '840.139', 'aut_weyl_index': 96, 'centralizer': '140.a1', 'complements': ['140.b1', '140.d1', '140.e1', '140.a1', '140.c1'], 'conjugacy_class_count': 16, 'contained_in': ['2.a1'], 'contains': ['8.b1', '8.c1', '8.d1', '20.e1', '28.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [1639, 6183, 959, 585], 'generators': [3, 336, 80, 4], 'label': '560.176.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.b1', '8.c1', '8.d1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '560.176', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '140.7'}
  • id: 108148116
    {'ambient': '560.176', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '4032.dd', 'aut_weyl_index': 20, 'centralizer': '70.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '35.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9340, -1, 7642, -1], 'generators': [1, 4, 280, 2, 80], 'label': '560.176.5.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148117
    {'ambient': '560.176', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1920.240397', 'aut_weyl_index': 42, 'centralizer': '70.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['14.a1', '14.b1', '14.c1', '14.d1', '35.a1'], 'core': '14.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7892, -1, 8453, -1], 'generators': [1, 4, 280, 2, 336], 'label': '560.176.7.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '7.a1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148118
    {'ambient': '560.176', 'aut_centralizer_order': 1120, 'aut_label': '8.a1', 'aut_quo_index': 42, 'aut_stab_index': 3, 'aut_weyl_group': '24.9', 'aut_weyl_index': 3360, 'centralizer': '4.d1', 'complements': ['70.a1'], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '40.a1', '56.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4122, 3603, 2555, 5194], 'generators': [1, 80, 336], 'label': '560.176.8.a1', 'mobius_quo': -1, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '40.a1', '56.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '280.36', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 108148119
    {'ambient': '560.176', 'aut_centralizer_order': 168, 'aut_label': '8.b1', 'aut_quo_index': 7, 'aut_stab_index': 4, 'aut_weyl_group': '120.40', 'aut_weyl_index': 672, 'centralizer': '20.b1', 'complements': ['70.a1', '70.c1', '70.d1'], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.e1'], 'contains': ['16.a1', '40.c1', '56.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1328, 7247, 264, 4083], 'generators': [3, 336, 80], 'label': '560.176.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.e1'], 'normal_contains': ['16.a1', '56.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '560.176', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 108148120
    {'ambient': '560.176', 'aut_centralizer_order': 120, 'aut_label': '8.c1', 'aut_quo_index': 7, 'aut_stab_index': 4, 'aut_weyl_group': '168.8', 'aut_weyl_index': 480, 'centralizer': '28.b1', 'complements': ['70.a1', '70.b1', '70.d1'], 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '4.e1'], 'contains': ['16.a1', '40.b1', '56.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [709, 4818, 871, 988], 'generators': [5, 80, 336], 'label': '560.176.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.e1'], 'normal_contains': ['16.a1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '560.176', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 108148121
    {'ambient': '560.176', 'aut_centralizer_order': 24, 'aut_label': '8.d1', 'aut_quo_index': 7, 'aut_stab_index': 4, 'aut_weyl_group': '840.139', 'aut_weyl_index': 96, 'centralizer': '140.a1', 'complements': ['70.a1', '70.c1', '70.b1'], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.e1'], 'contains': ['16.a1', '40.d1', '56.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [2239, 6033, 1372, 2098], 'generators': [7, 80, 336], 'label': '560.176.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.c1', '4.e1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '560.176', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '140.7'}
  • id: 108148122
    {'ambient': '560.176', 'aut_centralizer_order': 80, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1008.886', 'aut_weyl_index': 80, 'centralizer': '14.a1', 'complements': ['56.b1', '56.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.a1', '20.b1', '70.c1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7006, 753, 6410, 4536], 'generators': [1, 280, 80, 4], 'label': '560.176.10.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['20.a1', '20.b1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '140.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.1', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148123
    {'ambient': '560.176', 'aut_centralizer_order': 8, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '168.47', 'aut_weyl_index': 480, 'centralizer': '70.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.c1', '20.d1', '20.e1', '70.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 60, 'diagramx': [5454, -1, 3468, -1], 'generators': [1, 4, 80, 2], 'label': '560.176.10.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148124
    {'ambient': '560.176', 'aut_centralizer_order': 112, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '144.188', 'aut_weyl_index': 560, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.b1', '20.c1', '70.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [8839, -1, 5653, -1], 'generators': [1, 280, 80, 2], 'label': '560.176.10.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.c1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148125
    {'ambient': '560.176', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '140.a1', 'complements': ['280.a1', '280.c1', '280.b1', '280.d1'], 'conjugacy_class_count': 12, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '4.e1', '10.b1', '14.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4325, 5785, 2918, 2197], 'generators': [1, 4, 336, 2, 80], 'label': '560.176.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '4.e1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '280.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '140.7'}
  • id: 108148126
    {'ambient': '560.176', 'aut_centralizer_order': 16, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '1008.886', 'aut_weyl_index': 80, 'centralizer': '70.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.b1', '20.d1', '70.d1'], 'core': '20.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [9783, -1, 7811, -1], 'generators': [1, 280, 80, 6], 'label': '560.176.10.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148127
    {'ambient': '560.176', 'aut_centralizer_order': 168, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.1189', 'aut_weyl_index': 168, 'centralizer': '10.a1', 'complements': ['40.b1', '40.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '7.a1'], 'contains': ['28.a1', '28.b1', '70.b1'], 'core': '14.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7828, 9247, 7111, 9312], 'generators': [1, 280, 336, 2], 'label': '560.176.14.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['28.a1', '28.b1'], 'normalizer': '1.a1', 'old_label': '14.a1', 'projective_image': '140.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '14.1', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '14.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148128
    {'ambient': '560.176', 'aut_centralizer_order': 12, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1008, 'centralizer': '70.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '7.a1'], 'contains': ['28.a1', '28.c1', '28.d1', '28.e1', '70.a1'], 'core': '28.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [3711, -1, 4168, -1], 'generators': [1, 4, 336, 2], 'label': '560.176.14.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.b1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148129
    {'ambient': '560.176', 'aut_centralizer_order': 120, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.186', 'aut_weyl_index': 840, 'centralizer': '14.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '7.a1'], 'contains': ['28.b1', '28.c1', '70.c1'], 'core': '28.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [6370, -1, 8569, -1], 'generators': [1, 280, 336, 4], 'label': '560.176.14.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.c1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148130
    {'ambient': '560.176', 'aut_centralizer_order': 24, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '480.1189', 'aut_weyl_index': 168, 'centralizer': '70.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '7.a1'], 'contains': ['28.b1', '28.d1', '70.d1'], 'core': '28.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [8541, -1, 9326, -1], 'generators': [1, 280, 336, 6], 'label': '560.176.14.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.d1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148131
    {'ambient': '560.176', 'aut_centralizer_order': 3360, 'aut_label': '16.a1', 'aut_quo_index': 210, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 3360, 'centralizer': '4.d1', 'complements': ['35.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1'], 'contains': ['80.a1', '112.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1291, 5861, 1088, 4083], 'generators': [336, 80], 'label': '560.176.16.a1', 'mobius_quo': 1, 'mobius_sub': 64, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1'], 'normal_contains': ['80.a1', '112.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '560.176', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 108148132
    {'ambient': '560.176', 'aut_centralizer_order': 160, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 960, 'centralizer': '14.a1', 'complements': ['28.a1', '28.d1', '28.e1'], 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '10.a1', '10.b1'], 'contains': ['40.a1', '40.b1', '140.c1'], 'core': '20.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4785, 2473, 3672, 2973], 'generators': [1, 80, 4], 'label': '560.176.20.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.a1', 'normal_contained_in': ['4.b1', '10.a1'], 'normal_contains': ['40.a1', '40.b1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '280.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.4', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148133
    {'ambient': '560.176', 'aut_centralizer_order': 2240, 'aut_label': '20.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '36.12', 'aut_weyl_index': 2240, 'centralizer': '2.b1', 'complements': ['28.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '10.a1', '10.c1', '10.d1'], 'contains': ['40.a1', '140.a1'], 'core': '20.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8045, 1118, 6504, 6432], 'generators': [1, 80, 280], 'label': '560.176.20.b1', 'mobius_quo': -2, 'mobius_sub': -10, 'normal_closure': '20.b1', 'normal_contained_in': ['4.d1', '10.a1'], 'normal_contains': ['40.a1', '140.a1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '140.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.1', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148134
    {'ambient': '560.176', 'aut_centralizer_order': 224, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '12.5', 'aut_weyl_index': 6720, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '10.b1', '10.c1'], 'contains': ['40.a1', '40.c1', '140.b1'], 'core': '40.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [6103, -1, 3113, -1], 'generators': [1, 80, 2], 'label': '560.176.20.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.c1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148135
    {'ambient': '560.176', 'aut_centralizer_order': 32, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '84.7', 'aut_weyl_index': 960, 'centralizer': '70.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '10.b1', '10.d1'], 'contains': ['40.a1', '40.d1', '140.d1'], 'core': '40.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [5535, -1, 4460, -1], 'generators': [1, 80, 6], 'label': '560.176.20.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.d1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148136
    {'ambient': '560.176', 'aut_centralizer_order': 28, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2880.fr', 'aut_weyl_index': 28, 'centralizer': '20.b1', 'complements': ['280.c1', '280.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '10.c1', '14.a1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7404, 8205, 4882, 8575], 'generators': [1, 280, 80, 2, 336], 'label': '560.176.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '14.a1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '140.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 108148137
    {'ambient': '560.176', 'aut_centralizer_order': 24, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '42.1', 'aut_weyl_index': 1920, 'centralizer': '70.b1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['4.e1', '10.b1'], 'contains': ['40.b1', '40.c1', '40.d1', '140.e1'], 'core': '40.b1', 'coset_action_label': None, 'count': 80, 'diagramx': [2185, -1, 1766, -1], 'generators': [3, 80, 4], 'label': '560.176.20.e1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.e1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148138
    {'ambient': '560.176', 'aut_centralizer_order': 336, 'aut_label': '28.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2016, 'centralizer': '10.a1', 'complements': ['20.a1', '20.d1', '20.e1'], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '14.a1', '14.b1'], 'contains': ['56.a1', '56.b1', '140.b1'], 'core': '28.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3580, 8194, 4066, 7671], 'generators': [1, 336, 2], 'label': '560.176.28.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1', 'normal_contained_in': ['4.a1', '14.a1'], 'normal_contains': ['56.a1', '56.b1'], 'normalizer': '1.a1', 'old_label': '28.a1', 'projective_image': '280.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '28.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148139
    {'ambient': '560.176', 'aut_centralizer_order': 3360, 'aut_label': '28.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.5', 'aut_weyl_index': 3360, 'centralizer': '2.c1', 'complements': ['20.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '14.a1', '14.c1', '14.d1'], 'contains': ['56.a1', '140.a1'], 'core': '28.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6790, 5882, 7226, 8909], 'generators': [1, 336, 280], 'label': '560.176.28.b1', 'mobius_quo': -2, 'mobius_sub': -14, 'normal_closure': '28.b1', 'normal_contained_in': ['4.d1', '14.a1'], 'normal_contains': ['56.a1', '140.a1'], 'normalizer': '1.a1', 'old_label': '28.b1', 'projective_image': '140.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.1', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148140
    {'ambient': '560.176', 'aut_centralizer_order': 240, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10080, 'centralizer': '14.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '14.b1', '14.c1'], 'contains': ['56.a1', '56.c1', '140.c1'], 'core': '56.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [3011, -1, 5019, -1], 'generators': [1, 336, 4], 'label': '560.176.28.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.c1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148141
    {'ambient': '560.176', 'aut_centralizer_order': 48, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2016, 'centralizer': '70.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '14.b1', '14.d1'], 'contains': ['56.a1', '56.d1', '140.d1'], 'core': '56.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [4501, -1, 5577, -1], 'generators': [1, 336, 6], 'label': '560.176.28.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.d1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148142
    {'ambient': '560.176', 'aut_centralizer_order': 36, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 112, 'aut_weyl_group': '20.3', 'aut_weyl_index': 4032, 'centralizer': '70.c1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['4.e1', '14.b1'], 'contains': ['56.b1', '56.c1', '56.d1', '140.e1'], 'core': '56.b1', 'coset_action_label': None, 'count': 112, 'diagramx': [714, -1, 2160, -1], 'generators': [3, 336, 4], 'label': '560.176.28.e1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.e1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148143
    {'ambient': '560.176', 'aut_centralizer_order': 24, 'aut_label': '35.a1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '96.227', 'aut_weyl_index': 840, 'centralizer': '35.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '7.a1'], 'contains': ['70.a1', '70.b1', '70.c1', '70.d1'], 'core': '140.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [9670, -1, 9858, -1], 'generators': [1, 2, 4, 280], 'label': '560.176.35.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1', 'old_label': '35.a1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148144
    {'ambient': '560.176', 'aut_centralizer_order': 4480, 'aut_label': '40.a1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '6.2', 'aut_weyl_index': 13440, 'centralizer': '2.b1', 'complements': ['14.b1'], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1'], 'contains': ['80.a1', '280.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5412, 2527, 3898, 4948], 'generators': [1, 80], 'label': '560.176.40.a1', 'mobius_quo': 1, 'mobius_sub': 40, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1'], 'normal_contains': ['80.a1', '280.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '280.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.4', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148145
    {'ambient': '560.176', 'aut_centralizer_order': 480, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '42.1', 'aut_weyl_index': 1920, 'centralizer': '14.a1', 'complements': ['14.b1', '14.a1', '14.d1'], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '20.a1', '20.e1'], 'contains': ['80.a1', '280.c1'], 'core': '40.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1774, 3387, 1833, 2973], 'generators': [5, 80], 'label': '560.176.40.b1', 'mobius_quo': 0, 'mobius_sub': 40, 'normal_closure': '40.b1', 'normal_contained_in': ['8.c1', '20.a1'], 'normal_contains': ['80.a1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '560.176', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.4', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148146
    {'ambient': '560.176', 'aut_centralizer_order': 672, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '6.2', 'aut_weyl_index': 13440, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '20.c1', '20.e1'], 'contains': ['80.a1', '280.b1'], 'core': '80.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [2307, -1, 1478, -1], 'generators': [3, 80], 'label': '560.176.40.c1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.c1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148147
    {'ambient': '560.176', 'aut_centralizer_order': 20, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4032.du', 'aut_weyl_index': 20, 'centralizer': '28.b1', 'complements': ['280.b1', '280.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.d1', '10.a1', '14.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6280, 1376, 5941, 4408], 'generators': [1, 280, 336, 4, 80], 'label': '560.176.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.d1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '140.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 108148148
    {'ambient': '560.176', 'aut_centralizer_order': 96, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '42.1', 'aut_weyl_index': 1920, 'centralizer': '70.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '20.d1', '20.e1'], 'contains': ['80.a1', '280.d1'], 'core': '80.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [2899, -1, 2471, -1], 'generators': [7, 80], 'label': '560.176.40.d1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.d1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 108148149
    {'ambient': '560.176', 'aut_centralizer_order': 6720, 'aut_label': '56.a1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20160, 'centralizer': '2.c1', 'complements': ['10.b1'], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '28.a1', '28.b1', '28.c1', '28.d1'], 'contains': ['112.a1', '280.a1'], 'core': '56.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4099, 5882, 4288, 6521], 'generators': [1, 336], 'label': '560.176.56.a1', 'mobius_quo': 1, 'mobius_sub': 56, 'normal_closure': '56.a1', 'normal_contained_in': ['8.a1', '28.a1', '28.b1'], 'normal_contains': ['112.a1', '280.a1'], 'normalizer': '1.a1', 'old_label': '56.a1', 'projective_image': '280.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148150
    {'ambient': '560.176', 'aut_centralizer_order': 1008, 'aut_label': '56.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '20.3', 'aut_weyl_index': 4032, 'centralizer': '10.a1', 'complements': ['10.b1', '10.a1', '10.d1'], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '28.a1', '28.e1'], 'contains': ['112.a1', '280.b1'], 'core': '56.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [668, 7559, 2152, 5735], 'generators': [3, 336], 'label': '560.176.56.b1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.b1', 'normal_contained_in': ['8.b1', '28.a1'], 'normal_contains': ['112.a1'], 'normalizer': '1.a1', 'old_label': '56.b1', 'projective_image': '560.176', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148151
    {'ambient': '560.176', 'aut_centralizer_order': 720, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20160, 'centralizer': '14.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '28.c1', '28.e1'], 'contains': ['112.a1', '280.c1'], 'core': '112.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [158, -1, 2825, -1], 'generators': [5, 336], 'label': '560.176.56.c1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.c1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148152
    {'ambient': '560.176', 'aut_centralizer_order': 144, 'aut_label': '56.d1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '20.3', 'aut_weyl_index': 4032, 'centralizer': '70.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '28.d1', '28.e1'], 'contains': ['112.a1', '280.d1'], 'core': '112.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [1164, -1, 3180, -1], 'generators': [7, 336], 'label': '560.176.56.d1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.d1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 108148153
    {'ambient': '560.176', 'aut_centralizer_order': 48, 'aut_label': '70.a1', 'aut_quo_index': None, 'aut_stab_index': 420, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20160, 'centralizer': '35.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['10.b1', '14.b1', '35.a1'], 'contains': ['140.b1', '140.c1', '140.d1', '140.e1'], 'core': '280.a1', 'coset_action_label': None, 'count': 420, 'diagramx': [6334, -1, 5959, -1], 'generators': [1, 2, 4], 'label': '560.176.70.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1', 'old_label': '70.a1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148154
    {'ambient': '560.176', 'aut_centralizer_order': 672, 'aut_label': '70.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '24.12', 'aut_weyl_index': 3360, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.c1', '14.a1', '35.a1'], 'contains': ['140.a1', '140.b1'], 'core': '140.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9156, -1, 7771, -1], 'generators': [1, 2, 280], 'label': '560.176.70.b1', 'mobius_quo': None, 'mobius_sub': -7, 'normal_closure': '14.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '70.b1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148155
    {'ambient': '560.176', 'aut_centralizer_order': 480, 'aut_label': '70.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '24.12', 'aut_weyl_index': 3360, 'centralizer': '7.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '14.c1', '35.a1'], 'contains': ['140.a1', '140.c1'], 'core': '140.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7417, -1, 8134, -1], 'generators': [1, 4, 280], 'label': '560.176.70.c1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '70.c1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148156
    {'ambient': '560.176', 'aut_centralizer_order': 96, 'aut_label': '70.d1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '24.12', 'aut_weyl_index': 3360, 'centralizer': '35.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.d1', '14.d1', '35.a1'], 'contains': ['140.a1', '140.d1'], 'core': '140.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [9842, -1, 8498, -1], 'generators': [1, 6, 280], 'label': '560.176.70.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1', 'old_label': '70.d1', 'projective_image': '140.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148157
    {'ambient': '560.176', 'aut_centralizer_order': 13440, 'aut_label': '80.a1', 'aut_quo_index': 14, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 13440, 'centralizer': '2.b1', 'complements': ['7.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1'], 'contains': ['560.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1828, 4409, 2041, 4516], 'generators': [80], 'label': '560.176.80.a1', 'mobius_quo': -1, 'mobius_sub': -320, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1'], 'normal_contains': ['560.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '560.176', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.13', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148158
    {'ambient': '560.176', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '140.a1', 'complements': ['280.c1', '280.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '10.d1', '14.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [8361, 3656, 6880, 6491], 'generators': [1, 280, 336, 6, 80], 'label': '560.176.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '140.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '140.7'}
  • id: 108148159
    {'ambient': '560.176', 'aut_centralizer_order': 20160, 'aut_label': '112.a1', 'aut_quo_index': 14, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20160, 'centralizer': '2.c1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '56.a1', '56.b1', '56.c1', '56.d1'], 'contains': ['560.a1'], 'core': '112.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [718, 6710, 2564, 5735], 'generators': [336], 'label': '560.176.112.a1', 'mobius_quo': -1, 'mobius_sub': -448, 'normal_closure': '112.a1', 'normal_contained_in': ['16.a1', '56.a1', '56.b1'], 'normal_contains': ['560.a1'], 'normalizer': '1.a1', 'old_label': '112.a1', 'projective_image': '560.176', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.12', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 108148160
    {'ambient': '560.176', 'aut_centralizer_order': 13440, 'aut_label': '140.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 13440, 'centralizer': '1.a1', 'complements': ['4.e1'], 'conjugacy_class_count': 1, 'contained_in': ['20.b1', '28.b1', '70.b1', '70.c1', '70.d1'], 'contains': ['280.a1'], 'core': '140.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7674, 3946, 7496, 7356], 'generators': [1, 280], 'label': '560.176.140.a1', 'mobius_quo': 2, 'mobius_sub': 70, 'normal_closure': '140.a1', 'normal_contained_in': ['20.b1', '28.b1'], 'normal_contains': ['280.a1'], 'normalizer': '1.a1', 'old_label': '140.a1', 'projective_image': '140.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '140.7', 'quotient_action_kernel_order': 140, 'quotient_fusion': None, 'short_label': '140.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148161
    {'ambient': '560.176', 'aut_centralizer_order': 1344, 'aut_label': '140.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40320, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['20.c1', '28.a1', '70.a1', '70.b1'], 'contains': ['280.a1', '280.b1'], 'core': '280.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [6456, -1, 4664, -1], 'generators': [1, 2], 'label': '560.176.140.b1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '140.b1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148162
    {'ambient': '560.176', 'aut_centralizer_order': 960, 'aut_label': '140.c1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40320, 'centralizer': '7.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['20.a1', '28.c1', '70.a1', '70.c1'], 'contains': ['280.a1', '280.c1'], 'core': '280.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [4957, -1, 5028, -1], 'generators': [1, 4], 'label': '560.176.140.c1', 'mobius_quo': None, 'mobius_sub': 10, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '140.c1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148163
    {'ambient': '560.176', 'aut_centralizer_order': 192, 'aut_label': '140.d1', 'aut_quo_index': None, 'aut_stab_index': 210, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40320, 'centralizer': '35.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['20.d1', '28.d1', '70.a1', '70.d1'], 'contains': ['280.a1', '280.d1'], 'core': '280.a1', 'coset_action_label': None, 'count': 210, 'diagramx': [5864, -1, 5480, -1], 'generators': [1, 6], 'label': '560.176.140.d1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1', 'old_label': '140.d1', 'projective_image': '280.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148164
    {'ambient': '560.176', 'aut_centralizer_order': 144, 'aut_label': '140.e1', 'aut_quo_index': None, 'aut_stab_index': 560, 'aut_weyl_group': '1.1', 'aut_weyl_index': 80640, 'centralizer': '35.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['20.e1', '28.e1', '70.a1'], 'contains': ['280.b1', '280.c1', '280.d1'], 'core': '560.a1', 'coset_action_label': None, 'count': 560, 'diagramx': [2492, -1, 3521, -1], 'generators': [3, 4], 'label': '560.176.140.e1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1', 'old_label': '140.e1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148165
    {'ambient': '560.176', 'aut_centralizer_order': 26880, 'aut_label': '280.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 80640, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 3, 'contained_in': ['40.a1', '56.a1', '140.a1', '140.b1', '140.c1', '140.d1'], 'contains': ['560.a1'], 'core': '280.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5228, 3979, 4664, 6482], 'generators': [1], 'label': '560.176.280.a1', 'mobius_quo': -1, 'mobius_sub': -280, 'normal_closure': '280.a1', 'normal_contained_in': ['40.a1', '56.a1', '140.a1'], 'normal_contains': ['560.a1'], 'normalizer': '1.a1', 'old_label': '280.a1', 'projective_image': '280.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '280.36', 'quotient_action_kernel_order': 280, 'quotient_fusion': None, 'short_label': '280.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148166
    {'ambient': '560.176', 'aut_centralizer_order': 4032, 'aut_label': '280.b1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '1.1', 'aut_weyl_index': 80640, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.c1', '56.b1', '140.b1', '140.e1'], 'contains': ['560.a1'], 'core': '560.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [2330, -1, 2883, -1], 'generators': [3], 'label': '560.176.280.b1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '280.b1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148167
    {'ambient': '560.176', 'aut_centralizer_order': 2880, 'aut_label': '280.c1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '1.1', 'aut_weyl_index': 80640, 'centralizer': '7.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.b1', '56.c1', '140.c1', '140.e1'], 'contains': ['560.a1'], 'core': '560.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [2005, -1, 3202, -1], 'generators': [5], 'label': '560.176.280.c1', 'mobius_quo': None, 'mobius_sub': -40, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '280.c1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148168
    {'ambient': '560.176', 'aut_centralizer_order': 576, 'aut_label': '280.d1', 'aut_quo_index': None, 'aut_stab_index': 140, 'aut_weyl_group': '1.1', 'aut_weyl_index': 80640, 'centralizer': '35.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.d1', '56.d1', '140.d1', '140.e1'], 'contains': ['560.a1'], 'core': '560.a1', 'coset_action_label': None, 'count': 140, 'diagramx': [2762, -1, 3521, -1], 'generators': [7], 'label': '560.176.280.d1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1', 'old_label': '280.d1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148169
    {'ambient': '560.176', 'aut_centralizer_order': 56, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '240.200', 'aut_weyl_index': 336, 'centralizer': '20.b1', 'complements': ['140.c1', '140.d1', '140.e1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '20.c1', '28.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4325, 7806, 1629, 6118], 'generators': [1, 80, 336, 2], 'label': '560.176.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '28.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '280.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 108148170
    {'ambient': '560.176', 'aut_centralizer_order': None, 'aut_label': '560.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['80.a1', '112.a1', '280.a1', '280.b1', '280.c1', '280.d1'], 'contains': [], 'core': '560.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2167, 4592, 3042, 5735], 'generators': [], 'label': '560.176.560.a1', 'mobius_quo': 1, 'mobius_sub': 2240, 'normal_closure': '560.a1', 'normal_contained_in': ['80.a1', '112.a1', '280.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '560.a1', 'projective_image': '560.176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 108148171
    {'ambient': '560.176', 'aut_centralizer_order': 40, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '336.122', 'aut_weyl_index': 240, 'centralizer': '28.b1', 'complements': ['140.b1', '140.d1', '140.e1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.a1', '8.c1', '20.a1', '28.c1'], 'core': '4.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3584, 3603, 2355, 2069], 'generators': [1, 336, 80, 4], 'label': '560.176.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.a1', '8.c1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '280.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 108148172
    {'ambient': '560.176', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '1680.934', 'aut_weyl_index': 48, 'centralizer': '140.a1', 'complements': ['140.c1', '140.b1', '140.e1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.a1', '8.d1', '20.d1', '28.d1'], 'core': '4.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [4898, 4968, 2918, 3317], 'generators': [1, 336, 80, 6], 'label': '560.176.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.a1', '8.d1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '280.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '140.7'}
  • id: 108148173
    {'ambient': '560.176', 'aut_centralizer_order': 560, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '144.159', 'aut_weyl_index': 560, 'centralizer': '4.d1', 'complements': ['140.e1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.a1', '20.b1', '28.b1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6280, 1839, 4882, 7730], 'generators': [1, 336, 80, 280], 'label': '560.176.4.d1', 'mobius_quo': 2, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.a1', '20.b1', '28.b1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '140.7', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}