Abstract group data - 496.14

Formats: - HTML - YAML - JSON - 2025-10-22T13:33:15.191019

• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1860, 'aut_gen_orders': [10, 30, 30, 10, 5], 'aut_gens': [[1, 2, 16], [1, 302, 464], [13, 118, 112], [9, 358, 192], [1, 242, 240], [1, 130, 256]], 'aut_group': None, 'aut_hash': 2246758645782362033, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 14880, 'aut_permdeg': 128, 'aut_perms': [121414655808944307827342967649247591192805529313642860254645060106363403230534797308272601762781741102871884049182759185943715917857037506106173395108066450451685970018437090830268179849821482296694295281636043967999, 197523105545976758581403280471502852567802843174072268882846023319980833093054140612165905717295643783111314007047834676702865103297100479055717205502237224177221968826462169958561581323989686103611377856007699641664, 115649344264415803090219185473542422647863630371241709500320634960808378968194064370728677747624651730301204224543659134472432643225854182314519603006735644650536480955975577759480007173505563654430251837864717338388, 27684801108274088227115492302165030273168418639884537473699051994656318700322147043414372164322203411563551504650373606943949898749292484380707776706678719440872393010479737384932729220232933337429520680436148827426, 18598999534320091738251322832832671497567488930901319480727755410995245274552060012240804365425908405125762957586663186874212729135088387075829371001156627614162542670533740916042971029446155882490249367177194421778], 'aut_phi_ratio': 62.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 4, 1, 1], [2, 124, 1, 1], [4, 2, 1, 1], [8, 62, 2, 1], [31, 2, 15, 1], [62, 2, 15, 1], [62, 4, 30, 1], [124, 4, 15, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{62}.C_{30}.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 930, 'autcentquo_group': '3720.h', 'autcentquo_hash': 2260278060070233462, 'autcentquo_nilpotent': False, 'autcentquo_order': 3720, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times F_{31}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 4, 1], [2, 124, 1], [4, 2, 1], [8, 62, 2], [31, 2, 15], [62, 2, 15], [62, 4, 30], [124, 4, 15]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '248.7', 'commutator_count': 1, 'commutator_label': '124.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '31.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 14, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 4, 1, 1], [2, 124, 1, 1], [4, 2, 1, 1], [8, 62, 2, 1], [31, 2, 15, 1], [62, 2, 15, 1], [62, 4, 30, 1], [124, 4, 15, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 248, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 3, 5, 31], 'factors_of_order': [2, 31], 'faithful_reps': [[4, 1, 15]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '124.3', 'hash': 14, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 124, 'inner_gen_orders': [2, 4, 31], 'inner_gens': [[1, 14, 16], [5, 2, 480], [1, 34, 16]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 248, 'inner_split': True, 'inner_tex': 'C_{31}:D_4', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 60, 'irrQ_dim': 60, 'irrR_degree': 4, 'irrep_stats': [[1, 4], [2, 63], [4, 15]], 'label': '496.14', 'linC_count': 135, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 34, 'linQ_degree_count': 2, 'linQ_dim': 34, 'linQ_dim_count': 2, 'linR_count': 75, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C31:D8', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 10, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 82, 'number_divisions': 10, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': 22, 'number_subgroup_classes': 22, 'number_subgroups': 308, 'old_label': None, 'order': 496, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 129], [4, 2], [8, 124], [31, 30], [62, 150], [124, 60]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 30, 'outer_gen_orders': [2, 30], 'outer_gen_pows': [0, 0], 'outer_gens': [[9, 2, 480], [9, 10, 384]], 'outer_group': '60.13', 'outer_hash': 13, 'outer_nilpotent': True, 'outer_order': 60, 'outer_permdeg': 12, 'outer_perms': [362880, 39922593], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{30}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 39, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [4, 1], [30, 2], [60, 2]], 'representations': {'PC': {'code': 700311957610420614600029, 'gens': [1, 2, 5], 'pres': [5, -2, -2, -2, -2, -31, 141, 26, 182, 42, 6009]}, 'Perm': {'d': 39, 'gens': [13774094930742041323710367962159238592679172, 5733, 12568, 18498, 550570807328085194407427960024392768384990080]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{31}:D_8', 'transitive_degree': 248, '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: 110481568
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 14, 'group_order': 496, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 110481579
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 14, 'group_order': 496, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 8, 'size': 1}
  • id: 110481590
    {'aut_label': '2B', 'centralizer': '4.b1.a1', 'counter': 3, 'group_counter': 14, 'group_order': 496, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 1, 'size': 4}
  • id: 110481601
    {'aut_label': '2C', 'centralizer': '124.c1.a1', 'counter': 4, 'group_counter': 14, 'group_order': 496, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 411, 'size': 124}
  • id: 110481612
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 5, 'group_counter': 14, 'group_order': 496, 'label': '4A', 'order': 4, 'powers': [2, 5, 5, 5], 'representative': 12, 'size': 2}
  • id: 110481623
    {'aut_label': '8A1', 'centralizer': '62.c1.a1', 'counter': 6, 'group_counter': 14, 'group_order': 496, 'label': '8A1', 'order': 8, 'powers': [5, 7, 7, 6], 'representative': 30, 'size': 62}
  • id: 110481634
    {'aut_label': '8A1', 'centralizer': '62.c1.a1', 'counter': 7, 'group_counter': 14, 'group_order': 496, 'label': '8A3', 'order': 8, 'powers': [5, 6, 6, 7], 'representative': 26, 'size': 62}
  • id: 110481645
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 14, 'group_order': 496, 'label': '31A1', 'order': 31, 'powers': [9, 10, 12, 1], 'representative': 32, 'size': 2}
  • id: 110481649
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 9, 'group_counter': 14, 'group_order': 496, 'label': '31A2', 'order': 31, 'powers': [11, 13, 17, 1], 'representative': 64, 'size': 2}
  • id: 110481569
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 10, 'group_counter': 14, 'group_order': 496, 'label': '31A3', 'order': 31, 'powers': [13, 16, 22, 1], 'representative': 96, 'size': 2}
  • id: 110481570
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 14, 'group_order': 496, 'label': '31A4', 'order': 31, 'powers': [15, 19, 18, 1], 'representative': 128, 'size': 2}
  • id: 110481571
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 14, 'group_order': 496, 'label': '31A5', 'order': 31, 'powers': [17, 22, 13, 1], 'representative': 160, 'size': 2}
  • id: 110481572
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 14, 'group_order': 496, 'label': '31A6', 'order': 31, 'powers': [19, 20, 8, 1], 'representative': 192, 'size': 2}
  • id: 110481573
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 14, 'group_order': 496, 'label': '31A7', 'order': 31, 'powers': [21, 17, 11, 1], 'representative': 224, 'size': 2}
  • id: 110481574
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 14, 'group_order': 496, 'label': '31A8', 'order': 31, 'powers': [22, 14, 16, 1], 'representative': 256, 'size': 2}
  • id: 110481575
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 14, 'group_order': 496, 'label': '31A9', 'order': 31, 'powers': [20, 11, 21, 1], 'representative': 288, 'size': 2}
  • id: 110481576
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 14, 'group_order': 496, 'label': '31A10', 'order': 31, 'powers': [18, 8, 19, 1], 'representative': 320, 'size': 2}
  • id: 110481577
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 14, 'group_order': 496, 'label': '31A11', 'order': 31, 'powers': [16, 9, 14, 1], 'representative': 352, 'size': 2}
  • id: 110481578
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 14, 'group_order': 496, 'label': '31A12', 'order': 31, 'powers': [14, 12, 9, 1], 'representative': 384, 'size': 2}
  • id: 110481580
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 14, 'group_order': 496, 'label': '31A13', 'order': 31, 'powers': [12, 15, 10, 1], 'representative': 416, 'size': 2}
  • id: 110481581
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 14, 'group_order': 496, 'label': '31A14', 'order': 31, 'powers': [10, 18, 15, 1], 'representative': 448, 'size': 2}
  • id: 110481582
    {'aut_label': '31A1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 14, 'group_order': 496, 'label': '31A15', 'order': 31, 'powers': [8, 21, 20, 1], 'representative': 480, 'size': 2}
  • id: 110481583
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 14, 'group_order': 496, 'label': '62A1', 'order': 62, 'powers': [9, 24, 25, 2], 'representative': 40, 'size': 2}
  • id: 110481584
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 14, 'group_order': 496, 'label': '62A3', 'order': 62, 'powers': [13, 27, 30, 2], 'representative': 104, 'size': 2}
  • id: 110481585
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 14, 'group_order': 496, 'label': '62A5', 'order': 62, 'powers': [17, 30, 35, 2], 'representative': 168, 'size': 2}
  • id: 110481586
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 14, 'group_order': 496, 'label': '62A7', 'order': 62, 'powers': [21, 33, 36, 2], 'representative': 232, 'size': 2}
  • id: 110481587
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 14, 'group_order': 496, 'label': '62A9', 'order': 62, 'powers': [20, 36, 31, 2], 'representative': 296, 'size': 2}
  • id: 110481588
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 14, 'group_order': 496, 'label': '62A11', 'order': 62, 'powers': [16, 37, 26, 2], 'representative': 360, 'size': 2}
  • id: 110481589
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 14, 'group_order': 496, 'label': '62A13', 'order': 62, 'powers': [12, 34, 24, 2], 'representative': 424, 'size': 2}
  • id: 110481591
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 14, 'group_order': 496, 'label': '62A15', 'order': 62, 'powers': [8, 31, 29, 2], 'representative': 488, 'size': 2}
  • id: 110481592
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 14, 'group_order': 496, 'label': '62A17', 'order': 62, 'powers': [10, 28, 34, 2], 'representative': 56, 'size': 2}
  • id: 110481593
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 14, 'group_order': 496, 'label': '62A19', 'order': 62, 'powers': [14, 25, 37, 2], 'representative': 120, 'size': 2}
  • id: 110481594
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 14, 'group_order': 496, 'label': '62A21', 'order': 62, 'powers': [18, 23, 32, 2], 'representative': 184, 'size': 2}
  • id: 110481595
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 14, 'group_order': 496, 'label': '62A23', 'order': 62, 'powers': [22, 26, 27, 2], 'representative': 248, 'size': 2}
  • id: 110481596
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 14, 'group_order': 496, 'label': '62A25', 'order': 62, 'powers': [19, 29, 23, 2], 'representative': 312, 'size': 2}
  • id: 110481597
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 14, 'group_order': 496, 'label': '62A27', 'order': 62, 'powers': [15, 32, 28, 2], 'representative': 376, 'size': 2}
  • id: 110481598
    {'aut_label': '62A1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 14, 'group_order': 496, 'label': '62A29', 'order': 62, 'powers': [11, 35, 33, 2], 'representative': 440, 'size': 2}
  • id: 110481599
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 38, 'group_counter': 14, 'group_order': 496, 'label': '62B1', 'order': 62, 'powers': [8, 40, 42, 3], 'representative': 17, 'size': 4}
  • id: 110481600
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 39, 'group_counter': 14, 'group_order': 496, 'label': '62B-1', 'order': 62, 'powers': [8, 41, 43, 3], 'representative': 481, 'size': 4}
  • id: 110481602
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 40, 'group_counter': 14, 'group_order': 496, 'label': '62B3', 'order': 62, 'powers': [10, 46, 52, 3], 'representative': 49, 'size': 4}
  • id: 110481603
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 41, 'group_counter': 14, 'group_order': 496, 'label': '62B-3', 'order': 62, 'powers': [10, 47, 53, 3], 'representative': 449, 'size': 4}
  • id: 110481604
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 42, 'group_counter': 14, 'group_order': 496, 'label': '62B5', 'order': 62, 'powers': [12, 52, 62, 3], 'representative': 81, 'size': 4}
  • id: 110481605
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 43, 'group_counter': 14, 'group_order': 496, 'label': '62B-5', 'order': 62, 'powers': [12, 53, 63, 3], 'representative': 417, 'size': 4}
  • id: 110481606
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 44, 'group_counter': 14, 'group_order': 496, 'label': '62B7', 'order': 62, 'powers': [14, 58, 65, 3], 'representative': 113, 'size': 4}
  • id: 110481607
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 45, 'group_counter': 14, 'group_order': 496, 'label': '62B-7', 'order': 62, 'powers': [14, 59, 64, 3], 'representative': 385, 'size': 4}
  • id: 110481608
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 46, 'group_counter': 14, 'group_order': 496, 'label': '62B9', 'order': 62, 'powers': [16, 64, 55, 3], 'representative': 145, 'size': 4}
  • id: 110481609
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 47, 'group_counter': 14, 'group_order': 496, 'label': '62B-9', 'order': 62, 'powers': [16, 65, 54, 3], 'representative': 353, 'size': 4}
  • id: 110481610
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 48, 'group_counter': 14, 'group_order': 496, 'label': '62B11', 'order': 62, 'powers': [18, 67, 45, 3], 'representative': 177, 'size': 4}
  • id: 110481611
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 49, 'group_counter': 14, 'group_order': 496, 'label': '62B-11', 'order': 62, 'powers': [18, 66, 44, 3], 'representative': 321, 'size': 4}
  • id: 110481613
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 50, 'group_counter': 14, 'group_order': 496, 'label': '62B13', 'order': 62, 'powers': [20, 61, 40, 3], 'representative': 209, 'size': 4}
  • id: 110481614
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 51, 'group_counter': 14, 'group_order': 496, 'label': '62B-13', 'order': 62, 'powers': [20, 60, 41, 3], 'representative': 289, 'size': 4}
  • id: 110481615
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 52, 'group_counter': 14, 'group_order': 496, 'label': '62B15', 'order': 62, 'powers': [22, 55, 50, 3], 'representative': 241, 'size': 4}
  • id: 110481616
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 53, 'group_counter': 14, 'group_order': 496, 'label': '62B-15', 'order': 62, 'powers': [22, 54, 51, 3], 'representative': 257, 'size': 4}
  • id: 110481617
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 54, 'group_counter': 14, 'group_order': 496, 'label': '62B17', 'order': 62, 'powers': [21, 49, 60, 3], 'representative': 273, 'size': 4}
  • id: 110481618
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 55, 'group_counter': 14, 'group_order': 496, 'label': '62B-17', 'order': 62, 'powers': [21, 48, 61, 3], 'representative': 225, 'size': 4}
  • id: 110481619
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 56, 'group_counter': 14, 'group_order': 496, 'label': '62B19', 'order': 62, 'powers': [19, 43, 67, 3], 'representative': 305, 'size': 4}
  • id: 110481620
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 57, 'group_counter': 14, 'group_order': 496, 'label': '62B-19', 'order': 62, 'powers': [19, 42, 66, 3], 'representative': 193, 'size': 4}
  • id: 110481621
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 58, 'group_counter': 14, 'group_order': 496, 'label': '62B21', 'order': 62, 'powers': [17, 38, 57, 3], 'representative': 337, 'size': 4}
  • id: 110481622
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 59, 'group_counter': 14, 'group_order': 496, 'label': '62B-21', 'order': 62, 'powers': [17, 39, 56, 3], 'representative': 161, 'size': 4}
  • id: 110481624
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 60, 'group_counter': 14, 'group_order': 496, 'label': '62B23', 'order': 62, 'powers': [15, 44, 47, 3], 'representative': 369, 'size': 4}
  • id: 110481625
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 61, 'group_counter': 14, 'group_order': 496, 'label': '62B-23', 'order': 62, 'powers': [15, 45, 46, 3], 'representative': 129, 'size': 4}
  • id: 110481626
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 62, 'group_counter': 14, 'group_order': 496, 'label': '62B25', 'order': 62, 'powers': [13, 50, 38, 3], 'representative': 401, 'size': 4}
  • id: 110481627
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 63, 'group_counter': 14, 'group_order': 496, 'label': '62B-25', 'order': 62, 'powers': [13, 51, 39, 3], 'representative': 97, 'size': 4}
  • id: 110481628
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 64, 'group_counter': 14, 'group_order': 496, 'label': '62B27', 'order': 62, 'powers': [11, 56, 48, 3], 'representative': 433, 'size': 4}
  • id: 110481629
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 65, 'group_counter': 14, 'group_order': 496, 'label': '62B-27', 'order': 62, 'powers': [11, 57, 49, 3], 'representative': 65, 'size': 4}
  • id: 110481630
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 66, 'group_counter': 14, 'group_order': 496, 'label': '62B29', 'order': 62, 'powers': [9, 62, 58, 3], 'representative': 465, 'size': 4}
  • id: 110481631
    {'aut_label': '62B1', 'centralizer': '4.b1.a1', 'counter': 67, 'group_counter': 14, 'group_order': 496, 'label': '62B-29', 'order': 62, 'powers': [9, 63, 59, 3], 'representative': 33, 'size': 4}
  • id: 110481632
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 68, 'group_counter': 14, 'group_order': 496, 'label': '124A1', 'order': 124, 'powers': [23, 69, 70, 5], 'representative': 20, 'size': 4}
  • id: 110481633
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 69, 'group_counter': 14, 'group_order': 496, 'label': '124A3', 'order': 124, 'powers': [24, 72, 75, 5], 'representative': 52, 'size': 4}
  • id: 110481635
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 70, 'group_counter': 14, 'group_order': 496, 'label': '124A5', 'order': 124, 'powers': [25, 75, 80, 5], 'representative': 84, 'size': 4}
  • id: 110481636
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 71, 'group_counter': 14, 'group_order': 496, 'label': '124A7', 'order': 124, 'powers': [26, 78, 81, 5], 'representative': 116, 'size': 4}
  • id: 110481637
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 72, 'group_counter': 14, 'group_order': 496, 'label': '124A9', 'order': 124, 'powers': [27, 81, 76, 5], 'representative': 148, 'size': 4}
  • id: 110481638
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 73, 'group_counter': 14, 'group_order': 496, 'label': '124A11', 'order': 124, 'powers': [28, 82, 71, 5], 'representative': 180, 'size': 4}
  • id: 110481639
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 74, 'group_counter': 14, 'group_order': 496, 'label': '124A13', 'order': 124, 'powers': [29, 79, 69, 5], 'representative': 212, 'size': 4}
  • id: 110481640
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 75, 'group_counter': 14, 'group_order': 496, 'label': '124A15', 'order': 124, 'powers': [30, 76, 74, 5], 'representative': 244, 'size': 4}
  • id: 110481641
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 76, 'group_counter': 14, 'group_order': 496, 'label': '124A17', 'order': 124, 'powers': [31, 73, 79, 5], 'representative': 228, 'size': 4}
  • id: 110481642
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 77, 'group_counter': 14, 'group_order': 496, 'label': '124A19', 'order': 124, 'powers': [32, 70, 82, 5], 'representative': 196, 'size': 4}
  • id: 110481643
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 78, 'group_counter': 14, 'group_order': 496, 'label': '124A21', 'order': 124, 'powers': [33, 68, 77, 5], 'representative': 164, 'size': 4}
  • id: 110481644
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 79, 'group_counter': 14, 'group_order': 496, 'label': '124A23', 'order': 124, 'powers': [34, 71, 72, 5], 'representative': 132, 'size': 4}
  • id: 110481646
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 80, 'group_counter': 14, 'group_order': 496, 'label': '124A25', 'order': 124, 'powers': [35, 74, 68, 5], 'representative': 100, 'size': 4}
  • id: 110481647
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 81, 'group_counter': 14, 'group_order': 496, 'label': '124A27', 'order': 124, 'powers': [36, 77, 73, 5], 'representative': 68, 'size': 4}
  • id: 110481648
    {'aut_label': '124A1', 'centralizer': '4.a1.a1', 'counter': 82, 'group_counter': 14, 'group_order': 496, 'label': '124A29', 'order': 124, 'powers': [37, 80, 78, 5], 'representative': 36, '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: 4637110
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4637112
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4637113
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4637114
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4637115
    {'cdim': 2, 'counter': 5, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 0, 0, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 4637116
    {'cdim': 2, 'counter': 6, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.2b', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4637117
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.2c', 'multiplicity': 15, 'nt': [31, 2], 'qdim': 30, 'qvalues': [30, 30, 30, 0, 30, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4637118
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.2d', 'multiplicity': 15, 'nt': [62, 0], 'qdim': 30, 'qvalues': [30, 30, -30, 0, 30, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4637119
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.2e', 'multiplicity': 30, 'nt': [124, 0], 'qdim': 60, 'qvalues': [60, 60, 0, 0, -60, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 4637111
    {'cdim': 4, 'counter': 10, 'faithful': True, 'group': '496.14', 'group_order': 496, 'image': None, 'label': '496.14.4a', 'multiplicity': 15, 'nt': [248, 0], 'qdim': 60, 'qvalues': [60, -60, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 7389027
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 496, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 496, 'label': '496.14.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7389038
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 496, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 248, 'label': '496.14.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7389049
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 496, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 248, 'label': '496.14.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7389060
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 496, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 248, 'label': '496.14.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7389071
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 124, 'counter': 5, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 62, 'label': '496.14.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]]]}
  • id: 7389082
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 62, 'counter': 6, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.a1.a1', 'kernel_order': 31, 'label': '496.14.2b1', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389093
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 62, 'counter': 7, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.a1.a1', 'kernel_order': 31, 'label': '496.14.2b2', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389104
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 8, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c1', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 13], [1, -13]]]}
  • id: 7389035
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 17, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c10', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 7389036
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 18, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c11', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]]]}
  • id: 7389037
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 19, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c12', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 11], [1, -11]]]}
  • id: 7389039
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 20, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c13', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 15], [1, -15]]]}
  • id: 7389040
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 21, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c14', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 10], [1, -10]]]}
  • id: 7389041
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 22, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c15', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 5], [1, -5]]]}
  • id: 7389108
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 9, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c2', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 8], [1, -8]]]}
  • id: 7389028
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 10, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c3', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]]]}
  • id: 7389029
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 11, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c4', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 7389030
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 12, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c5', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 7], [1, -7]]]}
  • id: 7389031
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 13, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c6', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 12], [1, -12]]]}
  • id: 7389032
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 14, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c7', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 14], [1, -14]]]}
  • id: 7389033
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 15, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c8', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 9], [1, -9]]]}
  • id: 7389034
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 16, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '62.1', 'image_order': 62, 'indicator': 1, 'kernel': '62.a1.a1', 'kernel_order': 8, 'label': '496.14.2c9', 'nt': [31, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]]]}
  • id: 7389042
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 23, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d1', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 13], [1, -13]]]}
  • id: 7389052
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 32, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d10', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 7389053
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 33, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d11', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 6], [1, -6]]]}
  • id: 7389054
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 34, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d12', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 11], [1, -11]]]}
  • id: 7389055
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 35, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d13', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 15], [1, -15]]]}
  • id: 7389056
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 36, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d14', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 10], [1, -10]]]}
  • id: 7389057
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 37, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d15', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 5], [1, -5]]]}
  • id: 7389043
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 24, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d2', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 8], [1, -8]]]}
  • id: 7389044
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 25, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d3', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]]]}
  • id: 7389045
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 26, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d4', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 7389046
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 27, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d5', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 7], [1, -7]]]}
  • id: 7389047
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 28, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d6', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 12], [1, -12]]]}
  • id: 7389048
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 29, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d7', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 14], [1, -14]]]}
  • id: 7389050
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 30, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d8', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 9], [1, -9]]]}
  • id: 7389051
    {'center': '62.a1.a1', 'center_index': 62, 'center_order': 8, 'counter': 31, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '124.3', 'image_order': 124, 'indicator': 1, 'kernel': '124.a1.a1', 'kernel_order': 4, 'label': '496.14.2d9', 'nt': [62, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]]]}
  • id: 7389058
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 38, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e1', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]]]}
  • id: 7389068
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 47, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e10', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]]]}
  • id: 7389069
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 48, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e11', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]]]}
  • id: 7389070
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 49, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e12', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]]]}
  • id: 7389072
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 50, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e13', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 14], [-1, -14]]]}
  • id: 7389073
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 51, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e14', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 14], [-1, -14]]]}
  • id: 7389074
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 52, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e15', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]]]}
  • id: 7389075
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 53, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e16', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 14], [1, -14]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]]]}
  • id: 7389076
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 54, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e17', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]]]}
  • id: 7389077
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 55, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e18', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]]]}
  • id: 7389078
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 56, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e19', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 7389059
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 39, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e2', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 10], [1, -10]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]]]}
  • id: 7389079
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 57, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e20', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 7389080
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 58, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e21', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]]]}
  • id: 7389081
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 59, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e22', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]]]}
  • id: 7389083
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 60, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e23', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]]]}
  • id: 7389084
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 61, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e24', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 6], [1, -6]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]]]}
  • id: 7389085
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 62, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e25', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]]]}
  • id: 7389086
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 63, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e26', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 11], [1, -11]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]]]}
  • id: 7389087
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 64, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e27', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]]]}
  • id: 7389088
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 65, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e28', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 11], [1, -11]], [[1, 12], [1, -12]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]]]}
  • id: 7389089
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 66, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e29', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]]]}
  • id: 7389061
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 40, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e3', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]]]}
  • id: 7389090
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 67, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e30', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 14], [1, -14]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]]]}
  • id: 7389062
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 41, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e4', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 13], [1, -13]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 10], [1, -10]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 8], [-1, -8]]]}
  • id: 7389063
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 42, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e5', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]]]}
  • id: 7389064
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 43, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e6', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 10], [1, -10]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 15], [1, -15]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]]]}
  • id: 7389065
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 44, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e7', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 12], [1, -12]], [[1, 12], [-1, -12]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 13], [-1, -13]], [[-1, 13], [1, -13]], [[1, 10], [-1, -10]], [[-1, 10], [1, -10]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 11], [1, -11]], [[1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 7389066
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 45, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e8', 'nt': [124, 30], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[1, 13], [1, -13]], [[1, 14], [-1, -14]], [[-1, 14], [1, -14]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 15], [-1, -15]], [[-1, 15], [1, -15]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 7389067
    {'center': '124.a1.a1', 'center_index': 124, 'center_order': 4, 'counter': 46, 'cyclotomic_n': 31, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '248.7', 'image_order': 248, 'indicator': 0, 'kernel': '248.a1.a1', 'kernel_order': 2, 'label': '496.14.2e9', 'nt': [124, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 11], [1, -11]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 14], [1, -14]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 10], [1, -10]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 10], [1, -10]], [[1, 12], [1, -12]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 14], [1, -14]], [[1, 15], [1, -15]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 13], [1, -13]], [[1, 13], [-1, -13]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 10], [1, -10]], [[1, 10], [-1, -10]], [[-1, 15], [1, -15]], [[1, 15], [-1, -15]], [[1, 11], [-1, -11]], [[-1, 11], [1, -11]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 14], [1, -14]], [[1, 14], [-1, -14]], [[1, 12], [-1, -12]], [[-1, 12], [1, -12]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]]]}
  • id: 7389091
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 68, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a1', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15], [2, -15]], [[2, 11], [2, -11]], [[2, 10], [2, -10]], [[2, 9], [2, -9]], [[2, 2], [2, -2]], [[2, 7], [2, -7]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 14], [2, -14]], [[2, 13], [2, -13]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[-2, 14], [-2, -14]], [[-2, 1], [-2, -1]], [[-2, 8], [-2, -8]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[-2, 11], [-2, -11]], [[-2, 13], [-2, -13]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 12], [-2, -12]], [[-2, 3], [-2, -3]], [[-2, 10], [-2, -10]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389101
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 77, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a10', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 15], [2, -15]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[2, 12], [2, -12]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 10], [2, -10]], [[2, 13], [2, -13]], [[2, 1], [2, -1]], [[2, 11], [2, -11]], [[2, 3], [2, -3]], [[2, 14], [2, -14]], [[-2, 13], [-2, -13]], [[-2, 12], [-2, -12]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[-2, 6], [-2, -6]], [[-2, 7], [-2, -7]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[-2, 1], [-2, -1]], [[-2, 14], [-2, -14]], [[-2, 2], [-2, -2]], [[-2, 11], [-2, -11]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389102
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 78, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a11', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 11], [2, -11]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 12], [2, -12]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 15], [2, -15]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 13], [2, -13]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[-2, 10], [-2, -10]], [[-2, 13], [-2, -13]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 11], [-2, -11]], [[-2, 2], [-2, -2]], [[-2, 14], [-2, -14]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 7], [-2, -7]], [[-2, 8], [-2, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389103
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 79, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a12', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 13], [2, -13]], [[2, 10], [2, -10]], [[2, 15], [2, -15]], [[2, 6], [2, -6]], [[2, 8], [2, -8]], [[2, 9], [2, -9]], [[2, 7], [2, -7]], [[2, 14], [2, -14]], [[2, 12], [2, -12]], [[2, 11], [2, -11]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[-2, 10], [-2, -10]], [[-2, 4], [-2, -4]], [[-2, 15], [-2, -15]], [[-2, 14], [-2, -14]], [[-2, 5], [-2, -5]], [[-2, 11], [-2, -11]], [[-2, 1], [-2, -1]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 7], [-2, -7]], [[-2, 13], [-2, -13]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389105
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 80, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a13', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[2, 11], [2, -11]], [[2, 6], [2, -6]], [[2, 1], [2, -1]], [[2, 13], [2, -13]], [[2, 5], [2, -5]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[2, 14], [2, -14]], [[2, 7], [2, -7]], [[-2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 14], [-2, -14]], [[-2, 8], [-2, -8]], [[-2, 3], [-2, -3]], [[-2, 12], [-2, -12]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 15], [-2, -15]], [[-2, 7], [-2, -7]], [[-2, 1], [-2, -1]], [[-2, 10], [-2, -10]], [[-2, 13], [-2, -13]], [[-2, 2], [-2, -2]], [[-2, 11], [-2, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389106
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 81, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a14', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 13], [2, -13]], [[2, 9], [2, -9]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 11], [2, -11]], [[2, 12], [2, -12]], [[2, 7], [2, -7]], [[2, 6], [2, -6]], [[2, 10], [2, -10]], [[2, 14], [2, -14]], [[2, 1], [2, -1]], [[2, 15], [2, -15]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 7], [-2, -7]], [[-2, 13], [-2, -13]], [[-2, 10], [-2, -10]], [[-2, 15], [-2, -15]], [[-2, 11], [-2, -11]], [[-2, 14], [-2, -14]], [[-2, 12], [-2, -12]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389107
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 82, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a15', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 9], [2, -9]], [[2, 11], [2, -11]], [[2, 13], [2, -13]], [[2, 4], [2, -4]], [[2, 14], [2, -14]], [[2, 2], [2, -2]], [[2, 10], [2, -10]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 7], [2, -7]], [[2, 15], [2, -15]], [[2, 8], [2, -8]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 15], [-2, -15]], [[-2, 13], [-2, -13]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[-2, 9], [-2, -9]], [[-2, 5], [-2, -5]], [[-2, 8], [-2, -8]], [[-2, 10], [-2, -10]], [[-2, 7], [-2, -7]], [[-2, 6], [-2, -6]], [[-2, 11], [-2, -11]], [[-2, 14], [-2, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389092
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 69, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a2', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 14], [2, -14]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 10], [2, -10]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[2, 13], [2, -13]], [[2, 11], [2, -11]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 7], [2, -7]], [[2, 12], [2, -12]], [[-2, 11], [-2, -11]], [[-2, 3], [-2, -3]], [[-2, 7], [-2, -7]], [[-2, 4], [-2, -4]], [[-2, 14], [-2, -14]], [[-2, 6], [-2, -6]], [[-2, 13], [-2, -13]], [[-2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 12], [-2, -12]], [[-2, 15], [-2, -15]], [[-2, 5], [-2, -5]], [[-2, 9], [-2, -9]], [[-2, 1], [-2, -1]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389094
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 70, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a3', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 13], [2, -13]], [[2, 7], [2, -7]], [[2, 12], [2, -12]], [[2, 14], [2, -14]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 6], [2, -6]], [[2, 15], [2, -15]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 11], [2, -11]], [[-2, 8], [-2, -8]], [[-2, 5], [-2, -5]], [[-2, 9], [-2, -9]], [[-2, 14], [-2, -14]], [[-2, 13], [-2, -13]], [[-2, 10], [-2, -10]], [[-2, 1], [-2, -1]], [[-2, 7], [-2, -7]], [[-2, 3], [-2, -3]], [[-2, 11], [-2, -11]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 15], [-2, -15]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389095
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 71, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a4', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[2, 15], [2, -15]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 14], [2, -14]], [[2, 13], [2, -13]], [[2, 7], [2, -7]], [[2, 4], [2, -4]], [[2, 10], [2, -10]], [[2, 11], [2, -11]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 7], [-2, -7]], [[-2, 6], [-2, -6]], [[-2, 1], [-2, -1]], [[-2, 12], [-2, -12]], [[-2, 14], [-2, -14]], [[-2, 11], [-2, -11]], [[-2, 15], [-2, -15]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 9], [-2, -9]], [[-2, 10], [-2, -10]], [[-2, 8], [-2, -8]], [[-2, 13], [-2, -13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389096
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 72, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a5', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, -11]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 12], [2, -12]], [[2, 13], [2, -13]], [[2, 1], [2, -1]], [[2, 9], [2, -9]], [[2, 14], [2, -14]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 7], [2, -7]], [[2, 15], [2, -15]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[-2, 2], [-2, -2]], [[-2, 9], [-2, -9]], [[-2, 10], [-2, -10]], [[-2, 12], [-2, -12]], [[-2, 11], [-2, -11]], [[-2, 13], [-2, -13]], [[-2, 8], [-2, -8]], [[-2, 6], [-2, -6]], [[-2, 7], [-2, -7]], [[-2, 5], [-2, -5]], [[-2, 14], [-2, -14]], [[-2, 15], [-2, -15]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389097
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 73, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a6', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10], [2, -10]], [[2, 3], [2, -3]], [[2, 14], [2, -14]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 11], [2, -11]], [[2, 7], [2, -7]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 13], [2, -13]], [[-2, 1], [-2, -1]], [[-2, 11], [-2, -11]], [[-2, 5], [-2, -5]], [[-2, 6], [-2, -6]], [[-2, 10], [-2, -10]], [[-2, 9], [-2, -9]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 12], [-2, -12]], [[-2, 13], [-2, -13]], [[-2, 7], [-2, -7]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[-2, 14], [-2, -14]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389098
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 74, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a7', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 12], [2, -12]], [[2, 6], [2, -6]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 13], [2, -13]], [[2, 3], [2, -3]], [[2, 8], [2, -8]], [[2, 15], [2, -15]], [[2, 4], [2, -4]], [[2, 14], [2, -14]], [[2, 1], [2, -1]], [[2, 11], [2, -11]], [[2, 10], [2, -10]], [[-2, 4], [-2, -4]], [[-2, 13], [-2, -13]], [[-2, 11], [-2, -11]], [[-2, 7], [-2, -7]], [[-2, 9], [-2, -9]], [[-2, 5], [-2, -5]], [[-2, 15], [-2, -15]], [[-2, 12], [-2, -12]], [[-2, 14], [-2, -14]], [[-2, 10], [-2, -10]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 8], [-2, -8]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389099
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 75, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a8', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 10], [2, -10]], [[2, 5], [2, -5]], [[2, 11], [2, -11]], [[2, 1], [2, -1]], [[2, 12], [2, -12]], [[2, 15], [2, -15]], [[2, 13], [2, -13]], [[2, 14], [2, -14]], [[2, 3], [2, -3]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 7], [-2, -7]], [[-2, 15], [-2, -15]], [[-2, 4], [-2, -4]], [[-2, 11], [-2, -11]], [[-2, 8], [-2, -8]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 10], [-2, -10]], [[-2, 9], [-2, -9]], [[-2, 2], [-2, -2]], [[-2, 13], [-2, -13]], [[-2, 6], [-2, -6]], [[-2, 14], [-2, -14]], [[-2, 5], [-2, -5]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7389100
    {'center': '248.a1.a1', 'center_index': 248, 'center_order': 2, 'counter': 76, 'cyclotomic_n': 31, 'dim': 4, 'faithful': True, 'field': [1, -8, -28, 84, 126, -252, -210, 330, 165, -220, -66, 78, 13, -14, -1, 1], 'group': '496.14', 'group_counter': 14, 'group_order': 496, 'image': None, 'image_isoclass': '496.14', 'image_order': 496, 'indicator': 1, 'kernel': '496.a1.a1', 'kernel_order': 1, 'label': '496.14.4a9', 'nt': [248, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 1], [2, -1]], [[2, 15], [2, -15]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 14], [2, -14]], [[2, 8], [2, -8]], [[2, 11], [2, -11]], [[2, 9], [2, -9]], [[2, 10], [2, -10]], [[2, 4], [2, -4]], [[2, 13], [2, -13]], [[2, 12], [2, -12]], [[2, 6], [2, -6]], [[-2, 10], [-2, -10]], [[-2, 14], [-2, -14]], [[-2, 12], [-2, -12]], [[-2, 2], [-2, -2]], [[-2, 7], [-2, -7]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 8], [-2, -8]], [[-2, 13], [-2, -13]], [[-2, 11], [-2, -11]], [[-2, 15], [-2, -15]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 67137177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 496, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 62, 'label': '496.14.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '496.14', 'subgroup_hash': 14, 'subgroup_order': 496, 'subgroup_tex': 'C_{31}:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 67137188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 62, 'characteristic': True, 'core_order': 248, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '496.14.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '248.9', 'subgroup_hash': 9, 'subgroup_order': 248, 'subgroup_tex': 'D_4\\times C_{31}', 'supersolvable': True, 'sylow': 0}
  • id: 67137192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 248, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '496.14.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '248.5', 'subgroup_hash': 5, 'subgroup_order': 248, 'subgroup_tex': 'D_{124}', 'supersolvable': True, 'sylow': 0}
  • id: 67137193
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 248, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '496.14.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '248.1', 'subgroup_hash': 1, 'subgroup_order': 248, 'subgroup_tex': 'C_{31}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 67137194
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 124, 'characteristic': True, 'core_order': 124, 'counter': 5, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '496.14.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', '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': ['D', 'L1', 'D1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '124.2', 'subgroup_hash': 2, 'subgroup_order': 124, 'subgroup_tex': 'C_{124}', 'supersolvable': True, 'sylow': 0}
  • id: 67137195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 62, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '496.14.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '124.4', 'subgroup_hash': 4, 'subgroup_order': 124, 'subgroup_tex': 'C_2\\times C_{62}', 'supersolvable': True, 'sylow': 0}
  • id: 67137196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 62, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '496.14.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '124.3', 'subgroup_hash': 3, 'subgroup_order': 124, 'subgroup_tex': 'D_{62}', 'supersolvable': True, 'sylow': 0}
  • id: 67137197
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 248, 'characteristic': True, 'core_order': 62, 'counter': 8, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '496.14.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'L2', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '62.2', 'subgroup_hash': 2, 'subgroup_order': 62, 'subgroup_tex': 'C_{62}', 'supersolvable': True, 'sylow': 0}
  • id: 67137198
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 31, 'counter': 9, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '496.14.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62.2', 'subgroup_hash': 2, 'subgroup_order': 62, 'subgroup_tex': 'C_{62}', 'supersolvable': True, 'sylow': 0}
  • id: 67137178
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 31, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '496.14.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62.1', 'subgroup_hash': 1, 'subgroup_order': 62, 'subgroup_tex': 'D_{31}', 'supersolvable': True, 'sylow': 0}
  • id: 67137179
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 248, 'characteristic': True, 'core_order': 31, 'counter': 11, 'cyclic': True, 'direct': False, 'hall': 31, 'label': '496.14.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': True, 'solvable': True, 'special_labels': ['L3', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '31.1', 'subgroup_hash': 1, 'subgroup_order': 31, 'subgroup_tex': 'C_{31}', 'supersolvable': True, 'sylow': 31}
  • id: 67137180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 8, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '496.14.31.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '31.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 31, '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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 2}
  • id: 67137181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 62, 'characteristic': True, 'core_order': 8, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '496.14.62.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '62.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '62.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 62, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{31}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 67137182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '496.14.62.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '62.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 62, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 67137183
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 15, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '496.14.62.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '62.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 62, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 67137184
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 248, 'characteristic': True, 'core_order': 4, 'counter': 16, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '496.14.124.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '124.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '124.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 124, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{62}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 67137185
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 2, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '496.14.124.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '124.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 124, '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: 67137186
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '496.14.124.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '124.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 124, '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: 67137187
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': True, 'central_factor': False, 'centralizer_order': 496, 'characteristic': True, 'core_order': 2, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '496.14.248.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '248.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '248.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 248, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{31}:D_4', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67137189
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 1, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '496.14.248.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '248.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 248, '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: 67137190
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '496.14.248.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '248.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 248, '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: 67137191
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '496.14', 'ambient_counter': 14, 'ambient_order': 496, 'ambient_tex': 'C_{31}:D_8', 'central': True, 'central_factor': False, 'centralizer_order': 496, 'characteristic': True, 'core_order': 1, 'counter': 22, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '496.14.496.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '496.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '496.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 496, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{31}:D_8', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C5'], '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: 67137177
    {'ambient': '496.14', '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': '248.a1.a1', 'complements': ['496.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '31.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2487, 4678, 7519, 5415, 5410, 4388, 5839, 5612], 'generators': [8, 16, 12, 2, 1], 'label': '496.14.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '248.7'}
  • id: 67137178
    {'ambient': '496.14', 'aut_centralizer_order': 4, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '930.1', 'aut_weyl_index': 16, 'centralizer': '248.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.a1.a1', '248.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8739, -1, 7931, -1, 9360, -1, 9359, -1], 'generators': [3, 16], 'label': '496.14.8.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '8.c1.a1', 'projective_image': '496.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '62.1'}
  • id: 67137179
    {'ambient': '496.14', 'aut_centralizer_order': 496, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '30.4', 'aut_weyl_index': 496, 'centralizer': '2.a1.a1', 'complements': ['31.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'contains': ['496.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6736, 3416, 2150, 6221, 6276, 5021, 4973, 5282], 'generators': [16], 'label': '496.14.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['496.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '496.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67137180
    {'ambient': '496.14', 'aut_centralizer_order': 30, 'aut_label': '31.a1', 'aut_quo_index': None, 'aut_stab_index': 31, 'aut_weyl_group': '16.11', 'aut_weyl_index': 930, 'centralizer': '248.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['62.a1.a1', '62.b1.a1', '62.c1.a1'], 'core': '62.a1.a1', 'coset_action_label': None, 'count': 31, 'diagramx': [1830, -1, 7622, -1, 4545, -1, 6706, -1], 'generators': [1, 2], 'label': '496.14.31.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '31.a1.a1', 'old_label': '31.a1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67137181
    {'ambient': '496.14', 'aut_centralizer_order': 1860, 'aut_label': '62.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1860, 'centralizer': '8.a1.a1', 'complements': ['8.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '31.a1.a1'], 'contains': ['124.a1.a1', '124.b1.a1'], 'core': '62.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1606, 8313, 4578, 2040, 487, 7662, 3439, 2641], 'generators': [1, 12], 'label': '496.14.62.a1.a1', 'mobius_quo': 0, 'mobius_sub': 31, 'normal_closure': '62.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['124.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '62.a1.a1', 'projective_image': '248.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '31.1', 'quotient_action_kernel_order': 31, 'quotient_fusion': None, 'short_label': '62.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67137182
    {'ambient': '496.14', 'aut_centralizer_order': 60, 'aut_label': '62.b1', 'aut_quo_index': None, 'aut_stab_index': 31, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1860, 'centralizer': '248.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '31.a1.a1'], 'contains': ['124.a1.a1', '124.c1.a1'], 'core': '124.a1.a1', 'coset_action_label': None, 'count': 31, 'diagramx': [4749, -1, 8323, -1, 7809, -1, 7807, -1], 'generators': [3, 12], 'label': '496.14.62.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '31.a1.a1', 'old_label': '62.b1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67137183
    {'ambient': '496.14', 'aut_centralizer_order': 120, 'aut_label': '62.c1', 'aut_quo_index': None, 'aut_stab_index': 31, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3720, 'centralizer': '62.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '31.a1.a1'], 'contains': ['124.a1.a1'], 'core': '124.a1.a1', 'coset_action_label': None, 'count': 31, 'diagramx': [2850, -1, 6841, -1, 4743, -1, 6507, -1], 'generators': [2], 'label': '496.14.62.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '31.a1.a1', 'old_label': '62.c1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67137184
    {'ambient': '496.14', 'aut_centralizer_order': 7440, 'aut_label': '124.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 7440, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '62.a1.a1', '62.b1.a1', '62.c1.a1'], 'contains': ['248.a1.a1'], 'core': '124.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3800, 6877, 5709, 3249, 4833, 7221, 6417, 3081], 'generators': [12], 'label': '496.14.124.a1.a1', 'mobius_quo': 0, 'mobius_sub': -62, 'normal_closure': '124.a1.a1', 'normal_contained_in': ['4.a1.a1', '62.a1.a1'], 'normal_contains': ['248.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '124.a1.a1', 'projective_image': '248.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '62.1', 'quotient_action_kernel_order': 62, 'quotient_fusion': None, 'short_label': '124.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67137185
    {'ambient': '496.14', 'aut_centralizer_order': 3720, 'aut_label': '124.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 7440, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '62.a1.a1'], 'contains': ['248.a1.a1', '248.b1.a1'], 'core': '248.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1606, -1, 2212, -1, 1858, -1, 3439, -1], 'generators': [1, 8], 'label': '496.14.124.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '62.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '124.b1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67137186
    {'ambient': '496.14', 'aut_centralizer_order': 120, 'aut_label': '124.c1', 'aut_quo_index': None, 'aut_stab_index': 62, 'aut_weyl_group': '2.1', 'aut_weyl_index': 7440, 'centralizer': '124.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '62.b1.a1'], 'contains': ['248.a1.a1', '248.c1.a1'], 'core': '248.a1.a1', 'coset_action_label': None, 'count': 62, 'diagramx': [7478, -1, 8302, -1, 7809, -1, 7807, -1], 'generators': [3, 8], 'label': '496.14.124.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '62.b1.a1', 'old_label': '124.c1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67137187
    {'ambient': '496.14', 'aut_centralizer_order': 14880, 'aut_label': '248.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 14880, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '124.a1.a1', '124.b1.a1', '124.c1.a1'], 'contains': ['496.a1.a1'], 'core': '248.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5492, 5263, 3570, 4635, 4833, 7221, 6417, 3081], 'generators': [8], 'label': '496.14.248.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '248.a1.a1', 'normal_contained_in': ['8.a1.a1', '124.a1.a1'], 'normal_contains': ['496.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '248.a1.a1', 'projective_image': '248.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '248.7', 'quotient_action_kernel_order': 248, 'quotient_fusion': None, 'short_label': '248.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67137188
    {'ambient': '496.14', 'aut_centralizer_order': 62, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '240.186', 'aut_weyl_index': 62, 'centralizer': '8.a1.a1', 'complements': ['248.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '62.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1261, 8519, 3467, 1839, 2417, 7992, 2410, 2008], 'generators': [1, 12, 8, 16], 'label': '496.14.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '62.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '248.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67137189
    {'ambient': '496.14', 'aut_centralizer_order': 3720, 'aut_label': '248.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 14880, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '124.b1.a1'], 'contains': ['496.a1.a1'], 'core': '496.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1606, -1, 2089, -1, 3390, -1, 3439, -1], 'generators': [1], 'label': '496.14.248.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '62.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '248.b1.a1', 'projective_image': '496.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67137190
    {'ambient': '496.14', 'aut_centralizer_order': 120, 'aut_label': '248.c1', 'aut_quo_index': None, 'aut_stab_index': 124, 'aut_weyl_group': '1.1', 'aut_weyl_index': 14880, 'centralizer': '124.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '124.c1.a1'], 'contains': ['496.a1.a1'], 'core': '496.a1.a1', 'coset_action_label': None, 'count': 124, 'diagramx': [7478, -1, 8302, -1, 7809, -1, 7807, -1], 'generators': [3], 'label': '496.14.248.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '124.c1.a1', 'old_label': '248.c1.a1', 'projective_image': '496.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67137191
    {'ambient': '496.14', 'aut_centralizer_order': None, 'aut_label': '496.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '248.a1.a1', '248.b1.a1', '248.c1.a1'], 'contains': [], 'core': '496.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5976, 4414, 2829, 5391, 5555, 6121, 5695, 4182], 'generators': [], 'label': '496.14.496.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '496.a1.a1', 'normal_contained_in': ['16.a1.a1', '248.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '496.a1.a1', 'projective_image': '496.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '496.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67137192
    {'ambient': '496.14', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '7440.g', 'aut_weyl_index': 2, 'centralizer': '248.a1.a1', 'complements': ['248.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '62.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5596, 4678, 8631, 8161, 8242, 4388, 8240, 5612], 'generators': [3, 12, 16, 8], 'label': '496.14.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '248.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '248.7'}
  • id: 67137193
    {'ambient': '496.14', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '3720.h', 'aut_weyl_index': 4, 'centralizer': '124.a1.a1', 'complements': ['248.b1.a1', '248.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '62.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3713, 1481, 6388, 5415, 6276, 1389, 4973, 8611], 'generators': [2, 4, 16, 8], 'label': '496.14.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '248.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '124.3'}
  • id: 67137194
    {'ambient': '496.14', 'aut_centralizer_order': 248, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 248, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '124.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4180, 4706, 5092, 5113, 6276, 5021, 4973, 5282], 'generators': [12, 16, 8], 'label': '496.14.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '124.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '248.7', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 67137195
    {'ambient': '496.14', 'aut_centralizer_order': 124, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '60.13', 'aut_weyl_index': 248, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '124.b1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1261, -1, 1491, -1, 2615, -1, 1309, -1], 'generators': [1, 8, 16], 'label': '496.14.4.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67137196
    {'ambient': '496.14', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1860.20', 'aut_weyl_index': 8, 'centralizer': '248.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '124.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7271, -1, 8281, -1, 9270, -1, 9269, -1], 'generators': [3, 8, 16], 'label': '496.14.4.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.c1.a1', 'projective_image': '248.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '124.3'}
  • id: 67137197
    {'ambient': '496.14', 'aut_centralizer_order': 496, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '30.4', 'aut_weyl_index': 496, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '248.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6080, 4706, 3178, 5113, 6276, 5021, 4973, 5282], 'generators': [8, 16], 'label': '496.14.8.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '248.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '248.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67137198
    {'ambient': '496.14', 'aut_centralizer_order': 124, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '30.4', 'aut_weyl_index': 496, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.a1.a1', '248.b1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1261, -1, 1369, -1, 3390, -1, 1904, -1], 'generators': [1, 16], 'label': '496.14.8.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.b1.a1', 'projective_image': '496.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}