Abstract group data - 448.153

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '112.22', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [2, 4, 4, 2, 4, 6], 'aut_gens': [[1, 14, 28], [1, 14, 35], [1, 238, 84], [1, 14, 140], [1, 14, 42], [239, 238, 28], [3, 14, 28]], 'aut_group': '768.53382', 'aut_hash': 53382, 'aut_nilpotency_class': 3, 'aut_nilpotent': True, 'aut_order': 768, 'aut_permdeg': 38, 'aut_perms': [183148334424383452614263785532759978130253807, 40249966639430964137914833011065079002771449, 347647784632697982014409345568372302776707333, 14107273648426507660335588267213483514106485, 16638818230432285238202595358235860201293525, 2396433696967772887622494291511192], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 4, 1, 1], [7, 1, 6, 1], [8, 2, 4, 1], [8, 4, 2, 1], [14, 1, 6, 1], [14, 2, 6, 1], [14, 4, 6, 1], [16, 4, 8, 1], [28, 1, 12, 1], [28, 2, 6, 1], [28, 4, 6, 1], [56, 2, 24, 1], [56, 4, 12, 1], [112, 4, 48, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_6\\times C_2^3.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '48.44', 'autcent_hash': 44, 'autcent_nilpotent': True, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times C_{12}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4, 'autcentquo_group': '16.11', 'autcentquo_hash': 11, 'autcentquo_nilpotent': True, 'autcentquo_order': 16, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 4, 1], [4, 1, 2], [4, 2, 1], [4, 4, 1], [7, 1, 6], [8, 2, 4], [8, 4, 2], [14, 1, 6], [14, 2, 6], [14, 4, 6], [16, 4, 8], [28, 1, 12], [28, 2, 6], [28, 4, 6], [56, 2, 24], [56, 4, 12], [112, 4, 48]], 'center_label': '28.2', 'center_order': 28, 'central_product': True, 'central_quotient': '16.3', 'commutator_count': 1, 'commutator_label': '4.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 153, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['64.30', 1], ['7.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 4, 1, 1], [7, 1, 6, 1], [8, 2, 2, 2], [8, 4, 2, 1], [14, 1, 6, 1], [14, 2, 6, 1], [14, 4, 6, 1], [16, 4, 4, 2], [28, 1, 12, 1], [28, 2, 6, 1], [28, 4, 6, 1], [56, 2, 12, 2], [56, 4, 12, 1], [112, 4, 24, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 96, 'exponent': 112, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 7], 'faithful_reps': [[4, 0, 12]], 'familial': False, 'frattini_label': '16.5', 'frattini_quotient': '28.4', 'hash': 153, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [2, 2, 4], 'inner_gens': [[1, 14, 42], [1, 14, 252], [239, 238, 28]], 'inner_hash': 3, 'inner_nilpotent': True, 'inner_order': 16, 'inner_split': False, 'inner_tex': 'C_2^2:C_4', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 48, 'irrQ_dim': 48, 'irrR_degree': 8, 'irrep_stats': [[1, 112], [2, 28], [4, 14]], 'label': '448.153', 'linC_count': 12, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 4, 'linQ_dim': 14, 'linQ_dim_count': 4, 'linR_count': 6, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'OD32:C14', 'ngens': 7, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 154, 'number_divisions': 24, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 50, 'number_subgroup_classes': 58, 'number_subgroups': 90, 'old_label': None, 'order': 448, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 7], [4, 8], [7, 6], [8, 16], [14, 42], [16, 32], [28, 48], [56, 96], [112, 192]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 2, 6], 'outer_gen_pows': [0, 14, 14, 0], 'outer_gens': [[1, 14, 35], [1, 238, 84], [1, 14, 140], [3, 14, 28]], 'outer_group': '48.52', 'outer_hash': 52, 'outer_nilpotent': True, 'outer_order': 48, 'outer_permdeg': 48, 'outer_perms': [258990264234361916856241649812747516217805729069704436344041, 539270565301384712391350752825326490102310813127134362694884, 804100940990094143105768796752154766001606827327843194139938, 1068365096871832537994110931444367922661996934484159491261696], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 23, 'pgroup': 0, 'primary_abelian_invariants': [2, 8, 7], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 3], [6, 4], [8, 1], [12, 4], [24, 3], [48, 1]], 'representations': {'PC': {'code': 304468069466144578559474438496, 'gens': [1, 3, 4], 'pres': [7, -2, -7, -2, 2, -2, -2, -2, 14, 1179, 521, 80, 9804, 102, 124]}, 'Perm': {'d': 23, 'gens': [17605992914703857664000, 6423296499285120, 4320, 87660961920, 8184768936557538124800, 3474203986446215823360, 1126440053169940897920]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 56], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '\\OD_{32}:C_{14}', 'transitive_degree': 112, '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: 110282431
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 153, 'group_order': 448, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 110282497
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 153, 'group_order': 448, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 224, 'size': 1}
  • id: 110282508
    {'aut_label': '2B', 'centralizer': '2.a1.a1', 'counter': 3, 'group_counter': 153, 'group_order': 448, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 14, 'size': 2}
  • id: 110282519
    {'aut_label': '2C', 'centralizer': '4.a1.a1', 'counter': 4, 'group_counter': 153, 'group_order': 448, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 7, 'size': 4}
  • id: 110282530
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 153, 'group_order': 448, 'label': '4A1', 'order': 4, 'powers': [2, 6, 6], 'representative': 112, 'size': 1}
  • id: 110282541
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 153, 'group_order': 448, 'label': '4A-1', 'order': 4, 'powers': [2, 5, 5], 'representative': 336, 'size': 1}
  • id: 110282552
    {'aut_label': '4B', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 153, 'group_order': 448, 'label': '4B', 'order': 4, 'powers': [2, 7, 7], 'representative': 350, 'size': 2}
  • id: 110282563
    {'aut_label': '4C', 'centralizer': '4.a1.a1', 'counter': 8, 'group_counter': 153, 'group_order': 448, 'label': '4C', 'order': 4, 'powers': [2, 8, 8], 'representative': 343, 'size': 4}
  • id: 110282574
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 153, 'group_order': 448, 'label': '7A1', 'order': 7, 'powers': [11, 13, 1], 'representative': 4, 'size': 1}
  • id: 110282432
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 153, 'group_order': 448, 'label': '7A-1', 'order': 7, 'powers': [12, 14, 1], 'representative': 10, 'size': 1}
  • id: 110282443
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 153, 'group_order': 448, 'label': '7A2', 'order': 7, 'powers': [14, 10, 1], 'representative': 8, 'size': 1}
  • id: 110282454
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 153, 'group_order': 448, 'label': '7A-2', 'order': 7, 'powers': [13, 9, 1], 'representative': 6, 'size': 1}
  • id: 110282465
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 153, 'group_order': 448, 'label': '7A3', 'order': 7, 'powers': [10, 11, 1], 'representative': 12, 'size': 1}
  • id: 110282476
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 153, 'group_order': 448, 'label': '7A-3', 'order': 7, 'powers': [9, 12, 1], 'representative': 2, 'size': 1}
  • id: 110282487
    {'aut_label': '8A1', 'centralizer': '2.b1.a1', 'counter': 15, 'group_counter': 153, 'group_order': 448, 'label': '8A1', 'order': 8, 'powers': [6, 16, 16], 'representative': 392, 'size': 2}
  • id: 110282493
    {'aut_label': '8A1', 'centralizer': '2.b1.a1', 'counter': 16, 'group_counter': 153, 'group_order': 448, 'label': '8A-1', 'order': 8, 'powers': [5, 15, 15], 'representative': 56, 'size': 2}
  • id: 110282494
    {'aut_label': '8A1', 'centralizer': '2.b1.b1', 'counter': 17, 'group_counter': 153, 'group_order': 448, 'label': '8B1', 'order': 8, 'powers': [6, 18, 18], 'representative': 406, 'size': 2}
  • id: 110282495
    {'aut_label': '8A1', 'centralizer': '2.b1.b1', 'counter': 18, 'group_counter': 153, 'group_order': 448, 'label': '8B-1', 'order': 8, 'powers': [5, 17, 17], 'representative': 70, 'size': 2}
  • id: 110282496
    {'aut_label': '8C1', 'centralizer': '4.c1.a1', 'counter': 19, 'group_counter': 153, 'group_order': 448, 'label': '8C1', 'order': 8, 'powers': [5, 20, 20], 'representative': 175, 'size': 4}
  • id: 110282498
    {'aut_label': '8C1', 'centralizer': '4.c1.a1', 'counter': 20, 'group_counter': 153, 'group_order': 448, 'label': '8C-1', 'order': 8, 'powers': [6, 19, 19], 'representative': 63, 'size': 4}
  • id: 110282499
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 153, 'group_order': 448, 'label': '14A1', 'order': 14, 'powers': [11, 23, 2], 'representative': 228, 'size': 1}
  • id: 110282500
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 153, 'group_order': 448, 'label': '14A-1', 'order': 14, 'powers': [12, 24, 2], 'representative': 234, 'size': 1}
  • id: 110282501
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 153, 'group_order': 448, 'label': '14A3', 'order': 14, 'powers': [10, 26, 2], 'representative': 236, 'size': 1}
  • id: 110282502
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 153, 'group_order': 448, 'label': '14A-3', 'order': 14, 'powers': [9, 25, 2], 'representative': 226, 'size': 1}
  • id: 110282503
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 153, 'group_order': 448, 'label': '14A5', 'order': 14, 'powers': [13, 21, 2], 'representative': 230, 'size': 1}
  • id: 110282504
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 153, 'group_order': 448, 'label': '14A-5', 'order': 14, 'powers': [14, 22, 2], 'representative': 232, 'size': 1}
  • id: 110282505
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 153, 'group_order': 448, 'label': '14B1', 'order': 14, 'powers': [9, 29, 3], 'representative': 16, 'size': 2}
  • id: 110282506
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 153, 'group_order': 448, 'label': '14B-1', 'order': 14, 'powers': [10, 30, 3], 'representative': 26, 'size': 2}
  • id: 110282507
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 153, 'group_order': 448, 'label': '14B3', 'order': 14, 'powers': [13, 32, 3], 'representative': 20, 'size': 2}
  • id: 110282509
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 153, 'group_order': 448, 'label': '14B-3', 'order': 14, 'powers': [14, 31, 3], 'representative': 22, 'size': 2}
  • id: 110282510
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 153, 'group_order': 448, 'label': '14B5', 'order': 14, 'powers': [12, 27, 3], 'representative': 24, 'size': 2}
  • id: 110282511
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 153, 'group_order': 448, 'label': '14B-5', 'order': 14, 'powers': [11, 28, 3], 'representative': 18, 'size': 2}
  • id: 110282512
    {'aut_label': '14C1', 'centralizer': '4.a1.a1', 'counter': 33, 'group_counter': 153, 'group_order': 448, 'label': '14C1', 'order': 14, 'powers': [14, 35, 4], 'representative': 1, 'size': 4}
  • id: 110282513
    {'aut_label': '14C1', 'centralizer': '4.a1.a1', 'counter': 34, 'group_counter': 153, 'group_order': 448, 'label': '14C-1', 'order': 14, 'powers': [13, 36, 4], 'representative': 13, 'size': 4}
  • id: 110282514
    {'aut_label': '14C1', 'centralizer': '4.a1.a1', 'counter': 35, 'group_counter': 153, 'group_order': 448, 'label': '14C3', 'order': 14, 'powers': [12, 38, 4], 'representative': 3, 'size': 4}
  • id: 110282515
    {'aut_label': '14C1', 'centralizer': '4.a1.a1', 'counter': 36, 'group_counter': 153, 'group_order': 448, 'label': '14C-3', 'order': 14, 'powers': [11, 37, 4], 'representative': 11, 'size': 4}
  • id: 110282516
    {'aut_label': '14C1', 'centralizer': '4.a1.a1', 'counter': 37, 'group_counter': 153, 'group_order': 448, 'label': '14C5', 'order': 14, 'powers': [10, 33, 4], 'representative': 5, 'size': 4}
  • id: 110282517
    {'aut_label': '14C1', 'centralizer': '4.a1.a1', 'counter': 38, 'group_counter': 153, 'group_order': 448, 'label': '14C-5', 'order': 14, 'powers': [9, 34, 4], 'representative': 9, 'size': 4}
  • id: 110282518
    {'aut_label': '16A1', 'centralizer': '4.e1.a1', 'counter': 39, 'group_counter': 153, 'group_order': 448, 'label': '16A1', 'order': 16, 'powers': [15, 41, 40], 'representative': 196, 'size': 4}
  • id: 110282520
    {'aut_label': '16A1', 'centralizer': '4.e1.a1', 'counter': 40, 'group_counter': 153, 'group_order': 448, 'label': '16A-1', 'order': 16, 'powers': [16, 42, 39], 'representative': 252, 'size': 4}
  • id: 110282521
    {'aut_label': '16A1', 'centralizer': '4.e1.a1', 'counter': 41, 'group_counter': 153, 'group_order': 448, 'label': '16A3', 'order': 16, 'powers': [16, 39, 42], 'representative': 140, 'size': 4}
  • id: 110282522
    {'aut_label': '16A1', 'centralizer': '4.e1.a1', 'counter': 42, 'group_counter': 153, 'group_order': 448, 'label': '16A-3', 'order': 16, 'powers': [15, 40, 41], 'representative': 308, 'size': 4}
  • id: 110282523
    {'aut_label': '16A1', 'centralizer': '4.e1.b1', 'counter': 43, 'group_counter': 153, 'group_order': 448, 'label': '16B1', 'order': 16, 'powers': [17, 45, 44], 'representative': 441, 'size': 4}
  • id: 110282524
    {'aut_label': '16A1', 'centralizer': '4.e1.b1', 'counter': 44, 'group_counter': 153, 'group_order': 448, 'label': '16B-1', 'order': 16, 'powers': [18, 46, 43], 'representative': 259, 'size': 4}
  • id: 110282525
    {'aut_label': '16A1', 'centralizer': '4.e1.b1', 'counter': 45, 'group_counter': 153, 'group_order': 448, 'label': '16B3', 'order': 16, 'powers': [18, 43, 46], 'representative': 147, 'size': 4}
  • id: 110282526
    {'aut_label': '16A1', 'centralizer': '4.e1.b1', 'counter': 46, 'group_counter': 153, 'group_order': 448, 'label': '16B-3', 'order': 16, 'powers': [17, 44, 45], 'representative': 105, 'size': 4}
  • id: 110282527
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 153, 'group_order': 448, 'label': '28A1', 'order': 28, 'powers': [21, 49, 5], 'representative': 338, 'size': 1}
  • id: 110282528
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 153, 'group_order': 448, 'label': '28A-1', 'order': 28, 'powers': [22, 50, 6], 'representative': 124, 'size': 1}
  • id: 110282529
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 153, 'group_order': 448, 'label': '28A3', 'order': 28, 'powers': [23, 53, 6], 'representative': 118, 'size': 1}
  • id: 110282531
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 153, 'group_order': 448, 'label': '28A-3', 'order': 28, 'powers': [24, 54, 5], 'representative': 344, 'size': 1}
  • id: 110282532
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 153, 'group_order': 448, 'label': '28A5', 'order': 28, 'powers': [25, 58, 5], 'representative': 346, 'size': 1}
  • id: 110282533
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 153, 'group_order': 448, 'label': '28A-5', 'order': 28, 'powers': [26, 57, 6], 'representative': 116, 'size': 1}
  • id: 110282534
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 153, 'group_order': 448, 'label': '28A9', 'order': 28, 'powers': [26, 48, 5], 'representative': 340, 'size': 1}
  • id: 110282535
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 153, 'group_order': 448, 'label': '28A-9', 'order': 28, 'powers': [25, 47, 6], 'representative': 122, 'size': 1}
  • id: 110282536
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 153, 'group_order': 448, 'label': '28A11', 'order': 28, 'powers': [24, 51, 6], 'representative': 120, 'size': 1}
  • id: 110282537
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 153, 'group_order': 448, 'label': '28A-11', 'order': 28, 'powers': [23, 52, 5], 'representative': 342, 'size': 1}
  • id: 110282538
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 153, 'group_order': 448, 'label': '28A13', 'order': 28, 'powers': [22, 55, 5], 'representative': 348, 'size': 1}
  • id: 110282539
    {'aut_label': '28A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 153, 'group_order': 448, 'label': '28A-13', 'order': 28, 'powers': [21, 56, 6], 'representative': 114, 'size': 1}
  • id: 110282540
    {'aut_label': '28B1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 153, 'group_order': 448, 'label': '28B1', 'order': 28, 'powers': [21, 61, 7], 'representative': 128, 'size': 2}
  • id: 110282542
    {'aut_label': '28B1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 153, 'group_order': 448, 'label': '28B-1', 'order': 28, 'powers': [22, 62, 7], 'representative': 138, 'size': 2}
  • id: 110282543
    {'aut_label': '28B1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 153, 'group_order': 448, 'label': '28B3', 'order': 28, 'powers': [23, 64, 7], 'representative': 132, 'size': 2}
  • id: 110282544
    {'aut_label': '28B1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 153, 'group_order': 448, 'label': '28B-3', 'order': 28, 'powers': [24, 63, 7], 'representative': 134, 'size': 2}
  • id: 110282545
    {'aut_label': '28B1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 153, 'group_order': 448, 'label': '28B5', 'order': 28, 'powers': [25, 59, 7], 'representative': 136, 'size': 2}
  • id: 110282546
    {'aut_label': '28B1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 153, 'group_order': 448, 'label': '28B-5', 'order': 28, 'powers': [26, 60, 7], 'representative': 130, 'size': 2}
  • id: 110282547
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 65, 'group_counter': 153, 'group_order': 448, 'label': '28C1', 'order': 28, 'powers': [24, 67, 8], 'representative': 113, 'size': 4}
  • id: 110282548
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 66, 'group_counter': 153, 'group_order': 448, 'label': '28C-1', 'order': 28, 'powers': [23, 68, 8], 'representative': 125, 'size': 4}
  • id: 110282549
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 67, 'group_counter': 153, 'group_order': 448, 'label': '28C3', 'order': 28, 'powers': [25, 70, 8], 'representative': 115, 'size': 4}
  • id: 110282550
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 68, 'group_counter': 153, 'group_order': 448, 'label': '28C-3', 'order': 28, 'powers': [26, 69, 8], 'representative': 123, 'size': 4}
  • id: 110282551
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 69, 'group_counter': 153, 'group_order': 448, 'label': '28C5', 'order': 28, 'powers': [22, 65, 8], 'representative': 117, 'size': 4}
  • id: 110282553
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 70, 'group_counter': 153, 'group_order': 448, 'label': '28C-5', 'order': 28, 'powers': [21, 66, 8], 'representative': 121, 'size': 4}
  • id: 110282554
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 71, 'group_counter': 153, 'group_order': 448, 'label': '56A1', 'order': 56, 'powers': [55, 73, 15], 'representative': 60, 'size': 2}
  • id: 110282555
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 72, 'group_counter': 153, 'group_order': 448, 'label': '56A-1', 'order': 56, 'powers': [56, 74, 16], 'representative': 402, 'size': 2}
  • id: 110282556
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 73, 'group_counter': 153, 'group_order': 448, 'label': '56A3', 'order': 56, 'powers': [51, 77, 16], 'representative': 180, 'size': 2}
  • id: 110282557
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 74, 'group_counter': 153, 'group_order': 448, 'label': '56A-3', 'order': 56, 'powers': [52, 78, 15], 'representative': 282, 'size': 2}
  • id: 110282558
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 75, 'group_counter': 153, 'group_order': 448, 'label': '56A5', 'order': 56, 'powers': [48, 82, 15], 'representative': 286, 'size': 2}
  • id: 110282559
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 76, 'group_counter': 153, 'group_order': 448, 'label': '56A-5', 'order': 56, 'powers': [47, 81, 16], 'representative': 176, 'size': 2}
  • id: 110282560
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 77, 'group_counter': 153, 'group_order': 448, 'label': '56A9', 'order': 56, 'powers': [58, 72, 15], 'representative': 64, 'size': 2}
  • id: 110282561
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 78, 'group_counter': 153, 'group_order': 448, 'label': '56A-9', 'order': 56, 'powers': [57, 71, 16], 'representative': 398, 'size': 2}
  • id: 110282562
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 79, 'group_counter': 153, 'group_order': 448, 'label': '56A11', 'order': 56, 'powers': [53, 75, 16], 'representative': 170, 'size': 2}
  • id: 110282564
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 80, 'group_counter': 153, 'group_order': 448, 'label': '56A-11', 'order': 56, 'powers': [54, 76, 15], 'representative': 292, 'size': 2}
  • id: 110282565
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 81, 'group_counter': 153, 'group_order': 448, 'label': '56A13', 'order': 56, 'powers': [49, 79, 15], 'representative': 290, 'size': 2}
  • id: 110282566
    {'aut_label': '56A1', 'centralizer': '2.b1.a1', 'counter': 82, 'group_counter': 153, 'group_order': 448, 'label': '56A-13', 'order': 56, 'powers': [50, 80, 16], 'representative': 172, 'size': 2}
  • id: 110282567
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 83, 'group_counter': 153, 'group_order': 448, 'label': '56B1', 'order': 56, 'powers': [52, 85, 17], 'representative': 72, 'size': 2}
  • id: 110282568
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 84, 'group_counter': 153, 'group_order': 448, 'label': '56B-1', 'order': 56, 'powers': [51, 86, 18], 'representative': 418, 'size': 2}
  • id: 110282569
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 85, 'group_counter': 153, 'group_order': 448, 'label': '56B3', 'order': 56, 'powers': [57, 89, 18], 'representative': 188, 'size': 2}
  • id: 110282570
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 86, 'group_counter': 153, 'group_order': 448, 'label': '56B-3', 'order': 56, 'powers': [58, 90, 17], 'representative': 302, 'size': 2}
  • id: 110282571
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 87, 'group_counter': 153, 'group_order': 448, 'label': '56B5', 'order': 56, 'powers': [49, 94, 17], 'representative': 304, 'size': 2}
  • id: 110282572
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 88, 'group_counter': 153, 'group_order': 448, 'label': '56B-5', 'order': 56, 'powers': [50, 93, 18], 'representative': 186, 'size': 2}
  • id: 110282573
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 89, 'group_counter': 153, 'group_order': 448, 'label': '56B9', 'order': 56, 'powers': [55, 84, 17], 'representative': 74, 'size': 2}
  • id: 110282575
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 90, 'group_counter': 153, 'group_order': 448, 'label': '56B-9', 'order': 56, 'powers': [56, 83, 18], 'representative': 416, 'size': 2}
  • id: 110282576
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 91, 'group_counter': 153, 'group_order': 448, 'label': '56B11', 'order': 56, 'powers': [47, 87, 18], 'representative': 190, 'size': 2}
  • id: 110282577
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 92, 'group_counter': 153, 'group_order': 448, 'label': '56B-11', 'order': 56, 'powers': [48, 88, 17], 'representative': 300, 'size': 2}
  • id: 110282578
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 93, 'group_counter': 153, 'group_order': 448, 'label': '56B13', 'order': 56, 'powers': [54, 91, 17], 'representative': 306, 'size': 2}
  • id: 110282579
    {'aut_label': '56A1', 'centralizer': '2.b1.b1', 'counter': 94, 'group_counter': 153, 'group_order': 448, 'label': '56B-13', 'order': 56, 'powers': [53, 92, 18], 'representative': 184, 'size': 2}
  • id: 110282580
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 95, 'group_counter': 153, 'group_order': 448, 'label': '56C1', 'order': 56, 'powers': [47, 97, 19], 'representative': 57, 'size': 4}
  • id: 110282581
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 96, 'group_counter': 153, 'group_order': 448, 'label': '56C-1', 'order': 56, 'powers': [48, 98, 20], 'representative': 181, 'size': 4}
  • id: 110282582
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 97, 'group_counter': 153, 'group_order': 448, 'label': '56C3', 'order': 56, 'powers': [49, 101, 20], 'representative': 171, 'size': 4}
  • id: 110282583
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 98, 'group_counter': 153, 'group_order': 448, 'label': '56C-3', 'order': 56, 'powers': [50, 102, 19], 'representative': 67, 'size': 4}
  • id: 110282584
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 99, 'group_counter': 153, 'group_order': 448, 'label': '56C5', 'order': 56, 'powers': [51, 106, 19], 'representative': 61, 'size': 4}
  • id: 110282433
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 100, 'group_counter': 153, 'group_order': 448, 'label': '56C-5', 'order': 56, 'powers': [52, 105, 20], 'representative': 177, 'size': 4}
  • id: 110282434
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 101, 'group_counter': 153, 'group_order': 448, 'label': '56C9', 'order': 56, 'powers': [53, 96, 19], 'representative': 65, 'size': 4}
  • id: 110282435
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 102, 'group_counter': 153, 'group_order': 448, 'label': '56C-9', 'order': 56, 'powers': [54, 95, 20], 'representative': 173, 'size': 4}
  • id: 110282436
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 103, 'group_counter': 153, 'group_order': 448, 'label': '56C11', 'order': 56, 'powers': [55, 99, 20], 'representative': 179, 'size': 4}
  • id: 110282437
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 104, 'group_counter': 153, 'group_order': 448, 'label': '56C-11', 'order': 56, 'powers': [56, 100, 19], 'representative': 59, 'size': 4}
  • id: 110282438
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 105, 'group_counter': 153, 'group_order': 448, 'label': '56C13', 'order': 56, 'powers': [57, 103, 19], 'representative': 69, 'size': 4}
  • id: 110282439
    {'aut_label': '56C1', 'centralizer': '4.c1.a1', 'counter': 106, 'group_counter': 153, 'group_order': 448, 'label': '56C-13', 'order': 56, 'powers': [58, 104, 20], 'representative': 169, 'size': 4}
  • id: 110282440
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 107, 'group_counter': 153, 'group_order': 448, 'label': '112A1', 'order': 112, 'powers': [71, 109, 39], 'representative': 30, 'size': 4}
  • id: 110282441
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 108, 'group_counter': 153, 'group_order': 448, 'label': '112A-1', 'order': 112, 'powers': [72, 110, 40], 'representative': 208, 'size': 4}
  • id: 110282442
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 109, 'group_counter': 153, 'group_order': 448, 'label': '112A3', 'order': 112, 'powers': [73, 113, 41], 'representative': 90, 'size': 4}
  • id: 110282444
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 110, 'group_counter': 153, 'group_order': 448, 'label': '112A-3', 'order': 112, 'powers': [74, 114, 42], 'representative': 148, 'size': 4}
  • id: 110282445
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 111, 'group_counter': 153, 'group_order': 448, 'label': '112A5', 'order': 112, 'powers': [75, 119, 42], 'representative': 150, 'size': 4}
  • id: 110282446
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 112, 'group_counter': 153, 'group_order': 448, 'label': '112A-5', 'order': 112, 'powers': [76, 120, 41], 'representative': 88, 'size': 4}
  • id: 110282447
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 113, 'group_counter': 153, 'group_order': 448, 'label': '112A9', 'order': 112, 'powers': [77, 129, 39], 'representative': 32, 'size': 4}
  • id: 110282448
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 114, 'group_counter': 153, 'group_order': 448, 'label': '112A-9', 'order': 112, 'powers': [78, 130, 40], 'representative': 206, 'size': 4}
  • id: 110282449
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 115, 'group_counter': 153, 'group_order': 448, 'label': '112A11', 'order': 112, 'powers': [79, 126, 41], 'representative': 92, 'size': 4}
  • id: 110282450
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 116, 'group_counter': 153, 'group_order': 448, 'label': '112A-11', 'order': 112, 'powers': [80, 125, 42], 'representative': 146, 'size': 4}
  • id: 110282451
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 117, 'group_counter': 153, 'group_order': 448, 'label': '112A13', 'order': 112, 'powers': [81, 122, 42], 'representative': 152, 'size': 4}
  • id: 110282452
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 118, 'group_counter': 153, 'group_order': 448, 'label': '112A-13', 'order': 112, 'powers': [82, 121, 41], 'representative': 86, 'size': 4}
  • id: 110282453
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 119, 'group_counter': 153, 'group_order': 448, 'label': '112A15', 'order': 112, 'powers': [82, 116, 40], 'representative': 198, 'size': 4}
  • id: 110282455
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 120, 'group_counter': 153, 'group_order': 448, 'label': '112A-15', 'order': 112, 'powers': [81, 115, 39], 'representative': 40, 'size': 4}
  • id: 110282456
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 121, 'group_counter': 153, 'group_order': 448, 'label': '112A17', 'order': 112, 'powers': [80, 112, 39], 'representative': 34, 'size': 4}
  • id: 110282457
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 122, 'group_counter': 153, 'group_order': 448, 'label': '112A-17', 'order': 112, 'powers': [79, 111, 40], 'representative': 204, 'size': 4}
  • id: 110282458
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 123, 'group_counter': 153, 'group_order': 448, 'label': '112A19', 'order': 112, 'powers': [78, 107, 41], 'representative': 94, 'size': 4}
  • id: 110282459
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 124, 'group_counter': 153, 'group_order': 448, 'label': '112A-19', 'order': 112, 'powers': [77, 108, 42], 'representative': 144, 'size': 4}
  • id: 110282460
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 125, 'group_counter': 153, 'group_order': 448, 'label': '112A23', 'order': 112, 'powers': [76, 117, 40], 'representative': 200, 'size': 4}
  • id: 110282461
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 126, 'group_counter': 153, 'group_order': 448, 'label': '112A-23', 'order': 112, 'powers': [75, 118, 39], 'representative': 38, 'size': 4}
  • id: 110282462
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 127, 'group_counter': 153, 'group_order': 448, 'label': '112A25', 'order': 112, 'powers': [74, 123, 39], 'representative': 36, 'size': 4}
  • id: 110282463
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 128, 'group_counter': 153, 'group_order': 448, 'label': '112A-25', 'order': 112, 'powers': [73, 124, 40], 'representative': 202, 'size': 4}
  • id: 110282464
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 129, 'group_counter': 153, 'group_order': 448, 'label': '112A27', 'order': 112, 'powers': [72, 127, 41], 'representative': 96, 'size': 4}
  • id: 110282466
    {'aut_label': '112A1', 'centralizer': '4.e1.a1', 'counter': 130, 'group_counter': 153, 'group_order': 448, 'label': '112A-27', 'order': 112, 'powers': [71, 128, 42], 'representative': 142, 'size': 4}
  • id: 110282467
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 131, 'group_counter': 153, 'group_order': 448, 'label': '112B1', 'order': 112, 'powers': [83, 133, 43], 'representative': 29, 'size': 4}
  • id: 110282468
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 132, 'group_counter': 153, 'group_order': 448, 'label': '112B-1', 'order': 112, 'powers': [84, 134, 44], 'representative': 209, 'size': 4}
  • id: 110282469
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 133, 'group_counter': 153, 'group_order': 448, 'label': '112B3', 'order': 112, 'powers': [85, 137, 45], 'representative': 87, 'size': 4}
  • id: 110282470
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 134, 'group_counter': 153, 'group_order': 448, 'label': '112B-3', 'order': 112, 'powers': [86, 138, 46], 'representative': 151, 'size': 4}
  • id: 110282471
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 135, 'group_counter': 153, 'group_order': 448, 'label': '112B5', 'order': 112, 'powers': [87, 143, 46], 'representative': 145, 'size': 4}
  • id: 110282472
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 136, 'group_counter': 153, 'group_order': 448, 'label': '112B-5', 'order': 112, 'powers': [88, 144, 45], 'representative': 93, 'size': 4}
  • id: 110282473
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 137, 'group_counter': 153, 'group_order': 448, 'label': '112B9', 'order': 112, 'powers': [89, 153, 43], 'representative': 37, 'size': 4}
  • id: 110282474
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 138, 'group_counter': 153, 'group_order': 448, 'label': '112B-9', 'order': 112, 'powers': [90, 154, 44], 'representative': 201, 'size': 4}
  • id: 110282475
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 139, 'group_counter': 153, 'group_order': 448, 'label': '112B11', 'order': 112, 'powers': [91, 150, 45], 'representative': 95, 'size': 4}
  • id: 110282477
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 140, 'group_counter': 153, 'group_order': 448, 'label': '112B-11', 'order': 112, 'powers': [92, 149, 46], 'representative': 143, 'size': 4}
  • id: 110282478
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 141, 'group_counter': 153, 'group_order': 448, 'label': '112B13', 'order': 112, 'powers': [93, 146, 46], 'representative': 153, 'size': 4}
  • id: 110282479
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 142, 'group_counter': 153, 'group_order': 448, 'label': '112B-13', 'order': 112, 'powers': [94, 145, 45], 'representative': 85, 'size': 4}
  • id: 110282480
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 143, 'group_counter': 153, 'group_order': 448, 'label': '112B15', 'order': 112, 'powers': [94, 140, 44], 'representative': 197, 'size': 4}
  • id: 110282481
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 144, 'group_counter': 153, 'group_order': 448, 'label': '112B-15', 'order': 112, 'powers': [93, 139, 43], 'representative': 41, 'size': 4}
  • id: 110282482
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 145, 'group_counter': 153, 'group_order': 448, 'label': '112B17', 'order': 112, 'powers': [92, 136, 43], 'representative': 31, 'size': 4}
  • id: 110282483
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 146, 'group_counter': 153, 'group_order': 448, 'label': '112B-17', 'order': 112, 'powers': [91, 135, 44], 'representative': 207, 'size': 4}
  • id: 110282484
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 147, 'group_counter': 153, 'group_order': 448, 'label': '112B19', 'order': 112, 'powers': [90, 131, 45], 'representative': 89, 'size': 4}
  • id: 110282485
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 148, 'group_counter': 153, 'group_order': 448, 'label': '112B-19', 'order': 112, 'powers': [89, 132, 46], 'representative': 149, 'size': 4}
  • id: 110282486
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 149, 'group_counter': 153, 'group_order': 448, 'label': '112B23', 'order': 112, 'powers': [88, 141, 44], 'representative': 205, 'size': 4}
  • id: 110282488
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 150, 'group_counter': 153, 'group_order': 448, 'label': '112B-23', 'order': 112, 'powers': [87, 142, 43], 'representative': 33, 'size': 4}
  • id: 110282489
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 151, 'group_counter': 153, 'group_order': 448, 'label': '112B25', 'order': 112, 'powers': [86, 147, 43], 'representative': 39, 'size': 4}
  • id: 110282490
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 152, 'group_counter': 153, 'group_order': 448, 'label': '112B-25', 'order': 112, 'powers': [85, 148, 44], 'representative': 199, 'size': 4}
  • id: 110282491
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 153, 'group_counter': 153, 'group_order': 448, 'label': '112B27', 'order': 112, 'powers': [84, 151, 45], 'representative': 97, 'size': 4}
  • id: 110282492
    {'aut_label': '112A1', 'centralizer': '4.e1.b1', 'counter': 154, 'group_counter': 153, 'group_order': 448, 'label': '112B-27', 'order': 112, 'powers': [83, 152, 46], 'representative': 141, '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: 4573772
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4573783
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 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: 4573789
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -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: 4573790
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4573791
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 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, 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, -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, 0, 0, 0], 'schur_index': 1}
  • id: 4573792
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -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, 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, -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, 0, 0, 0], 'schur_index': 1}
  • id: 4573780
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 2, 2, -2, 0, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573781
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 2, 2, -2, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573793
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1g', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573794
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1h', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573782
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.2c', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, 4, -4, 0, -4, -4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573795
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1i', 'multiplicity': 6, 'nt': [7, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4573773
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1j', 'multiplicity': 6, 'nt': [14, 1], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 6, 6, 6, -6, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -6, -6, 6, -6, -6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -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: 4573774
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1k', 'multiplicity': 6, 'nt': [14, 1], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 6, 6, 6, -6, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 6, 6, -6, 6, 6, -6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 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: 4573775
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1l', 'multiplicity': 6, 'nt': [14, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -6, -6, -6, -6, -6, -6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4573787
    {'cdim': 4, 'counter': 23, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.4a', 'multiplicity': 2, 'nt': [16, 104], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573776
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1m', 'multiplicity': 12, 'nt': [28, 1], 'qdim': 12, 'qvalues': [12, 12, 12, -12, 12, 12, 12, -12, -2, -2, -2, -2, -2, -2, -12, -12, -12, -12, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -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], 'schur_index': 1}
  • id: 4573777
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1n', 'multiplicity': 12, 'nt': [28, 1], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 12, 12, -2, -2, -2, -2, -2, -2, -12, -12, -12, -12, -12, -12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 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, 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], 'schur_index': 1}
  • id: 4573784
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.2d', 'multiplicity': 6, 'nt': [28, 5], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 12, 12, -12, 0, -2, -2, -2, -2, -2, -2, -12, -12, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573785
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.2e', 'multiplicity': 6, 'nt': [28, 5], 'qdim': 12, 'qvalues': [12, 12, -12, 0, 12, 12, -12, 0, -2, -2, -2, -2, -2, -2, 12, 12, -12, -12, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573778
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1o', 'multiplicity': 24, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, 24, -24, -24, -24, -24, 24, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573779
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.1p', 'multiplicity': 24, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, 24, 24, -24, -24, -24, -24, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573786
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.2f', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 0, -24, -24, 24, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4573788
    {'cdim': 4, 'counter': 24, 'faithful': True, 'group': '448.153', 'group_order': 448, 'image': None, 'label': '448.153.4b', 'multiplicity': 12, 'nt': [112, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 7189890
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 448, 'label': '448.153.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 7189956
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 224, 'label': '448.153.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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: 7189967
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 224, 'label': '448.153.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-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: 7189978
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 224, 'label': '448.153.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 7189989
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 112, 'label': '448.153.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 7190000
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 112, 'label': '448.153.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 7190011
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 112, 'label': '448.153.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 7190022
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 112, 'label': '448.153.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 7190033
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 9, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 56, 'label': '448.153.1g1', 'nt': [8, 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, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]]]}
  • id: 7189891
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 10, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 56, 'label': '448.153.1g2', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]]]}
  • id: 7189902
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 11, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 56, 'label': '448.153.1g3', 'nt': [8, 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, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]]]}
  • id: 7189913
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 12, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 56, 'label': '448.153.1g4', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]]]}
  • id: 7189924
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 13, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 56, 'label': '448.153.1h1', 'nt': [8, 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, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]]]}
  • id: 7189935
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 14, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 56, 'label': '448.153.1h2', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]]]}
  • id: 7189946
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 15, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 56, 'label': '448.153.1h3', 'nt': [8, 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, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]]]}
  • id: 7189952
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 16, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 56, 'label': '448.153.1h4', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]]]}
  • id: 7189953
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 17, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '7.1', 'image_order': 7, 'indicator': 0, 'kernel': '7.a1.a1', 'kernel_order': 64, 'label': '448.153.1i1', 'nt': [7, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -1]]]}
  • id: 7189954
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 18, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '7.1', 'image_order': 7, 'indicator': 0, 'kernel': '7.a1.a1', 'kernel_order': 64, 'label': '448.153.1i2', 'nt': [7, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 1]]]}
  • id: 7189955
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 19, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '7.1', 'image_order': 7, 'indicator': 0, 'kernel': '7.a1.a1', 'kernel_order': 64, 'label': '448.153.1i3', 'nt': [7, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -3]]]}
  • id: 7189957
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 20, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '7.1', 'image_order': 7, 'indicator': 0, 'kernel': '7.a1.a1', 'kernel_order': 64, 'label': '448.153.1i4', 'nt': [7, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 3]]]}
  • id: 7189958
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 21, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '7.1', 'image_order': 7, 'indicator': 0, 'kernel': '7.a1.a1', 'kernel_order': 64, 'label': '448.153.1i5', 'nt': [7, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 2]]]}
  • id: 7189959
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 22, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '7.1', 'image_order': 7, 'indicator': 0, 'kernel': '7.a1.a1', 'kernel_order': 64, 'label': '448.153.1i6', 'nt': [7, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -2]]]}
  • id: 7189960
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 23, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.b1', 'kernel_order': 32, 'label': '448.153.1j1', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[1, -2]], [[-1, 3]], [[1, -2]], [[-1, 3]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 3]], [[1, -1]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 1]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[1, -1]], [[1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, -3]], [[-1, 1]], [[1, -2]], [[-1, 3]], [[1, -2]], [[1, 3]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, 3]], [[-1, -2]], [[1, 2]], [[1, 2]], [[-1, -2]], [[1, 3]], [[-1, -1]]]}
  • id: 7189961
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 24, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.b1', 'kernel_order': 32, 'label': '448.153.1j2', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[1, 2]], [[-1, -3]], [[1, 2]], [[-1, -3]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -3]], [[1, 1]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -1]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 3]], [[-1, -1]], [[1, 2]], [[-1, -3]], [[1, 2]], [[1, -3]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, -3]], [[-1, 2]], [[1, -2]], [[1, -2]], [[-1, 2]], [[1, -3]], [[-1, 1]]]}
  • id: 7189962
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 25, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.b1', 'kernel_order': 32, 'label': '448.153.1j3', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 3]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -3]], [[1, 2]], [[1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 3]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[1, -3]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -3]], [[1, -3]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -2]], [[-1, 3]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[-1, 1]], [[1, -1]], [[-1, -3]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, -3]]]}
  • id: 7189963
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 26, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.b1', 'kernel_order': 32, 'label': '448.153.1j4', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -3]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 3]], [[1, -2]], [[1, 3]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, -3]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[1, 3]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 2]], [[-1, -3]], [[1, -1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[-1, -1]], [[1, 1]], [[-1, 3]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, 3]]]}
  • id: 7189964
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 27, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.b1', 'kernel_order': 32, 'label': '448.153.1j5', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[1, -3]], [[-1, 1]], [[1, -3]], [[-1, 1]], [[1, 3]], [[-1, -3]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[1, -3]], [[-1, 1]], [[1, -3]], [[1, 1]], [[-1, 2]], [[-1, -3]], [[1, 3]], [[-1, 2]], [[1, 1]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 1]], [[-1, 2]]]}
  • id: 7189965
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 28, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.b1', 'kernel_order': 32, 'label': '448.153.1j6', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[1, 3]], [[-1, -1]], [[1, 3]], [[-1, -1]], [[1, -3]], [[-1, 3]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[1, 3]], [[-1, -1]], [[1, 3]], [[1, -1]], [[-1, -2]], [[-1, 3]], [[1, -3]], [[-1, -2]], [[1, -1]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, -1]], [[-1, -2]]]}
  • id: 7189966
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 29, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.a1', 'kernel_order': 32, 'label': '448.153.1k1', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[1, 3]], [[-1, -2]], [[1, 3]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, 3]], [[-1, -1]], [[1, -3]], [[1, 2]], [[1, 1]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[1, -3]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[-1, -1]], [[-1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[1, 1]], [[-1, -2]], [[1, 3]], [[-1, -2]], [[-1, 3]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, 3]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 3]], [[1, -1]]]}
  • id: 7189968
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 30, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.a1', 'kernel_order': 32, 'label': '448.153.1k2', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[1, -3]], [[-1, 2]], [[1, -3]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -3]], [[-1, 1]], [[1, 3]], [[1, -2]], [[1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[1, 3]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[1, -1]], [[-1, 2]], [[1, -3]], [[-1, 2]], [[-1, -3]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, -3]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -3]], [[1, 1]]]}
  • id: 7189969
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 31, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.a1', 'kernel_order': 32, 'label': '448.153.1k3', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 3]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, -3]], [[-1, 2]], [[-1, -3]], [[1, -2]], [[1, -1]], [[1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[1, -2]], [[1, -1]], [[1, 3]], [[-1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -3]], [[-1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[1, 3]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, -3]], [[1, 1]], [[-1, -1]], [[1, -3]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -3]]]}
  • id: 7189970
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 32, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.a1', 'kernel_order': 32, 'label': '448.153.1k4', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -3]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, 3]], [[-1, -2]], [[-1, 3]], [[1, 2]], [[1, 1]], [[1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[1, 2]], [[1, 1]], [[1, -3]], [[-1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 3]], [[-1, 3]], [[1, 2]], [[1, -3]], [[1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[1, -3]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, 3]], [[1, -1]], [[-1, 1]], [[1, 3]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 3]]]}
  • id: 7189971
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 33, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.a1', 'kernel_order': 32, 'label': '448.153.1k5', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[1, 1]], [[-1, -3]], [[1, 1]], [[-1, 3]], [[1, -3]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, 3]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, -3]], [[1, 1]], [[-1, -3]], [[-1, 1]], [[1, 2]], [[1, -3]], [[-1, 3]], [[1, 2]], [[-1, 1]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 1]], [[1, 2]]]}
  • id: 7189972
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 34, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.b1.a1', 'kernel_order': 32, 'label': '448.153.1k6', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[1, -1]], [[-1, 3]], [[1, -1]], [[-1, -3]], [[1, 3]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, -3]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 3]], [[1, -1]], [[-1, 3]], [[-1, -1]], [[1, -2]], [[1, 3]], [[-1, -3]], [[1, -2]], [[-1, -1]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, -1]], [[1, -2]]]}
  • id: 7189973
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 35, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 32, 'label': '448.153.1l1', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, -1]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 3]], [[-1, -1]]]}
  • id: 7189974
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 36, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 32, 'label': '448.153.1l2', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 1]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -3]], [[-1, 1]]]}
  • id: 7189975
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 37, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 32, 'label': '448.153.1l3', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -3]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -3]]]}
  • id: 7189976
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 38, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 32, 'label': '448.153.1l4', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 3]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 3]]]}
  • id: 7189977
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 39, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 32, 'label': '448.153.1l5', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 2]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, 2]]]}
  • id: 7189979
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 40, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 32, 'label': '448.153.1l6', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -2]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, -2]]]}
  • id: 7189980
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 41, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m1', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 6]], [[1, 10]], [[-1, 4]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[1, 13]], [[-1, 5]], [[-1, 13]], [[-1, 5]], [[1, 1]], [[1, 13]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[1, 11]], [[1, 9]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 9]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 9]], [[1, 11]], [[-1, 13]], [[1, 5]], [[1, 13]], [[-1, 5]], [[1, 3]], [[1, 13]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 13]], [[-1, 1]], [[-1, 1]], [[-1, 13]], [[1, 5]], [[-1, 3]]]}
  • id: 7189990
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 50, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m10', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[1, 10]], [[1, 2]], [[-1, 4]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 3]], [[-1, 9]], [[-1, 5]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[-1, 11]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 9]], [[-1, 1]], [[1, 13]], [[1, 3]], [[-1, 9]], [[-1, 11]], [[-1, 13]], [[1, 13]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 13]], [[-1, 5]], [[-1, 9]], [[-1, 13]], [[1, 3]], [[1, 5]], [[1, 9]], [[1, 9]], [[1, 5]], [[1, 3]], [[-1, 13]]]}
  • id: 7189991
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 51, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m11', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 2]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 10]], [[-1, 4]], [[-1, 6]], [[1, 12]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 9]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[1, 13]], [[1, 3]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[1, 3]], [[1, 5]], [[-1, 13]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 13]], [[-1, 5]], [[-1, 13]], [[-1, 3]], [[1, 13]], [[1, 3]], [[1, 13]], [[1, 9]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[1, 1]], [[-1, 9]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 9]], [[1, 5]], [[1, 5]], [[1, 9]], [[1, 11]], [[-1, 1]]]}
  • id: 7189992
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 52, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m12', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 3]], [[1, 9]], [[1, 5]], [[-1, 13]], [[1, 3]], [[1, 13]], [[1, 11]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[-1, 13]], [[-1, 3]], [[1, 9]], [[1, 11]], [[1, 13]], [[-1, 13]], [[-1, 11]], [[1, 1]], [[1, 9]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 13]], [[1, 5]], [[1, 9]], [[1, 13]], [[-1, 3]], [[-1, 5]], [[-1, 9]], [[-1, 9]], [[-1, 5]], [[-1, 3]], [[1, 13]]]}
  • id: 7189981
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 42, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m2', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 6]], [[-1, 12]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 9]], [[-1, 13]], [[-1, 1]], [[-1, 11]], [[1, 9]], [[1, 11]], [[1, 5]], [[1, 13]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 13]], [[1, 3]], [[-1, 11]], [[-1, 9]], [[-1, 13]], [[1, 5]], [[1, 11]], [[-1, 11]], [[-1, 5]], [[1, 3]], [[-1, 13]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[-1, 11]], [[-1, 1]], [[-1, 13]], [[1, 11]], [[-1, 9]], [[1, 1]], [[1, 13]], [[1, 13]], [[1, 1]], [[-1, 9]], [[1, 11]]]}
  • id: 7189982
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 43, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m3', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 6]], [[1, 10]], [[-1, 4]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[-1, 13]], [[1, 5]], [[1, 13]], [[1, 5]], [[-1, 1]], [[-1, 13]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 9]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[1, 11]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 3]], [[-1, 5]], [[-1, 1]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[1, 13]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[-1, 3]], [[-1, 13]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[1, 13]], [[1, 1]], [[1, 1]], [[1, 13]], [[-1, 5]], [[1, 3]]]}
  • id: 7189983
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 44, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m4', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 9]], [[1, 13]], [[1, 1]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 13]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 13]], [[-1, 3]], [[1, 11]], [[1, 9]], [[1, 13]], [[-1, 5]], [[-1, 11]], [[1, 11]], [[1, 5]], [[-1, 3]], [[1, 13]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 1]], [[1, 9]], [[1, 1]], [[-1, 9]], [[1, 11]], [[1, 1]], [[1, 13]], [[-1, 11]], [[1, 9]], [[-1, 1]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[1, 9]], [[-1, 11]]]}
  • id: 7189984
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 45, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m5', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 12]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[-1, 13]], [[1, 3]], [[-1, 5]], [[1, 13]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[1, 13]], [[1, 3]], [[1, 5]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[-1, 13]], [[1, 9]], [[-1, 9]], [[1, 13]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[-1, 5]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 9]], [[-1, 11]], [[-1, 3]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 3]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 9]]]}
  • id: 7189985
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 46, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m6', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 10]], [[-1, 12]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[1, 3]], [[1, 13]], [[-1, 3]], [[1, 13]], [[1, 11]], [[1, 3]], [[1, 5]], [[1, 13]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 9]], [[-1, 1]], [[1, 9]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 5]], [[-1, 13]], [[1, 11]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[-1, 13]], [[1, 3]], [[1, 13]], [[1, 5]], [[1, 3]], [[1, 11]], [[-1, 5]], [[-1, 13]], [[-1, 3]], [[-1, 11]], [[-1, 11]], [[-1, 3]], [[-1, 13]], [[-1, 5]]]}
  • id: 7189986
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 47, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m7', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 6]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 12]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 11]], [[1, 1]], [[-1, 11]], [[1, 1]], [[1, 3]], [[1, 11]], [[1, 9]], [[1, 1]], [[-1, 9]], [[1, 13]], [[-1, 3]], [[1, 5]], [[-1, 13]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[1, 3]], [[1, 13]], [[-1, 9]], [[1, 9]], [[-1, 13]], [[-1, 5]], [[1, 3]], [[-1, 5]], [[1, 13]], [[1, 5]], [[-1, 13]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 9]], [[1, 11]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 3]], [[-1, 3]], [[-1, 11]], [[-1, 1]], [[-1, 9]]]}
  • id: 7189987
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 48, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m8', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 10]], [[-1, 12]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[-1, 3]], [[-1, 13]], [[1, 3]], [[-1, 13]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 5]], [[1, 13]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[1, 3]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[-1, 5]], [[-1, 3]], [[-1, 11]], [[1, 5]], [[1, 13]], [[1, 3]], [[1, 11]], [[1, 11]], [[1, 3]], [[1, 13]], [[1, 5]]]}
  • id: 7189988
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 49, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 16, 'label': '448.153.1m9', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 2]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 10]], [[-1, 4]], [[-1, 6]], [[1, 12]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 9]], [[1, 11]], [[-1, 9]], [[1, 11]], [[1, 5]], [[1, 9]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 3]], [[-1, 5]], [[-1, 13]], [[-1, 3]], [[-1, 13]], [[1, 3]], [[1, 13]], [[-1, 3]], [[-1, 5]], [[1, 13]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 13]], [[1, 5]], [[1, 13]], [[1, 3]], [[-1, 13]], [[-1, 3]], [[-1, 13]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[1, 11]], [[-1, 1]], [[1, 9]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 5]], [[-1, 9]], [[-1, 11]], [[1, 1]]]}
  • id: 7189993
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 53, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n1', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 10]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[-1, 5]], [[-1, 1]], [[1, 13]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[1, 11]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[1, 1]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 13]], [[1, 5]], [[-1, 13]], [[1, 5]], [[1, 3]], [[1, 13]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[1, 1]], [[-1, 13]], [[-1, 5]], [[-1, 3]]]}
  • id: 7190003
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 62, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n10', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 10]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[1, 10]], [[1, 6]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 9]], [[-1, 5]], [[1, 13]], [[1, 3]], [[1, 13]], [[-1, 11]], [[1, 9]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 1]], [[-1, 13]], [[1, 3]], [[-1, 9]], [[-1, 11]], [[1, 13]], [[-1, 13]], [[1, 11]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 13]], [[-1, 5]], [[1, 9]], [[-1, 13]], [[-1, 3]], [[1, 5]], [[-1, 9]], [[-1, 9]], [[1, 5]], [[-1, 3]], [[-1, 13]]]}
  • id: 7190004
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 63, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n11', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 10]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 2]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[1, 3]], [[1, 13]], [[1, 3]], [[1, 5]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[1, 3]], [[-1, 13]], [[-1, 3]], [[1, 13]], [[-1, 9]], [[1, 11]], [[1, 9]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[-1, 1]]]}
  • id: 7190005
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 64, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n12', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 10]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 9]], [[1, 5]], [[-1, 13]], [[-1, 3]], [[-1, 13]], [[1, 11]], [[-1, 9]], [[-1, 1]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[1, 13]], [[-1, 3]], [[1, 9]], [[1, 11]], [[-1, 13]], [[1, 13]], [[-1, 11]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 13]], [[1, 5]], [[-1, 9]], [[1, 13]], [[1, 3]], [[-1, 5]], [[1, 9]], [[1, 9]], [[-1, 5]], [[1, 3]], [[1, 13]]]}
  • id: 7189994
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 54, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n2', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 1]], [[1, 9]], [[-1, 1]], [[1, 9]], [[1, 13]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[1, 5]], [[1, 13]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 13]], [[1, 3]], [[1, 11]], [[-1, 9]], [[-1, 13]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[1, 3]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[-1, 11]], [[-1, 1]], [[1, 13]], [[1, 11]], [[1, 9]], [[1, 1]], [[-1, 13]], [[-1, 13]], [[1, 1]], [[1, 9]], [[1, 11]]]}
  • id: 7189995
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 55, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n3', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 2]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 13]], [[1, 5]], [[-1, 13]], [[1, 5]], [[1, 1]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 9]], [[1, 1]], [[-1, 11]], [[1, 9]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[1, 11]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[-1, 5]], [[-1, 3]], [[-1, 13]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 13]], [[-1, 1]], [[-1, 1]], [[1, 13]], [[1, 5]], [[1, 3]]]}
  • id: 7189996
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 56, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n4', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[-1, 13]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 11]], [[-1, 5]], [[-1, 13]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 13]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[1, 13]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 5]], [[-1, 3]], [[1, 13]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 9]], [[-1, 1]], [[1, 9]], [[1, 11]], [[1, 1]], [[-1, 13]], [[-1, 11]], [[-1, 9]], [[-1, 1]], [[1, 13]], [[1, 13]], [[-1, 1]], [[-1, 9]], [[-1, 11]]]}
  • id: 7189997
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 57, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n5', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 3]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[-1, 9]], [[-1, 13]], [[1, 3]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[1, 13]], [[-1, 5]], [[1, 13]], [[1, 3]], [[1, 5]], [[1, 9]], [[1, 1]], [[-1, 3]], [[-1, 13]], [[-1, 9]], [[1, 9]], [[1, 13]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 13]], [[1, 5]], [[-1, 13]], [[-1, 5]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 9]], [[-1, 11]], [[1, 3]], [[1, 9]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[-1, 3]], [[1, 11]], [[-1, 1]], [[1, 9]]]}
  • id: 7189998
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 58, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n6', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 8]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 3]], [[1, 13]], [[1, 3]], [[1, 13]], [[-1, 11]], [[1, 3]], [[1, 5]], [[-1, 13]], [[1, 5]], [[1, 1]], [[-1, 11]], [[1, 9]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 13]], [[1, 11]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[1, 11]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 9]], [[1, 3]], [[-1, 13]], [[-1, 3]], [[-1, 13]], [[1, 5]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[1, 13]], [[-1, 3]], [[1, 11]], [[1, 11]], [[-1, 3]], [[1, 13]], [[-1, 5]]]}
  • id: 7189999
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 59, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n7', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 1]], [[-1, 3]], [[1, 11]], [[1, 9]], [[-1, 1]], [[1, 9]], [[1, 13]], [[-1, 3]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[1, 13]], [[1, 9]], [[-1, 9]], [[-1, 13]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[1, 5]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[1, 11]], [[-1, 3]], [[-1, 9]], [[1, 1]], [[-1, 11]], [[1, 3]], [[1, 3]], [[-1, 11]], [[1, 1]], [[-1, 9]]]}
  • id: 7190001
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 60, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n8', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 4]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 6]], [[-1, 12]], [[1, 3]], [[-1, 13]], [[-1, 3]], [[-1, 13]], [[1, 11]], [[-1, 3]], [[-1, 5]], [[1, 13]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[1, 1]], [[-1, 9]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 5]], [[1, 13]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[1, 13]], [[1, 3]], [[1, 13]], [[-1, 5]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 13]], [[1, 3]], [[-1, 11]], [[-1, 11]], [[1, 3]], [[-1, 13]], [[1, 5]]]}
  • id: 7190002
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 61, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.a1.a1', 'kernel_order': 16, 'label': '448.153.1n9', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 10]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 2]], [[1, 4]], [[1, 12]], [[1, 8]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 9]], [[1, 11]], [[1, 9]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[-1, 13]], [[1, 3]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[1, 13]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 13]], [[1, 5]], [[-1, 13]], [[-1, 3]], [[1, 13]], [[1, 3]], [[-1, 13]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 5]], [[1, 1]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 5]], [[-1, 9]], [[1, 11]], [[1, 1]]]}
  • id: 7190006
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 65, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o1', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[-1, 7]], [[1, 7]], [[1, 21]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 20]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 10]], [[1, 22]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 22]], [[1, 2]], [[1, 18]], [[1, 22]], [[-1, 6]], [[-1, 2]], [[-1, 18]], [[1, 18]], [[1, 10]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[1, 18]], [[-1, 6]], [[-1, 26]], [[1, 22]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[1, 10]], [[1, 6]], [[-1, 5]], [[-1, 17]], [[-1, 19]], [[1, 17]], [[1, 9]], [[1, 19]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[-1, 25]], [[1, 9]], [[-1, 1]], [[-1, 25]], [[-1, 15]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 15]], [[1, 27]], [[-1, 3]], [[1, 23]], [[1, 25]], [[1, 13]], [[-1, 27]], [[1, 11]], [[-1, 15]], [[-1, 23]], [[1, 1]], [[-1, 11]], [[1, 15]], [[1, 25]], [[1, 1]], [[1, 19]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 13]], [[-1, 19]], [[-1, 9]], [[-1, 27]], [[-1, 17]], [[-1, 5]], [[-1, 23]], [[1, 23]], [[1, 5]], [[1, 17]], [[1, 27]]]}
  • id: 7190016
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 74, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o10', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[1, 24]], [[1, 22]], [[1, 10]], [[1, 10]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 26]], [[1, 18]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[-1, 6]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 18]], [[1, 22]], [[-1, 2]], [[1, 18]], [[-1, 10]], [[-1, 22]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[-1, 18]], [[-1, 22]], [[1, 22]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 18]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 26]], [[1, 10]], [[-1, 27]], [[1, 19]], [[-1, 13]], [[-1, 19]], [[1, 15]], [[1, 13]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 23]], [[1, 15]], [[1, 11]], [[-1, 23]], [[-1, 25]], [[-1, 9]], [[1, 11]], [[1, 9]], [[-1, 15]], [[1, 25]], [[-1, 17]], [[-1, 5]], [[1, 1]], [[1, 23]], [[1, 3]], [[1, 17]], [[-1, 9]], [[-1, 25]], [[-1, 1]], [[-1, 11]], [[1, 9]], [[1, 25]], [[1, 23]], [[-1, 11]], [[1, 13]], [[1, 5]], [[1, 27]], [[1, 5]], [[-1, 3]], [[-1, 13]], [[-1, 15]], [[1, 17]], [[1, 19]], [[-1, 27]], [[-1, 1]], [[1, 1]], [[1, 27]], [[-1, 19]], [[-1, 17]]]}
  • id: 7190017
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 75, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o11', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 12]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[-1, 21]], [[1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 20]], [[-1, 4]], [[-1, 6]], [[-1, 18]], [[-1, 18]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 22]], [[1, 22]], [[1, 6]], [[1, 22]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 10]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[1, 18]], [[1, 6]], [[-1, 26]], [[1, 26]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 26]], [[1, 18]], [[1, 22]], [[-1, 10]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[-1, 1]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[1, 13]], [[1, 15]], [[1, 25]], [[-1, 23]], [[-1, 25]], [[-1, 5]], [[1, 13]], [[1, 17]], [[-1, 5]], [[-1, 3]], [[-1, 19]], [[1, 17]], [[1, 19]], [[-1, 13]], [[1, 3]], [[-1, 11]], [[-1, 23]], [[1, 27]], [[1, 5]], [[1, 25]], [[1, 11]], [[-1, 19]], [[-1, 3]], [[-1, 27]], [[-1, 17]], [[1, 19]], [[1, 3]], [[1, 5]], [[-1, 17]], [[1, 15]], [[1, 23]], [[1, 1]], [[1, 23]], [[-1, 25]], [[-1, 15]], [[-1, 13]], [[1, 11]], [[1, 9]], [[-1, 1]], [[-1, 27]], [[1, 27]], [[1, 1]], [[-1, 9]], [[-1, 11]]]}
  • id: 7190018
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 76, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o12', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[-1, 21]], [[1, 21]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[1, 24]], [[1, 22]], [[1, 10]], [[1, 10]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 26]], [[1, 18]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[-1, 6]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 18]], [[1, 22]], [[-1, 2]], [[1, 18]], [[-1, 10]], [[-1, 22]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[-1, 18]], [[-1, 22]], [[1, 22]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 18]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 26]], [[1, 10]], [[1, 27]], [[-1, 19]], [[1, 13]], [[1, 19]], [[-1, 15]], [[-1, 13]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 23]], [[-1, 15]], [[-1, 11]], [[1, 23]], [[1, 25]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[1, 15]], [[-1, 25]], [[1, 17]], [[1, 5]], [[-1, 1]], [[-1, 23]], [[-1, 3]], [[-1, 17]], [[1, 9]], [[1, 25]], [[1, 1]], [[1, 11]], [[-1, 9]], [[-1, 25]], [[-1, 23]], [[1, 11]], [[-1, 13]], [[-1, 5]], [[-1, 27]], [[-1, 5]], [[1, 3]], [[1, 13]], [[1, 15]], [[-1, 17]], [[-1, 19]], [[1, 27]], [[1, 1]], [[-1, 1]], [[-1, 27]], [[1, 19]], [[1, 17]]]}
  • id: 7190019
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 77, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o13', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 12]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 20]], [[-1, 4]], [[1, 6]], [[1, 18]], [[1, 18]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 10]], [[1, 6]], [[-1, 26]], [[1, 10]], [[-1, 18]], [[-1, 6]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 26]], [[-1, 18]], [[-1, 22]], [[1, 10]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 2]], [[1, 18]], [[1, 15]], [[-1, 23]], [[1, 1]], [[1, 23]], [[-1, 27]], [[-1, 1]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 19]], [[-1, 27]], [[1, 3]], [[1, 19]], [[-1, 17]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 27]], [[1, 17]], [[-1, 25]], [[1, 9]], [[-1, 13]], [[-1, 19]], [[1, 11]], [[1, 25]], [[1, 5]], [[-1, 17]], [[1, 13]], [[-1, 3]], [[-1, 5]], [[1, 17]], [[-1, 19]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[-1, 15]], [[-1, 9]], [[-1, 11]], [[1, 1]], [[1, 27]], [[1, 25]], [[-1, 23]], [[1, 15]], [[1, 13]], [[-1, 13]], [[-1, 15]], [[1, 23]], [[-1, 25]]]}
  • id: 7190020
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 78, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o14', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[-1, 7]], [[1, 7]], [[1, 21]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[1, 24]], [[-1, 22]], [[-1, 10]], [[-1, 10]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 26]], [[-1, 18]], [[-1, 6]], [[1, 6]], [[1, 22]], [[1, 6]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 18]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[1, 10]], [[1, 22]], [[-1, 2]], [[1, 2]], [[1, 26]], [[1, 18]], [[1, 22]], [[-1, 22]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[-1, 13]], [[1, 5]], [[-1, 27]], [[-1, 5]], [[1, 1]], [[1, 27]], [[-1, 17]], [[-1, 19]], [[1, 17]], [[-1, 9]], [[1, 1]], [[-1, 25]], [[-1, 9]], [[1, 11]], [[-1, 23]], [[-1, 25]], [[1, 23]], [[-1, 1]], [[-1, 11]], [[1, 3]], [[-1, 19]], [[1, 15]], [[1, 9]], [[-1, 17]], [[-1, 3]], [[-1, 23]], [[1, 11]], [[-1, 15]], [[1, 25]], [[1, 23]], [[-1, 11]], [[1, 9]], [[1, 25]], [[1, 27]], [[1, 19]], [[1, 13]], [[1, 19]], [[1, 17]], [[-1, 27]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[-1, 13]], [[-1, 15]], [[1, 15]], [[1, 13]], [[-1, 5]], [[1, 3]]]}
  • id: 7190021
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 79, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o15', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 12]], [[-1, 21]], [[1, 21]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 20]], [[-1, 4]], [[1, 6]], [[1, 18]], [[1, 18]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 10]], [[1, 6]], [[-1, 26]], [[1, 10]], [[-1, 18]], [[-1, 6]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 26]], [[-1, 18]], [[-1, 22]], [[1, 10]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 2]], [[1, 18]], [[-1, 15]], [[1, 23]], [[-1, 1]], [[-1, 23]], [[1, 27]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 19]], [[1, 27]], [[-1, 3]], [[-1, 19]], [[1, 17]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 27]], [[-1, 17]], [[1, 25]], [[-1, 9]], [[1, 13]], [[1, 19]], [[-1, 11]], [[-1, 25]], [[-1, 5]], [[1, 17]], [[-1, 13]], [[1, 3]], [[1, 5]], [[-1, 17]], [[1, 19]], [[1, 3]], [[1, 1]], [[1, 9]], [[1, 15]], [[1, 9]], [[1, 11]], [[-1, 1]], [[-1, 27]], [[-1, 25]], [[1, 23]], [[-1, 15]], [[-1, 13]], [[1, 13]], [[1, 15]], [[-1, 23]], [[1, 25]]]}
  • id: 7190023
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 80, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o16', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[-1, 21]], [[1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[1, 24]], [[-1, 22]], [[-1, 10]], [[-1, 10]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 26]], [[-1, 18]], [[-1, 6]], [[1, 6]], [[1, 22]], [[1, 6]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 18]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[1, 10]], [[1, 22]], [[-1, 2]], [[1, 2]], [[1, 26]], [[1, 18]], [[1, 22]], [[-1, 22]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[1, 13]], [[-1, 5]], [[1, 27]], [[1, 5]], [[-1, 1]], [[-1, 27]], [[1, 17]], [[1, 19]], [[-1, 17]], [[1, 9]], [[-1, 1]], [[1, 25]], [[1, 9]], [[-1, 11]], [[1, 23]], [[1, 25]], [[-1, 23]], [[1, 1]], [[1, 11]], [[-1, 3]], [[1, 19]], [[-1, 15]], [[-1, 9]], [[1, 17]], [[1, 3]], [[1, 23]], [[-1, 11]], [[1, 15]], [[-1, 25]], [[-1, 23]], [[1, 11]], [[-1, 9]], [[-1, 25]], [[-1, 27]], [[-1, 19]], [[-1, 13]], [[-1, 19]], [[-1, 17]], [[1, 27]], [[1, 1]], [[1, 3]], [[-1, 5]], [[1, 13]], [[1, 15]], [[-1, 15]], [[-1, 13]], [[1, 5]], [[-1, 3]]]}
  • id: 7190024
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 81, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o17', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[-1, 7]], [[1, 7]], [[1, 21]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[1, 16]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 26]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 22]], [[1, 18]], [[1, 26]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[1, 26]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 18]], [[-1, 26]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[1, 25]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 17]], [[1, 11]], [[-1, 9]], [[1, 15]], [[1, 9]], [[1, 13]], [[1, 17]], [[1, 5]], [[1, 13]], [[1, 19]], [[1, 27]], [[1, 5]], [[-1, 27]], [[-1, 17]], [[-1, 19]], [[-1, 23]], [[1, 15]], [[-1, 3]], [[-1, 13]], [[-1, 9]], [[1, 23]], [[1, 27]], [[1, 19]], [[1, 3]], [[-1, 5]], [[-1, 27]], [[-1, 19]], [[-1, 13]], [[-1, 5]], [[1, 11]], [[-1, 15]], [[-1, 25]], [[-1, 15]], [[1, 9]], [[-1, 11]], [[-1, 17]], [[1, 23]], [[-1, 1]], [[1, 25]], [[1, 3]], [[-1, 3]], [[-1, 25]], [[1, 1]], [[-1, 23]]]}
  • id: 7190025
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 82, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o18', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 8]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[1, 16]], [[-1, 4]], [[-1, 12]], [[-1, 18]], [[1, 26]], [[1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 10]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 18]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 18]], [[-1, 22]], [[1, 22]], [[1, 6]], [[-1, 2]], [[1, 18]], [[-1, 18]], [[1, 22]], [[-1, 26]], [[1, 10]], [[1, 2]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 26]], [[-1, 3]], [[1, 27]], [[1, 17]], [[-1, 27]], [[-1, 11]], [[-1, 17]], [[1, 19]], [[-1, 13]], [[-1, 19]], [[-1, 15]], [[-1, 11]], [[-1, 23]], [[-1, 15]], [[-1, 9]], [[-1, 1]], [[-1, 23]], [[1, 1]], [[1, 11]], [[1, 9]], [[1, 5]], [[-1, 13]], [[1, 25]], [[1, 15]], [[1, 19]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 25]], [[1, 23]], [[1, 1]], [[1, 9]], [[1, 15]], [[1, 23]], [[-1, 17]], [[1, 13]], [[1, 3]], [[1, 13]], [[-1, 19]], [[1, 17]], [[1, 11]], [[-1, 5]], [[1, 27]], [[-1, 3]], [[-1, 25]], [[1, 25]], [[1, 3]], [[-1, 27]], [[1, 5]]]}
  • id: 7190026
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 83, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o19', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[-1, 21]], [[1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[1, 16]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 26]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 22]], [[1, 18]], [[1, 26]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[1, 26]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 18]], [[-1, 26]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[-1, 25]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 17]], [[-1, 11]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[-1, 13]], [[-1, 17]], [[-1, 5]], [[-1, 13]], [[-1, 19]], [[-1, 27]], [[-1, 5]], [[1, 27]], [[1, 17]], [[1, 19]], [[1, 23]], [[-1, 15]], [[1, 3]], [[1, 13]], [[1, 9]], [[-1, 23]], [[-1, 27]], [[-1, 19]], [[-1, 3]], [[1, 5]], [[1, 27]], [[1, 19]], [[1, 13]], [[1, 5]], [[-1, 11]], [[1, 15]], [[1, 25]], [[1, 15]], [[-1, 9]], [[1, 11]], [[1, 17]], [[-1, 23]], [[1, 1]], [[-1, 25]], [[-1, 3]], [[1, 3]], [[1, 25]], [[-1, 1]], [[1, 23]]]}
  • id: 7190007
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 66, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o2', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 24]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[1, 8]], [[-1, 26]], [[-1, 22]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 26]], [[1, 2]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 6]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[1, 22]], [[1, 26]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 26]], [[-1, 26]], [[-1, 10]], [[1, 22]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 18]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[1, 23]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 19]], [[-1, 9]], [[-1, 15]], [[1, 25]], [[1, 15]], [[1, 3]], [[-1, 19]], [[1, 27]], [[1, 3]], [[1, 13]], [[-1, 17]], [[1, 27]], [[1, 17]], [[1, 19]], [[-1, 13]], [[-1, 1]], [[1, 25]], [[-1, 5]], [[-1, 3]], [[-1, 15]], [[1, 1]], [[-1, 17]], [[1, 13]], [[1, 5]], [[-1, 27]], [[1, 17]], [[-1, 13]], [[-1, 3]], [[-1, 27]], [[-1, 9]], [[-1, 25]], [[-1, 23]], [[-1, 25]], [[1, 15]], [[1, 9]], [[1, 19]], [[1, 1]], [[1, 11]], [[1, 23]], [[1, 5]], [[-1, 5]], [[-1, 23]], [[-1, 11]], [[-1, 1]]]}
  • id: 7190027
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 84, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o20', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 8]], [[-1, 21]], [[1, 21]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[1, 16]], [[-1, 4]], [[-1, 12]], [[-1, 18]], [[1, 26]], [[1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 10]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 18]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 18]], [[-1, 22]], [[1, 22]], [[1, 6]], [[-1, 2]], [[1, 18]], [[-1, 18]], [[1, 22]], [[-1, 26]], [[1, 10]], [[1, 2]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 26]], [[1, 3]], [[-1, 27]], [[-1, 17]], [[1, 27]], [[1, 11]], [[1, 17]], [[-1, 19]], [[1, 13]], [[1, 19]], [[1, 15]], [[1, 11]], [[1, 23]], [[1, 15]], [[1, 9]], [[1, 1]], [[1, 23]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[-1, 5]], [[1, 13]], [[-1, 25]], [[-1, 15]], [[-1, 19]], [[1, 5]], [[1, 1]], [[1, 9]], [[1, 25]], [[-1, 23]], [[-1, 1]], [[-1, 9]], [[-1, 15]], [[-1, 23]], [[1, 17]], [[-1, 13]], [[-1, 3]], [[-1, 13]], [[1, 19]], [[-1, 17]], [[-1, 11]], [[1, 5]], [[-1, 27]], [[1, 3]], [[1, 25]], [[-1, 25]], [[-1, 3]], [[1, 27]], [[-1, 5]]]}
  • id: 7190028
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 85, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o21', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[1, 16]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 26]], [[-1, 18]], [[1, 18]], [[1, 10]], [[1, 18]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[-1, 26]], [[-1, 10]], [[1, 6]], [[1, 26]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 22]], [[-1, 26]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 18]], [[1, 26]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 22]], [[1, 2]], [[-1, 11]], [[-1, 15]], [[1, 25]], [[1, 15]], [[-1, 3]], [[-1, 25]], [[-1, 23]], [[1, 1]], [[1, 23]], [[1, 27]], [[-1, 3]], [[1, 19]], [[1, 27]], [[1, 5]], [[1, 13]], [[1, 19]], [[-1, 13]], [[1, 3]], [[-1, 5]], [[-1, 9]], [[1, 1]], [[1, 17]], [[-1, 27]], [[-1, 23]], [[1, 9]], [[1, 13]], [[1, 5]], [[-1, 17]], [[-1, 19]], [[-1, 13]], [[-1, 5]], [[-1, 27]], [[-1, 19]], [[-1, 25]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[1, 23]], [[1, 25]], [[1, 3]], [[1, 9]], [[-1, 15]], [[-1, 11]], [[-1, 17]], [[1, 17]], [[1, 11]], [[1, 15]], [[-1, 9]]]}
  • id: 7190029
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 86, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o22', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 8]], [[-1, 7]], [[1, 7]], [[1, 21]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[1, 16]], [[-1, 4]], [[-1, 12]], [[1, 18]], [[-1, 26]], [[-1, 26]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[-1, 10]], [[1, 22]], [[1, 6]], [[1, 10]], [[1, 2]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[1, 26]], [[-1, 18]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[1, 2]], [[-1, 18]], [[1, 18]], [[-1, 22]], [[1, 26]], [[-1, 10]], [[-1, 2]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[1, 17]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[1, 25]], [[1, 3]], [[1, 5]], [[-1, 27]], [[-1, 5]], [[-1, 1]], [[1, 25]], [[-1, 9]], [[-1, 1]], [[-1, 23]], [[-1, 15]], [[-1, 9]], [[1, 15]], [[-1, 25]], [[1, 23]], [[1, 19]], [[-1, 27]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 19]], [[-1, 15]], [[-1, 23]], [[1, 11]], [[1, 9]], [[1, 15]], [[1, 23]], [[1, 1]], [[1, 9]], [[1, 3]], [[1, 27]], [[-1, 17]], [[1, 27]], [[-1, 5]], [[-1, 3]], [[-1, 25]], [[-1, 19]], [[1, 13]], [[1, 17]], [[1, 11]], [[-1, 11]], [[-1, 17]], [[-1, 13]], [[1, 19]]]}
  • id: 7190030
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 87, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o23', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[-1, 21]], [[1, 21]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[1, 16]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 26]], [[-1, 18]], [[1, 18]], [[1, 10]], [[1, 18]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[-1, 26]], [[-1, 10]], [[1, 6]], [[1, 26]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 22]], [[-1, 26]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 18]], [[1, 26]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 22]], [[1, 2]], [[1, 11]], [[1, 15]], [[-1, 25]], [[-1, 15]], [[1, 3]], [[1, 25]], [[1, 23]], [[-1, 1]], [[-1, 23]], [[-1, 27]], [[1, 3]], [[-1, 19]], [[-1, 27]], [[-1, 5]], [[-1, 13]], [[-1, 19]], [[1, 13]], [[-1, 3]], [[1, 5]], [[1, 9]], [[-1, 1]], [[-1, 17]], [[1, 27]], [[1, 23]], [[-1, 9]], [[-1, 13]], [[-1, 5]], [[1, 17]], [[1, 19]], [[1, 13]], [[1, 5]], [[1, 27]], [[1, 19]], [[1, 25]], [[1, 1]], [[-1, 11]], [[1, 1]], [[-1, 23]], [[-1, 25]], [[-1, 3]], [[-1, 9]], [[1, 15]], [[1, 11]], [[1, 17]], [[-1, 17]], [[-1, 11]], [[-1, 15]], [[1, 9]]]}
  • id: 7190031
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 88, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o24', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 8]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[-1, 21]], [[1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[1, 16]], [[-1, 4]], [[-1, 12]], [[1, 18]], [[-1, 26]], [[-1, 26]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[-1, 10]], [[1, 22]], [[1, 6]], [[1, 10]], [[1, 2]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[1, 26]], [[-1, 18]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[1, 2]], [[-1, 18]], [[1, 18]], [[-1, 22]], [[1, 26]], [[-1, 10]], [[-1, 2]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[-1, 17]], [[-1, 13]], [[1, 3]], [[1, 13]], [[-1, 25]], [[-1, 3]], [[-1, 5]], [[1, 27]], [[1, 5]], [[1, 1]], [[-1, 25]], [[1, 9]], [[1, 1]], [[1, 23]], [[1, 15]], [[1, 9]], [[-1, 15]], [[1, 25]], [[-1, 23]], [[-1, 19]], [[1, 27]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 19]], [[1, 15]], [[1, 23]], [[-1, 11]], [[-1, 9]], [[-1, 15]], [[-1, 23]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 27]], [[1, 17]], [[-1, 27]], [[1, 5]], [[1, 3]], [[1, 25]], [[1, 19]], [[-1, 13]], [[-1, 17]], [[-1, 11]], [[1, 11]], [[1, 17]], [[1, 13]], [[-1, 19]]]}
  • id: 7190008
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 67, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o3', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[-1, 21]], [[1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 20]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 10]], [[1, 22]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 22]], [[1, 2]], [[1, 18]], [[1, 22]], [[-1, 6]], [[-1, 2]], [[-1, 18]], [[1, 18]], [[1, 10]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[1, 18]], [[-1, 6]], [[-1, 26]], [[1, 22]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[1, 10]], [[1, 6]], [[1, 5]], [[1, 17]], [[1, 19]], [[-1, 17]], [[-1, 9]], [[-1, 19]], [[-1, 13]], [[1, 3]], [[1, 13]], [[1, 25]], [[-1, 9]], [[1, 1]], [[1, 25]], [[1, 15]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 15]], [[-1, 27]], [[1, 3]], [[-1, 23]], [[-1, 25]], [[-1, 13]], [[1, 27]], [[-1, 11]], [[1, 15]], [[1, 23]], [[-1, 1]], [[1, 11]], [[-1, 15]], [[-1, 25]], [[-1, 1]], [[-1, 19]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 13]], [[1, 19]], [[1, 9]], [[1, 27]], [[1, 17]], [[1, 5]], [[1, 23]], [[-1, 23]], [[-1, 5]], [[-1, 17]], [[-1, 27]]]}
  • id: 7190009
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 68, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o4', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 24]], [[-1, 21]], [[1, 21]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[1, 8]], [[-1, 26]], [[-1, 22]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 26]], [[1, 2]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 6]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[1, 22]], [[1, 26]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 26]], [[-1, 26]], [[-1, 10]], [[1, 22]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 18]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[-1, 23]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 19]], [[1, 9]], [[1, 15]], [[-1, 25]], [[-1, 15]], [[-1, 3]], [[1, 19]], [[-1, 27]], [[-1, 3]], [[-1, 13]], [[1, 17]], [[-1, 27]], [[-1, 17]], [[-1, 19]], [[1, 13]], [[1, 1]], [[-1, 25]], [[1, 5]], [[1, 3]], [[1, 15]], [[-1, 1]], [[1, 17]], [[-1, 13]], [[-1, 5]], [[1, 27]], [[-1, 17]], [[1, 13]], [[1, 3]], [[1, 27]], [[1, 9]], [[1, 25]], [[1, 23]], [[1, 25]], [[-1, 15]], [[-1, 9]], [[-1, 19]], [[-1, 1]], [[-1, 11]], [[-1, 23]], [[-1, 5]], [[1, 5]], [[1, 23]], [[1, 11]], [[1, 1]]]}
  • id: 7190010
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 69, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o5', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 20]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 10]], [[-1, 22]], [[-1, 26]], [[1, 26]], [[1, 2]], [[1, 26]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 22]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[1, 6]], [[1, 2]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[1, 22]], [[1, 2]], [[-1, 2]], [[-1, 18]], [[1, 6]], [[1, 26]], [[-1, 22]], [[1, 18]], [[1, 10]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[-1, 19]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 23]], [[1, 5]], [[1, 27]], [[1, 17]], [[-1, 27]], [[1, 11]], [[1, 23]], [[-1, 15]], [[1, 11]], [[-1, 1]], [[-1, 25]], [[-1, 15]], [[1, 25]], [[-1, 23]], [[1, 1]], [[1, 13]], [[1, 17]], [[1, 9]], [[-1, 11]], [[1, 27]], [[-1, 13]], [[-1, 25]], [[-1, 1]], [[-1, 9]], [[1, 15]], [[1, 25]], [[1, 1]], [[-1, 11]], [[1, 15]], [[1, 5]], [[-1, 17]], [[1, 19]], [[-1, 17]], [[-1, 27]], [[-1, 5]], [[-1, 23]], [[-1, 13]], [[1, 3]], [[-1, 19]], [[-1, 9]], [[1, 9]], [[1, 19]], [[-1, 3]], [[1, 13]]]}
  • id: 7190012
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 70, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o6', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 24]], [[-1, 7]], [[1, 7]], [[1, 21]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[1, 8]], [[1, 26]], [[1, 22]], [[1, 22]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 6]], [[1, 26]], [[1, 10]], [[1, 6]], [[-1, 22]], [[-1, 26]], [[-1, 10]], [[1, 10]], [[1, 18]], [[-1, 6]], [[-1, 26]], [[1, 26]], [[1, 10]], [[-1, 22]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[1, 18]], [[1, 22]], [[1, 9]], [[-1, 25]], [[1, 23]], [[1, 25]], [[-1, 5]], [[-1, 23]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 17]], [[-1, 5]], [[1, 13]], [[-1, 17]], [[1, 27]], [[1, 3]], [[1, 13]], [[-1, 3]], [[1, 5]], [[-1, 27]], [[-1, 15]], [[-1, 11]], [[-1, 19]], [[1, 17]], [[-1, 1]], [[1, 15]], [[1, 3]], [[1, 27]], [[1, 19]], [[-1, 13]], [[-1, 3]], [[-1, 27]], [[1, 17]], [[-1, 13]], [[-1, 23]], [[1, 11]], [[-1, 9]], [[1, 11]], [[1, 1]], [[1, 23]], [[1, 5]], [[1, 15]], [[-1, 25]], [[1, 9]], [[1, 19]], [[-1, 19]], [[-1, 9]], [[1, 25]], [[-1, 15]]]}
  • id: 7190013
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 71, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o7', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[-1, 21]], [[1, 21]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 20]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 10]], [[-1, 22]], [[-1, 26]], [[1, 26]], [[1, 2]], [[1, 26]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 22]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[1, 6]], [[1, 2]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[1, 22]], [[1, 2]], [[-1, 2]], [[-1, 18]], [[1, 6]], [[1, 26]], [[-1, 22]], [[1, 18]], [[1, 10]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[1, 19]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 23]], [[-1, 5]], [[-1, 27]], [[-1, 17]], [[1, 27]], [[-1, 11]], [[-1, 23]], [[1, 15]], [[-1, 11]], [[1, 1]], [[1, 25]], [[1, 15]], [[-1, 25]], [[1, 23]], [[-1, 1]], [[-1, 13]], [[-1, 17]], [[-1, 9]], [[1, 11]], [[-1, 27]], [[1, 13]], [[1, 25]], [[1, 1]], [[1, 9]], [[-1, 15]], [[-1, 25]], [[-1, 1]], [[1, 11]], [[-1, 15]], [[-1, 5]], [[1, 17]], [[-1, 19]], [[1, 17]], [[1, 27]], [[1, 5]], [[1, 23]], [[1, 13]], [[-1, 3]], [[1, 19]], [[1, 9]], [[-1, 9]], [[-1, 19]], [[1, 3]], [[-1, 13]]]}
  • id: 7190014
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 72, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o8', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 24]], [[1, 7]], [[-1, 7]], [[-1, 21]], [[-1, 21]], [[1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[1, 8]], [[1, 26]], [[1, 22]], [[1, 22]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 6]], [[1, 26]], [[1, 10]], [[1, 6]], [[-1, 22]], [[-1, 26]], [[-1, 10]], [[1, 10]], [[1, 18]], [[-1, 6]], [[-1, 26]], [[1, 26]], [[1, 10]], [[-1, 22]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[1, 18]], [[1, 22]], [[-1, 9]], [[1, 25]], [[-1, 23]], [[-1, 25]], [[1, 5]], [[1, 23]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 17]], [[1, 5]], [[-1, 13]], [[1, 17]], [[-1, 27]], [[-1, 3]], [[-1, 13]], [[1, 3]], [[-1, 5]], [[1, 27]], [[1, 15]], [[1, 11]], [[1, 19]], [[-1, 17]], [[1, 1]], [[-1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 19]], [[1, 13]], [[1, 3]], [[1, 27]], [[-1, 17]], [[1, 13]], [[1, 23]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[-1, 1]], [[-1, 23]], [[-1, 5]], [[-1, 15]], [[1, 25]], [[-1, 9]], [[-1, 19]], [[1, 19]], [[1, 9]], [[-1, 25]], [[1, 15]]]}
  • id: 7190015
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 73, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 8, 'label': '448.153.1o9', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 12]], [[-1, 7]], [[1, 7]], [[1, 21]], [[1, 21]], [[-1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 20]], [[-1, 4]], [[-1, 6]], [[-1, 18]], [[-1, 18]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 22]], [[1, 22]], [[1, 6]], [[1, 22]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 10]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[1, 18]], [[1, 6]], [[-1, 26]], [[1, 26]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 26]], [[1, 18]], [[1, 22]], [[-1, 10]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[1, 1]], [[-1, 9]], [[1, 15]], [[1, 9]], [[-1, 13]], [[-1, 15]], [[-1, 25]], [[1, 23]], [[1, 25]], [[1, 5]], [[-1, 13]], [[-1, 17]], [[1, 5]], [[1, 3]], [[1, 19]], [[-1, 17]], [[-1, 19]], [[1, 13]], [[-1, 3]], [[1, 11]], [[1, 23]], [[-1, 27]], [[-1, 5]], [[-1, 25]], [[-1, 11]], [[1, 19]], [[1, 3]], [[1, 27]], [[1, 17]], [[-1, 19]], [[-1, 3]], [[-1, 5]], [[1, 17]], [[-1, 15]], [[-1, 23]], [[-1, 1]], [[-1, 23]], [[1, 25]], [[1, 15]], [[1, 13]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[1, 27]], [[-1, 27]], [[-1, 1]], [[1, 9]], [[1, 11]]]}
  • id: 7190032
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 89, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p1', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 24]], [[1, 16]], [[-1, 4]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 24]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 10]], [[1, 22]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 22]], [[1, 2]], [[1, 18]], [[1, 22]], [[-1, 6]], [[-1, 2]], [[-1, 18]], [[1, 18]], [[1, 10]], [[1, 22]], [[1, 2]], [[-1, 2]], [[-1, 18]], [[1, 6]], [[1, 26]], [[-1, 22]], [[1, 18]], [[1, 10]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[1, 5]], [[-1, 17]], [[1, 19]], [[1, 17]], [[-1, 9]], [[1, 19]], [[1, 13]], [[1, 3]], [[1, 13]], [[-1, 25]], [[1, 9]], [[-1, 1]], [[1, 25]], [[1, 15]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[-1, 9]], [[1, 15]], [[-1, 27]], [[-1, 3]], [[1, 23]], [[1, 25]], [[-1, 13]], [[1, 27]], [[1, 11]], [[-1, 15]], [[-1, 23]], [[-1, 1]], [[1, 11]], [[-1, 15]], [[-1, 25]], [[1, 1]], [[-1, 19]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 13]], [[-1, 19]], [[1, 9]], [[-1, 27]], [[1, 17]], [[-1, 5]], [[1, 23]], [[-1, 23]], [[1, 5]], [[-1, 17]], [[1, 27]]]}
  • id: 7190042
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 98, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p10', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[-1, 12]], [[1, 8]], [[1, 16]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[-1, 16]], [[1, 12]], [[1, 20]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[1, 22]], [[1, 10]], [[1, 10]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 26]], [[1, 18]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[-1, 6]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 18]], [[1, 22]], [[-1, 2]], [[1, 18]], [[-1, 10]], [[-1, 22]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[1, 18]], [[1, 22]], [[-1, 22]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[1, 27]], [[1, 19]], [[1, 13]], [[-1, 19]], [[-1, 15]], [[1, 13]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 23]], [[1, 15]], [[1, 11]], [[1, 23]], [[1, 25]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 15]], [[1, 25]], [[1, 17]], [[-1, 5]], [[1, 1]], [[1, 23]], [[-1, 3]], [[-1, 17]], [[-1, 9]], [[-1, 25]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[-1, 25]], [[-1, 23]], [[-1, 11]], [[-1, 13]], [[1, 5]], [[-1, 27]], [[-1, 5]], [[-1, 3]], [[-1, 13]], [[1, 15]], [[1, 17]], [[-1, 19]], [[-1, 27]], [[1, 1]], [[-1, 1]], [[1, 27]], [[1, 19]], [[-1, 17]]]}
  • id: 7190043
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 99, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p11', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[1, 24]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[1, 12]], [[-1, 16]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[1, 4]], [[-1, 6]], [[-1, 18]], [[-1, 18]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 22]], [[1, 22]], [[1, 6]], [[1, 22]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 10]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[1, 18]], [[1, 6]], [[-1, 26]], [[1, 26]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 26]], [[-1, 18]], [[-1, 22]], [[1, 10]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 2]], [[1, 18]], [[1, 1]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 13]], [[1, 15]], [[1, 25]], [[1, 23]], [[1, 25]], [[-1, 5]], [[1, 13]], [[1, 17]], [[1, 5]], [[1, 3]], [[1, 19]], [[-1, 17]], [[1, 19]], [[-1, 13]], [[1, 3]], [[1, 11]], [[-1, 23]], [[1, 27]], [[1, 5]], [[-1, 25]], [[-1, 11]], [[-1, 19]], [[-1, 3]], [[-1, 27]], [[1, 17]], [[-1, 19]], [[-1, 3]], [[-1, 5]], [[-1, 17]], [[-1, 15]], [[1, 23]], [[-1, 1]], [[-1, 23]], [[-1, 25]], [[-1, 15]], [[1, 13]], [[1, 11]], [[-1, 9]], [[-1, 1]], [[1, 27]], [[-1, 27]], [[1, 1]], [[1, 9]], [[-1, 11]]]}
  • id: 7189892
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 100, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p12', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[-1, 16]], [[1, 12]], [[1, 20]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[1, 22]], [[1, 10]], [[1, 10]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 26]], [[1, 18]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[-1, 6]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 18]], [[1, 22]], [[-1, 2]], [[1, 18]], [[-1, 10]], [[-1, 22]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[1, 18]], [[1, 22]], [[-1, 22]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[-1, 27]], [[-1, 19]], [[-1, 13]], [[1, 19]], [[1, 15]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 23]], [[-1, 15]], [[-1, 11]], [[-1, 23]], [[-1, 25]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 15]], [[-1, 25]], [[-1, 17]], [[1, 5]], [[-1, 1]], [[-1, 23]], [[1, 3]], [[1, 17]], [[1, 9]], [[1, 25]], [[1, 1]], [[-1, 11]], [[1, 9]], [[1, 25]], [[1, 23]], [[1, 11]], [[1, 13]], [[-1, 5]], [[1, 27]], [[1, 5]], [[1, 3]], [[1, 13]], [[-1, 15]], [[-1, 17]], [[1, 19]], [[1, 27]], [[-1, 1]], [[1, 1]], [[-1, 27]], [[-1, 19]], [[1, 17]]]}
  • id: 7189893
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 101, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p13', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[1, 24]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[1, 12]], [[-1, 16]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 6]], [[1, 18]], [[1, 18]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 10]], [[1, 6]], [[-1, 26]], [[1, 10]], [[-1, 18]], [[-1, 6]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 26]], [[1, 18]], [[1, 22]], [[-1, 10]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[-1, 15]], [[-1, 23]], [[-1, 1]], [[1, 23]], [[1, 27]], [[-1, 1]], [[1, 11]], [[-1, 9]], [[1, 11]], [[1, 19]], [[-1, 27]], [[1, 3]], [[-1, 19]], [[1, 17]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 27]], [[1, 17]], [[1, 25]], [[1, 9]], [[-1, 13]], [[-1, 19]], [[-1, 11]], [[-1, 25]], [[1, 5]], [[-1, 17]], [[1, 13]], [[1, 3]], [[1, 5]], [[-1, 17]], [[1, 19]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[1, 15]], [[1, 9]], [[-1, 11]], [[1, 1]], [[-1, 27]], [[1, 25]], [[1, 23]], [[1, 15]], [[-1, 13]], [[1, 13]], [[-1, 15]], [[-1, 23]], [[-1, 25]]]}
  • id: 7189894
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 102, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p14', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[-1, 12]], [[1, 8]], [[1, 16]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[-1, 16]], [[1, 12]], [[1, 20]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 22]], [[-1, 10]], [[-1, 10]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 26]], [[-1, 18]], [[-1, 6]], [[1, 6]], [[1, 22]], [[1, 6]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 18]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[1, 10]], [[1, 22]], [[-1, 2]], [[1, 2]], [[1, 26]], [[-1, 18]], [[-1, 22]], [[1, 22]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 18]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 26]], [[1, 10]], [[1, 13]], [[1, 5]], [[1, 27]], [[-1, 5]], [[-1, 1]], [[1, 27]], [[-1, 17]], [[1, 19]], [[-1, 17]], [[-1, 9]], [[1, 1]], [[-1, 25]], [[1, 9]], [[-1, 11]], [[1, 23]], [[1, 25]], [[1, 23]], [[-1, 1]], [[-1, 11]], [[-1, 3]], [[-1, 19]], [[1, 15]], [[1, 9]], [[1, 17]], [[1, 3]], [[-1, 23]], [[1, 11]], [[-1, 15]], [[-1, 25]], [[-1, 23]], [[1, 11]], [[-1, 9]], [[1, 25]], [[-1, 27]], [[1, 19]], [[-1, 13]], [[-1, 19]], [[1, 17]], [[-1, 27]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 13]], [[1, 15]], [[-1, 15]], [[1, 13]], [[1, 5]], [[1, 3]]]}
  • id: 7189895
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 103, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p15', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[1, 24]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[1, 12]], [[-1, 16]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 6]], [[1, 18]], [[1, 18]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 10]], [[1, 6]], [[-1, 26]], [[1, 10]], [[-1, 18]], [[-1, 6]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 26]], [[1, 18]], [[1, 22]], [[-1, 10]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[1, 15]], [[1, 23]], [[1, 1]], [[-1, 23]], [[-1, 27]], [[1, 1]], [[-1, 11]], [[1, 9]], [[-1, 11]], [[-1, 19]], [[1, 27]], [[-1, 3]], [[1, 19]], [[-1, 17]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 27]], [[-1, 17]], [[-1, 25]], [[-1, 9]], [[1, 13]], [[1, 19]], [[1, 11]], [[1, 25]], [[-1, 5]], [[1, 17]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[1, 17]], [[-1, 19]], [[1, 3]], [[-1, 1]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[1, 27]], [[-1, 25]], [[-1, 23]], [[-1, 15]], [[1, 13]], [[-1, 13]], [[1, 15]], [[1, 23]], [[1, 25]]]}
  • id: 7189896
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 104, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p16', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[1, 24]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 24]], [[1, 8]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[-1, 12]], [[1, 8]], [[1, 16]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 4]], [[1, 20]], [[-1, 16]], [[1, 12]], [[1, 20]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 22]], [[-1, 10]], [[-1, 10]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 26]], [[-1, 18]], [[-1, 6]], [[1, 6]], [[1, 22]], [[1, 6]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 18]], [[-1, 22]], [[1, 2]], [[-1, 18]], [[1, 10]], [[1, 22]], [[-1, 2]], [[1, 2]], [[1, 26]], [[-1, 18]], [[-1, 22]], [[1, 22]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 18]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 26]], [[1, 10]], [[-1, 13]], [[-1, 5]], [[-1, 27]], [[1, 5]], [[1, 1]], [[-1, 27]], [[1, 17]], [[-1, 19]], [[1, 17]], [[1, 9]], [[-1, 1]], [[1, 25]], [[-1, 9]], [[1, 11]], [[-1, 23]], [[-1, 25]], [[-1, 23]], [[1, 1]], [[1, 11]], [[1, 3]], [[1, 19]], [[-1, 15]], [[-1, 9]], [[-1, 17]], [[-1, 3]], [[1, 23]], [[-1, 11]], [[1, 15]], [[1, 25]], [[1, 23]], [[-1, 11]], [[1, 9]], [[-1, 25]], [[1, 27]], [[-1, 19]], [[1, 13]], [[1, 19]], [[-1, 17]], [[1, 27]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 13]], [[-1, 15]], [[1, 15]], [[-1, 13]], [[-1, 5]], [[-1, 3]]]}
  • id: 7189897
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 105, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p17', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 24]], [[-1, 20]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[1, 20]], [[-1, 8]], [[1, 4]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 26]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 22]], [[1, 18]], [[1, 26]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[-1, 26]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 18]], [[1, 26]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 22]], [[1, 2]], [[-1, 25]], [[-1, 1]], [[1, 11]], [[1, 1]], [[-1, 17]], [[1, 11]], [[-1, 9]], [[-1, 15]], [[-1, 9]], [[1, 13]], [[1, 17]], [[1, 5]], [[-1, 13]], [[-1, 19]], [[-1, 27]], [[-1, 5]], [[-1, 27]], [[-1, 17]], [[-1, 19]], [[1, 23]], [[1, 15]], [[-1, 3]], [[-1, 13]], [[1, 9]], [[-1, 23]], [[1, 27]], [[1, 19]], [[1, 3]], [[1, 5]], [[1, 27]], [[1, 19]], [[1, 13]], [[-1, 5]], [[-1, 11]], [[-1, 15]], [[1, 25]], [[1, 15]], [[1, 9]], [[-1, 11]], [[1, 17]], [[1, 23]], [[1, 1]], [[1, 25]], [[-1, 3]], [[1, 3]], [[-1, 25]], [[-1, 1]], [[-1, 23]]]}
  • id: 7189898
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 106, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p18', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[-1, 8]], [[1, 20]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 18]], [[1, 26]], [[1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 10]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 18]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 18]], [[-1, 22]], [[1, 22]], [[1, 6]], [[1, 2]], [[-1, 18]], [[1, 18]], [[-1, 22]], [[1, 26]], [[-1, 10]], [[-1, 2]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[1, 3]], [[1, 27]], [[-1, 17]], [[-1, 27]], [[1, 11]], [[-1, 17]], [[1, 19]], [[1, 13]], [[1, 19]], [[-1, 15]], [[-1, 11]], [[-1, 23]], [[1, 15]], [[1, 9]], [[1, 1]], [[1, 23]], [[1, 1]], [[1, 11]], [[1, 9]], [[-1, 5]], [[-1, 13]], [[1, 25]], [[1, 15]], [[-1, 19]], [[1, 5]], [[-1, 1]], [[-1, 9]], [[-1, 25]], [[-1, 23]], [[-1, 1]], [[-1, 9]], [[-1, 15]], [[1, 23]], [[1, 17]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[-1, 19]], [[1, 17]], [[-1, 11]], [[-1, 5]], [[-1, 27]], [[-1, 3]], [[1, 25]], [[-1, 25]], [[1, 3]], [[1, 27]], [[1, 5]]]}
  • id: 7189899
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 107, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p19', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 24]], [[-1, 20]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[1, 20]], [[-1, 8]], [[1, 4]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 26]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 22]], [[1, 18]], [[1, 26]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[1, 2]], [[-1, 10]], [[1, 6]], [[-1, 6]], [[-1, 22]], [[-1, 26]], [[1, 10]], [[-1, 10]], [[1, 6]], [[-1, 2]], [[1, 18]], [[1, 26]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 22]], [[1, 2]], [[1, 25]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 17]], [[-1, 11]], [[1, 9]], [[1, 15]], [[1, 9]], [[-1, 13]], [[-1, 17]], [[-1, 5]], [[1, 13]], [[1, 19]], [[1, 27]], [[1, 5]], [[1, 27]], [[1, 17]], [[1, 19]], [[-1, 23]], [[-1, 15]], [[1, 3]], [[1, 13]], [[-1, 9]], [[1, 23]], [[-1, 27]], [[-1, 19]], [[-1, 3]], [[-1, 5]], [[-1, 27]], [[-1, 19]], [[-1, 13]], [[1, 5]], [[1, 11]], [[1, 15]], [[-1, 25]], [[-1, 15]], [[-1, 9]], [[1, 11]], [[-1, 17]], [[-1, 23]], [[-1, 1]], [[-1, 25]], [[1, 3]], [[-1, 3]], [[1, 25]], [[1, 1]], [[1, 23]]]}
  • id: 7190034
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 90, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p2', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[-1, 24]], [[1, 4]], [[-1, 16]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 26]], [[-1, 22]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 26]], [[1, 2]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 6]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[1, 22]], [[1, 26]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[-1, 6]], [[-1, 26]], [[1, 26]], [[1, 10]], [[-1, 22]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[1, 18]], [[1, 22]], [[-1, 23]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[1, 19]], [[-1, 9]], [[-1, 15]], [[-1, 25]], [[-1, 15]], [[1, 3]], [[-1, 19]], [[1, 27]], [[-1, 3]], [[-1, 13]], [[1, 17]], [[-1, 27]], [[1, 17]], [[1, 19]], [[-1, 13]], [[1, 1]], [[1, 25]], [[-1, 5]], [[-1, 3]], [[1, 15]], [[-1, 1]], [[-1, 17]], [[1, 13]], [[1, 5]], [[1, 27]], [[-1, 17]], [[1, 13]], [[1, 3]], [[-1, 27]], [[1, 9]], [[-1, 25]], [[1, 23]], [[1, 25]], [[1, 15]], [[1, 9]], [[-1, 19]], [[1, 1]], [[-1, 11]], [[1, 23]], [[-1, 5]], [[1, 5]], [[-1, 23]], [[1, 11]], [[-1, 1]]]}
  • id: 7189900
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 108, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p20', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[-1, 8]], [[1, 20]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 18]], [[1, 26]], [[1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 10]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 18]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 18]], [[-1, 22]], [[1, 22]], [[1, 6]], [[1, 2]], [[-1, 18]], [[1, 18]], [[-1, 22]], [[1, 26]], [[-1, 10]], [[-1, 2]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 6]], [[-1, 26]], [[-1, 3]], [[-1, 27]], [[1, 17]], [[1, 27]], [[-1, 11]], [[1, 17]], [[-1, 19]], [[-1, 13]], [[-1, 19]], [[1, 15]], [[1, 11]], [[1, 23]], [[-1, 15]], [[-1, 9]], [[-1, 1]], [[-1, 23]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 5]], [[1, 13]], [[-1, 25]], [[-1, 15]], [[1, 19]], [[-1, 5]], [[1, 1]], [[1, 9]], [[1, 25]], [[1, 23]], [[1, 1]], [[1, 9]], [[1, 15]], [[-1, 23]], [[-1, 17]], [[-1, 13]], [[1, 3]], [[1, 13]], [[1, 19]], [[-1, 17]], [[1, 11]], [[1, 5]], [[1, 27]], [[1, 3]], [[-1, 25]], [[1, 25]], [[-1, 3]], [[-1, 27]], [[-1, 5]]]}
  • id: 7189901
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 109, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p21', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 24]], [[-1, 20]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[1, 20]], [[-1, 8]], [[1, 4]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 26]], [[-1, 18]], [[1, 18]], [[1, 10]], [[1, 18]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[-1, 26]], [[-1, 10]], [[1, 6]], [[1, 26]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 22]], [[1, 26]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 18]], [[-1, 26]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[1, 11]], [[-1, 15]], [[-1, 25]], [[1, 15]], [[1, 3]], [[-1, 25]], [[-1, 23]], [[-1, 1]], [[-1, 23]], [[1, 27]], [[-1, 3]], [[1, 19]], [[-1, 27]], [[-1, 5]], [[-1, 13]], [[-1, 19]], [[-1, 13]], [[1, 3]], [[-1, 5]], [[1, 9]], [[1, 1]], [[1, 17]], [[-1, 27]], [[1, 23]], [[-1, 9]], [[1, 13]], [[1, 5]], [[-1, 17]], [[1, 19]], [[1, 13]], [[1, 5]], [[1, 27]], [[-1, 19]], [[1, 25]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 23]], [[1, 25]], [[-1, 3]], [[1, 9]], [[1, 15]], [[-1, 11]], [[1, 17]], [[-1, 17]], [[1, 11]], [[-1, 15]], [[-1, 9]]]}
  • id: 7189903
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 110, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p22', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[-1, 8]], [[1, 20]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[1, 12]], [[1, 18]], [[-1, 26]], [[-1, 26]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[-1, 10]], [[1, 22]], [[1, 6]], [[1, 10]], [[1, 2]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[1, 26]], [[-1, 18]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[-1, 2]], [[1, 18]], [[-1, 18]], [[1, 22]], [[-1, 26]], [[1, 10]], [[1, 2]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 26]], [[-1, 17]], [[1, 13]], [[1, 3]], [[-1, 13]], [[-1, 25]], [[1, 3]], [[1, 5]], [[1, 27]], [[1, 5]], [[-1, 1]], [[1, 25]], [[-1, 9]], [[1, 1]], [[1, 23]], [[1, 15]], [[1, 9]], [[1, 15]], [[-1, 25]], [[1, 23]], [[-1, 19]], [[-1, 27]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[1, 19]], [[-1, 15]], [[-1, 23]], [[1, 11]], [[-1, 9]], [[-1, 15]], [[-1, 23]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[1, 27]], [[1, 17]], [[-1, 27]], [[-1, 5]], [[-1, 3]], [[1, 25]], [[-1, 19]], [[-1, 13]], [[1, 17]], [[-1, 11]], [[1, 11]], [[-1, 17]], [[1, 13]], [[1, 19]]]}
  • id: 7189904
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 111, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p23', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 12]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[-1, 4]], [[1, 8]], [[1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 8]], [[1, 24]], [[-1, 20]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[1, 4]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[1, 12]], [[1, 4]], [[1, 20]], [[-1, 8]], [[1, 4]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 26]], [[-1, 18]], [[1, 18]], [[1, 10]], [[1, 18]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[-1, 26]], [[-1, 10]], [[1, 6]], [[1, 26]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 6]], [[1, 22]], [[1, 26]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[1, 2]], [[-1, 18]], [[-1, 26]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[-1, 11]], [[1, 15]], [[1, 25]], [[-1, 15]], [[-1, 3]], [[1, 25]], [[1, 23]], [[1, 1]], [[1, 23]], [[-1, 27]], [[1, 3]], [[-1, 19]], [[1, 27]], [[1, 5]], [[1, 13]], [[1, 19]], [[1, 13]], [[-1, 3]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 17]], [[1, 27]], [[-1, 23]], [[1, 9]], [[-1, 13]], [[-1, 5]], [[1, 17]], [[-1, 19]], [[-1, 13]], [[-1, 5]], [[-1, 27]], [[1, 19]], [[-1, 25]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 23]], [[-1, 25]], [[1, 3]], [[-1, 9]], [[-1, 15]], [[1, 11]], [[-1, 17]], [[1, 17]], [[-1, 11]], [[1, 15]], [[1, 9]]]}
  • id: 7189905
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 112, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p24', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[1, 16]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 16]], [[1, 8]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[-1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 20]], [[-1, 4]], [[1, 8]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[-1, 24]], [[1, 20]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[-1, 8]], [[1, 20]], [[-1, 16]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 20]], [[-1, 8]], [[-1, 16]], [[-1, 24]], [[-1, 8]], [[1, 20]], [[-1, 24]], [[-1, 16]], [[1, 4]], [[1, 12]], [[1, 18]], [[-1, 26]], [[-1, 26]], [[1, 2]], [[1, 26]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[-1, 10]], [[1, 22]], [[1, 6]], [[1, 10]], [[1, 2]], [[1, 18]], [[-1, 22]], [[-1, 2]], [[1, 26]], [[-1, 18]], [[1, 22]], [[-1, 22]], [[-1, 6]], [[-1, 2]], [[1, 18]], [[-1, 18]], [[1, 22]], [[-1, 26]], [[1, 10]], [[1, 2]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 26]], [[1, 17]], [[-1, 13]], [[-1, 3]], [[1, 13]], [[1, 25]], [[-1, 3]], [[-1, 5]], [[-1, 27]], [[-1, 5]], [[1, 1]], [[-1, 25]], [[1, 9]], [[-1, 1]], [[-1, 23]], [[-1, 15]], [[-1, 9]], [[-1, 15]], [[1, 25]], [[-1, 23]], [[1, 19]], [[1, 27]], [[1, 11]], [[-1, 1]], [[1, 5]], [[-1, 19]], [[1, 15]], [[1, 23]], [[-1, 11]], [[1, 9]], [[1, 15]], [[1, 23]], [[1, 1]], [[-1, 9]], [[1, 3]], [[-1, 27]], [[-1, 17]], [[1, 27]], [[1, 5]], [[1, 3]], [[-1, 25]], [[1, 19]], [[1, 13]], [[-1, 17]], [[1, 11]], [[-1, 11]], [[1, 17]], [[-1, 13]], [[-1, 19]]]}
  • id: 7190035
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 91, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p3', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 24]], [[1, 16]], [[-1, 4]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 24]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 10]], [[1, 22]], [[1, 26]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[-1, 22]], [[1, 2]], [[1, 18]], [[1, 22]], [[-1, 6]], [[-1, 2]], [[-1, 18]], [[1, 18]], [[1, 10]], [[1, 22]], [[1, 2]], [[-1, 2]], [[-1, 18]], [[1, 6]], [[1, 26]], [[-1, 22]], [[1, 18]], [[1, 10]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[-1, 5]], [[1, 17]], [[-1, 19]], [[-1, 17]], [[1, 9]], [[-1, 19]], [[-1, 13]], [[-1, 3]], [[-1, 13]], [[1, 25]], [[-1, 9]], [[1, 1]], [[-1, 25]], [[-1, 15]], [[1, 11]], [[-1, 1]], [[1, 11]], [[1, 9]], [[-1, 15]], [[1, 27]], [[1, 3]], [[-1, 23]], [[-1, 25]], [[1, 13]], [[-1, 27]], [[-1, 11]], [[1, 15]], [[1, 23]], [[1, 1]], [[-1, 11]], [[1, 15]], [[1, 25]], [[-1, 1]], [[1, 19]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 13]], [[1, 19]], [[-1, 9]], [[1, 27]], [[-1, 17]], [[1, 5]], [[-1, 23]], [[1, 23]], [[-1, 5]], [[1, 17]], [[-1, 27]]]}
  • id: 7190036
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 92, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p4', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[-1, 24]], [[1, 4]], [[-1, 16]], [[1, 20]], [[1, 12]], [[-1, 8]], [[-1, 26]], [[-1, 22]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 26]], [[1, 2]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 6]], [[-1, 26]], [[-1, 10]], [[-1, 6]], [[1, 22]], [[1, 26]], [[1, 10]], [[-1, 10]], [[-1, 18]], [[-1, 6]], [[-1, 26]], [[1, 26]], [[1, 10]], [[-1, 22]], [[-1, 2]], [[1, 6]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[1, 18]], [[1, 22]], [[1, 23]], [[-1, 11]], [[1, 9]], [[1, 11]], [[-1, 19]], [[1, 9]], [[1, 15]], [[1, 25]], [[1, 15]], [[-1, 3]], [[1, 19]], [[-1, 27]], [[1, 3]], [[1, 13]], [[-1, 17]], [[1, 27]], [[-1, 17]], [[-1, 19]], [[1, 13]], [[-1, 1]], [[-1, 25]], [[1, 5]], [[1, 3]], [[-1, 15]], [[1, 1]], [[1, 17]], [[-1, 13]], [[-1, 5]], [[-1, 27]], [[1, 17]], [[-1, 13]], [[-1, 3]], [[1, 27]], [[-1, 9]], [[1, 25]], [[-1, 23]], [[-1, 25]], [[-1, 15]], [[-1, 9]], [[1, 19]], [[-1, 1]], [[1, 11]], [[-1, 23]], [[1, 5]], [[-1, 5]], [[1, 23]], [[-1, 11]], [[1, 1]]]}
  • id: 7190037
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 93, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p5', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 24]], [[1, 16]], [[-1, 4]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 24]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 10]], [[-1, 22]], [[-1, 26]], [[1, 26]], [[1, 2]], [[1, 26]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 22]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[1, 6]], [[1, 2]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[1, 18]], [[-1, 6]], [[-1, 26]], [[1, 22]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[1, 10]], [[1, 6]], [[1, 19]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 23]], [[1, 5]], [[1, 27]], [[-1, 17]], [[1, 27]], [[1, 11]], [[1, 23]], [[-1, 15]], [[-1, 11]], [[1, 1]], [[1, 25]], [[1, 15]], [[1, 25]], [[-1, 23]], [[1, 1]], [[-1, 13]], [[1, 17]], [[1, 9]], [[-1, 11]], [[-1, 27]], [[1, 13]], [[-1, 25]], [[-1, 1]], [[-1, 9]], [[-1, 15]], [[-1, 25]], [[-1, 1]], [[1, 11]], [[1, 15]], [[-1, 5]], [[-1, 17]], [[-1, 19]], [[1, 17]], [[-1, 27]], [[-1, 5]], [[1, 23]], [[-1, 13]], [[-1, 3]], [[-1, 19]], [[1, 9]], [[-1, 9]], [[1, 19]], [[1, 3]], [[1, 13]]]}
  • id: 7190038
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 94, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p6', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[-1, 24]], [[1, 4]], [[-1, 16]], [[1, 20]], [[1, 12]], [[-1, 8]], [[1, 26]], [[1, 22]], [[1, 22]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 6]], [[1, 26]], [[1, 10]], [[1, 6]], [[-1, 22]], [[-1, 26]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 6]], [[1, 26]], [[-1, 26]], [[-1, 10]], [[1, 22]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 18]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[-1, 9]], [[-1, 25]], [[-1, 23]], [[1, 25]], [[1, 5]], [[-1, 23]], [[-1, 1]], [[1, 11]], [[-1, 1]], [[-1, 17]], [[-1, 5]], [[1, 13]], [[1, 17]], [[-1, 27]], [[-1, 3]], [[-1, 13]], [[-1, 3]], [[1, 5]], [[-1, 27]], [[1, 15]], [[-1, 11]], [[-1, 19]], [[1, 17]], [[1, 1]], [[-1, 15]], [[1, 3]], [[1, 27]], [[1, 19]], [[1, 13]], [[1, 3]], [[1, 27]], [[-1, 17]], [[-1, 13]], [[1, 23]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 1]], [[1, 23]], [[-1, 5]], [[1, 15]], [[1, 25]], [[1, 9]], [[-1, 19]], [[1, 19]], [[-1, 9]], [[-1, 25]], [[-1, 15]]]}
  • id: 7190039
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 95, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p7', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 24]], [[1, 16]], [[1, 8]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 12]], [[1, 24]], [[-1, 20]], [[1, 8]], [[-1, 12]], [[-1, 4]], [[1, 24]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 24]], [[1, 16]], [[-1, 4]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 7]], [[1, 12]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[-1, 8]], [[1, 12]], [[1, 4]], [[-1, 24]], [[1, 12]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 22]], [[1, 6]], [[1, 10]], [[-1, 10]], [[-1, 22]], [[-1, 26]], [[1, 26]], [[1, 2]], [[1, 26]], [[1, 18]], [[1, 10]], [[-1, 26]], [[1, 22]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[1, 6]], [[1, 2]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[1, 18]], [[-1, 6]], [[-1, 26]], [[1, 22]], [[-1, 18]], [[-1, 10]], [[1, 26]], [[1, 10]], [[1, 6]], [[-1, 19]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 23]], [[-1, 5]], [[-1, 27]], [[1, 17]], [[-1, 27]], [[-1, 11]], [[-1, 23]], [[1, 15]], [[1, 11]], [[-1, 1]], [[-1, 25]], [[-1, 15]], [[-1, 25]], [[1, 23]], [[-1, 1]], [[1, 13]], [[-1, 17]], [[-1, 9]], [[1, 11]], [[1, 27]], [[-1, 13]], [[1, 25]], [[1, 1]], [[1, 9]], [[1, 15]], [[1, 25]], [[1, 1]], [[-1, 11]], [[-1, 15]], [[1, 5]], [[1, 17]], [[1, 19]], [[-1, 17]], [[1, 27]], [[1, 5]], [[-1, 23]], [[1, 13]], [[1, 3]], [[1, 19]], [[-1, 9]], [[1, 9]], [[-1, 19]], [[-1, 3]], [[-1, 13]]]}
  • id: 7190040
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 96, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p8', 'nt': [56, 24], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 20]], [[1, 24]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[1, 8]], [[-1, 20]], [[1, 16]], [[1, 24]], [[-1, 4]], [[1, 8]], [[-1, 12]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 4]], [[-1, 12]], [[1, 24]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 21]], [[1, 21]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[-1, 16]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 20]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 12]], [[-1, 8]], [[1, 4]], [[-1, 24]], [[1, 20]], [[-1, 16]], [[-1, 24]], [[1, 4]], [[-1, 16]], [[1, 20]], [[1, 12]], [[-1, 8]], [[1, 26]], [[1, 22]], [[1, 22]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[1, 2]], [[-1, 6]], [[1, 26]], [[1, 10]], [[1, 6]], [[-1, 22]], [[-1, 26]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 6]], [[1, 26]], [[-1, 26]], [[-1, 10]], [[1, 22]], [[1, 2]], [[-1, 6]], [[1, 10]], [[1, 18]], [[-1, 2]], [[-1, 18]], [[-1, 22]], [[1, 9]], [[1, 25]], [[1, 23]], [[-1, 25]], [[-1, 5]], [[1, 23]], [[1, 1]], [[-1, 11]], [[1, 1]], [[1, 17]], [[1, 5]], [[-1, 13]], [[-1, 17]], [[1, 27]], [[1, 3]], [[1, 13]], [[1, 3]], [[-1, 5]], [[1, 27]], [[-1, 15]], [[1, 11]], [[1, 19]], [[-1, 17]], [[-1, 1]], [[1, 15]], [[-1, 3]], [[-1, 27]], [[-1, 19]], [[-1, 13]], [[-1, 3]], [[-1, 27]], [[1, 17]], [[1, 13]], [[-1, 23]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 1]], [[-1, 23]], [[1, 5]], [[-1, 15]], [[-1, 25]], [[-1, 9]], [[1, 19]], [[-1, 19]], [[1, 9]], [[1, 25]], [[1, 15]]]}
  • id: 7190041
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 448, 'counter': 97, 'cyclotomic_n': 56, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.2', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 8, 'label': '448.153.1p9', 'nt': [56, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[1, 16]], [[-1, 20]], [[1, 24]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 24]], [[-1, 12]], [[-1, 20]], [[1, 8]], [[1, 16]], [[-1, 4]], [[1, 24]], [[1, 8]], [[-1, 12]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[-1, 4]], [[1, 24]], [[1, 16]], [[-1, 20]], [[-1, 12]], [[-1, 7]], [[1, 7]], [[-1, 21]], [[1, 21]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[1, 21]], [[-1, 8]], [[-1, 16]], [[1, 20]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 8]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[-1, 24]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 16]], [[1, 12]], [[-1, 24]], [[-1, 8]], [[1, 12]], [[-1, 16]], [[-1, 8]], [[-1, 24]], [[1, 20]], [[1, 4]], [[-1, 6]], [[-1, 18]], [[-1, 18]], [[1, 10]], [[1, 18]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 22]], [[1, 22]], [[1, 6]], [[1, 22]], [[-1, 26]], [[-1, 2]], [[-1, 22]], [[1, 10]], [[-1, 6]], [[1, 26]], [[-1, 10]], [[1, 18]], [[1, 6]], [[-1, 26]], [[1, 26]], [[1, 2]], [[-1, 10]], [[-1, 6]], [[1, 6]], [[-1, 26]], [[-1, 18]], [[-1, 22]], [[1, 10]], [[1, 26]], [[1, 2]], [[1, 22]], [[-1, 2]], [[1, 18]], [[-1, 1]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 13]], [[-1, 15]], [[-1, 25]], [[-1, 23]], [[-1, 25]], [[1, 5]], [[-1, 13]], [[-1, 17]], [[-1, 5]], [[-1, 3]], [[-1, 19]], [[1, 17]], [[-1, 19]], [[1, 13]], [[-1, 3]], [[-1, 11]], [[1, 23]], [[-1, 27]], [[-1, 5]], [[1, 25]], [[1, 11]], [[1, 19]], [[1, 3]], [[1, 27]], [[-1, 17]], [[1, 19]], [[1, 3]], [[1, 5]], [[1, 17]], [[1, 15]], [[-1, 23]], [[1, 1]], [[1, 23]], [[1, 25]], [[1, 15]], [[-1, 13]], [[-1, 11]], [[1, 9]], [[1, 1]], [[-1, 27]], [[1, 27]], [[-1, 1]], [[-1, 9]], [[1, 11]]]}
  • id: 7189906
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 113, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.d1.b1', 'kernel_order': 56, 'label': '448.153.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 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]], [[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]], [[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]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189907
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 114, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.d1.a1', 'kernel_order': 56, 'label': '448.153.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 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]], [[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]], [[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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189908
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 115, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 28, 'label': '448.153.2c1', 'nt': [8, 7], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[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]], [[0, 0]], [[0, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189909
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 116, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 28, 'label': '448.153.2c2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[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]], [[0, 0]], [[0, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189910
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 117, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 8, 'label': '448.153.2d1', 'nt': [28, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, -3]], [[2, -2]], [[2, -1]], [[2, 3]], [[2, 2]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -3]], [[2, 2]], [[2, -2]], [[2, 3]], [[2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -3]], [[-2, 3]], [[-2, -1]], [[-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]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, -1]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, -3]], [[2, 3]], [[2, 1]], [[2, 2]], [[-2, 2]], [[-2, -1]], [[-2, 3]], [[-2, -3]], [[-2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, -1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, 3]], [[2, 3]], [[-2, 1]], [[2, -2]], [[-2, -2]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 3]], [[-2, -2]], [[-2, 1]], [[2, 2]], [[2, -3]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -3]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189911
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 118, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 8, 'label': '448.153.2d2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 3]], [[2, 2]], [[2, 1]], [[2, -3]], [[2, -2]], [[2, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 3]], [[2, -2]], [[2, 2]], [[2, -3]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 3]], [[-2, -3]], [[-2, 1]], [[-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]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[-2, -2]], [[-2, 1]], [[-2, -3]], [[-2, 3]], [[-2, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[2, 1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, -3]], [[2, -3]], [[-2, -1]], [[2, 2]], [[-2, 2]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, -3]], [[-2, 2]], [[-2, -1]], [[2, -2]], [[2, 3]], [[2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 3]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189912
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 119, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 8, 'label': '448.153.2d3', 'nt': [28, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, -3]], [[2, 2]], [[2, -1]], [[2, 3]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -3]], [[-2, 3]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -3]], [[-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]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -3]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, 3]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, -1]], [[-2, -1]], [[-2, -3]], [[-2, 2]], [[-2, -2]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -3]], [[-2, -3]], [[2, 3]], [[2, -3]], [[-2, 2]], [[2, 2]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-2, 1]], [[-2, 3]], [[2, -1]], [[2, -2]], [[2, 3]], [[-2, -3]], [[-2, -1]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189914
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 120, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 8, 'label': '448.153.2d4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, 3]], [[2, -2]], [[2, 1]], [[2, -3]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 3]], [[-2, -3]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 3]], [[-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]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, -3]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, -2]], [[-2, 2]], [[-2, -3]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, -3]], [[2, 3]], [[-2, -2]], [[2, -2]], [[-2, -3]], [[2, -1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, -1]], [[-2, -3]], [[2, 1]], [[2, 2]], [[2, -3]], [[-2, 3]], [[-2, 1]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189915
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 121, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 8, 'label': '448.153.2d5', 'nt': [28, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, -3]], [[2, 2]], [[2, 1]], [[2, 3]], [[2, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 3]], [[2, -3]], [[2, 1]], [[2, 2]], [[-2, -2]], [[-2, -3]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-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]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, -3]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[-2, 3]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 2]], [[-2, 2]], [[2, -2]], [[2, 2]], [[-2, 1]], [[2, 1]], [[-2, -2]], [[2, -3]], [[-2, -3]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, 1]], [[-2, -3]], [[-2, -2]], [[2, 3]], [[2, -1]], [[2, -2]], [[-2, 2]], [[-2, 3]], [[-2, -1]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189916
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 122, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 8, 'label': '448.153.2d6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, 3]], [[2, -2]], [[2, -1]], [[2, -3]], [[2, 2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -3]], [[2, 3]], [[2, -1]], [[2, -2]], [[-2, 2]], [[-2, 3]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-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]], [[2, 3]], [[2, -1]], [[2, -3]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, 3]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[-2, -3]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[2, -2]], [[-2, -2]], [[2, 2]], [[2, -2]], [[-2, -1]], [[2, -1]], [[-2, 2]], [[2, 3]], [[-2, 3]], [[2, -3]], [[2, 3]], [[2, 1]], [[2, -1]], [[-2, 3]], [[-2, 2]], [[2, -3]], [[2, 1]], [[2, 2]], [[-2, -2]], [[-2, -3]], [[-2, 1]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189917
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 123, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 8, 'label': '448.153.2e1', 'nt': [28, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, -3]], [[2, -2]], [[2, -1]], [[2, 3]], [[2, 2]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -3]], [[2, 2]], [[2, -2]], [[2, 3]], [[2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -3]], [[-2, 3]], [[-2, -1]], [[-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]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, -1]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, -3]], [[2, 3]], [[2, 1]], [[2, 2]], [[-2, 2]], [[-2, -1]], [[-2, 3]], [[-2, -3]], [[-2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, -2]], [[2, -2]], [[-2, 2]], [[-2, -2]], [[-2, -3]], [[-2, 3]], [[2, -2]], [[2, 1]], [[-2, 2]], [[-2, -3]], [[-2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189918
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 124, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 8, 'label': '448.153.2e2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 3]], [[2, 2]], [[2, 1]], [[2, -3]], [[2, -2]], [[2, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 3]], [[2, -2]], [[2, 2]], [[2, -3]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 3]], [[-2, -3]], [[-2, 1]], [[-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]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, 1]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[-2, -2]], [[-2, 1]], [[-2, -3]], [[-2, 3]], [[-2, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[2, -3]], [[-2, -3]], [[2, -1]], [[-2, 2]], [[2, 2]], [[-2, -2]], [[-2, 2]], [[-2, 3]], [[-2, -3]], [[2, 2]], [[2, -1]], [[-2, -2]], [[-2, 3]], [[-2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189919
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 125, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 8, 'label': '448.153.2e3', 'nt': [28, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, -3]], [[2, 2]], [[2, -1]], [[2, 3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -3]], [[-2, 3]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -3]], [[-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]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -3]], [[2, -3]], [[2, -2]], [[2, 1]], [[2, 3]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, -1]], [[-2, -1]], [[-2, -3]], [[-2, 2]], [[-2, -2]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[2, 2]], [[-2, 2]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[2, 1]], [[2, 3]], [[-2, -1]], [[-2, -2]], [[-2, 3]], [[2, -3]], [[2, -1]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189920
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 126, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 8, 'label': '448.153.2e4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, 3]], [[2, -2]], [[2, 1]], [[2, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 3]], [[-2, -3]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 3]], [[-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]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 2]], [[2, -1]], [[2, -3]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, -2]], [[-2, 2]], [[-2, -3]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[2, -2]], [[-2, -2]], [[2, -3]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[2, -1]], [[2, -3]], [[-2, 1]], [[-2, 2]], [[-2, -3]], [[2, 3]], [[2, 1]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189921
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 127, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 8, 'label': '448.153.2e5', 'nt': [28, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, -3]], [[2, 2]], [[2, 1]], [[2, 3]], [[2, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -1]], [[2, 3]], [[2, -3]], [[2, 1]], [[2, 2]], [[-2, -2]], [[-2, -3]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-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]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, -3]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[-2, 3]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 2]], [[2, 2]], [[-2, -2]], [[-2, 2]], [[2, 1]], [[-2, 1]], [[2, -2]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -1]], [[-2, 1]], [[2, -3]], [[2, -2]], [[-2, 3]], [[-2, -1]], [[-2, -2]], [[2, 2]], [[2, 3]], [[2, -1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189922
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 128, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '56.9', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 8, 'label': '448.153.2e6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, 3]], [[2, -2]], [[2, -1]], [[2, -3]], [[2, 2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, -3]], [[2, 3]], [[2, -1]], [[2, -2]], [[-2, 2]], [[-2, 3]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-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]], [[2, 3]], [[2, -1]], [[2, -3]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, 3]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[-2, -3]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[-2, -2]], [[2, -2]], [[-2, 2]], [[-2, -2]], [[2, -1]], [[-2, -1]], [[2, 2]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 1]], [[-2, -1]], [[2, 3]], [[2, 2]], [[-2, -3]], [[-2, 1]], [[-2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189923
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 129, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[2, 12]], [[2, 8]], [[2, 4]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 8]], [[-2, 6]], [[2, 12]], [[-2, 10]], [[-2, 4]], [[2, 6]], [[2, 2]], [[-2, 12]], [[2, 10]], [[-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]], [[2, 6]], [[-2, 12]], [[-2, 8]], [[2, 10]], [[2, 10]], [[2, 2]], [[2, 6]], [[-2, 4]], [[2, 2]], [[-2, 12]], [[-2, 4]], [[-2, 8]], [[2, 8]], [[-2, 10]], [[2, 12]], [[-2, 2]], [[2, 4]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 11]], [[2, 3]], [[-2, 5]], [[-2, 5]], [[2, 11]], [[-2, 13]], [[-2, 13]], [[2, 1]], [[2, 13]], [[2, 9]], [[2, 5]], [[2, 13]], [[-2, 11]], [[-2, 1]], [[-2, 9]], [[-2, 11]], [[-2, 3]], [[-2, 1]], [[-2, 9]], [[2, 9]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189933
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 138, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 4]], [[2, 12]], [[-2, 6]], [[-2, 10]], [[-2, 2]], [[2, 8]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[2, 8]], [[2, 4]], [[-2, 2]], [[2, 12]], [[-2, 10]], [[-2, 6]], [[-2, 8]], [[-2, 12]], [[-2, 4]], [[2, 10]], [[2, 6]], [[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]], [[-2, 12]], [[2, 10]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 4]], [[-2, 12]], [[-2, 8]], [[-2, 4]], [[2, 10]], [[-2, 8]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[2, 4]], [[2, 8]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[-2, 13]], [[2, 13]], [[2, 1]], [[2, 13]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[2, 5]], [[2, 5]], [[-2, 9]], [[-2, 5]], [[2, 11]], [[2, 3]], [[-2, 5]], [[-2, 1]], [[2, 9]], [[-2, 11]], [[-2, 1]], [[-2, 13]], [[2, 9]], [[-2, 11]], [[2, 11]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189934
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 139, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[2, 8]], [[2, 4]], [[2, 12]], [[-2, 6]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 10]], [[2, 12]], [[-2, 2]], [[2, 4]], [[2, 8]], [[2, 6]], [[2, 2]], [[2, 10]], [[-2, 4]], [[-2, 8]], [[-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]], [[2, 2]], [[-2, 4]], [[-2, 12]], [[-2, 8]], [[-2, 8]], [[2, 10]], [[2, 2]], [[2, 6]], [[2, 10]], [[-2, 4]], [[2, 6]], [[-2, 12]], [[2, 12]], [[2, 8]], [[2, 4]], [[-2, 10]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 1]], [[2, 1]], [[2, 13]], [[2, 1]], [[-2, 11]], [[-2, 11]], [[2, 13]], [[2, 9]], [[2, 9]], [[-2, 5]], [[-2, 9]], [[2, 3]], [[2, 11]], [[-2, 9]], [[-2, 13]], [[2, 5]], [[-2, 3]], [[-2, 13]], [[-2, 1]], [[2, 5]], [[-2, 3]], [[2, 3]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189936
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 140, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 4]], [[2, 12]], [[-2, 6]], [[-2, 10]], [[-2, 2]], [[2, 8]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[2, 8]], [[2, 4]], [[-2, 2]], [[2, 12]], [[-2, 10]], [[-2, 6]], [[-2, 8]], [[-2, 12]], [[-2, 4]], [[2, 10]], [[2, 6]], [[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]], [[-2, 12]], [[2, 10]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 4]], [[-2, 12]], [[-2, 8]], [[-2, 4]], [[2, 10]], [[-2, 8]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[2, 4]], [[2, 8]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[2, 13]], [[-2, 13]], [[-2, 1]], [[-2, 13]], [[2, 3]], [[2, 3]], [[-2, 1]], [[-2, 5]], [[-2, 5]], [[2, 9]], [[2, 5]], [[-2, 11]], [[-2, 3]], [[2, 5]], [[2, 1]], [[-2, 9]], [[2, 11]], [[2, 1]], [[2, 13]], [[-2, 9]], [[2, 11]], [[-2, 11]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189925
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 130, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 12]], [[2, 8]], [[2, 4]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 12]], [[-2, 6]], [[2, 8]], [[-2, 2]], [[2, 4]], [[2, 10]], [[-2, 8]], [[-2, 12]], [[2, 2]], [[-2, 4]], [[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]], [[-2, 8]], [[2, 2]], [[2, 6]], [[-2, 4]], [[-2, 4]], [[-2, 12]], [[-2, 8]], [[2, 10]], [[-2, 12]], [[2, 2]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[2, 12]], [[-2, 10]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 13]], [[2, 11]], [[-2, 11]], [[-2, 3]], [[-2, 11]], [[2, 9]], [[2, 9]], [[-2, 3]], [[2, 1]], [[2, 1]], [[-2, 13]], [[-2, 1]], [[-2, 5]], [[-2, 9]], [[-2, 1]], [[2, 3]], [[2, 13]], [[2, 5]], [[2, 3]], [[2, 11]], [[2, 13]], [[2, 5]], [[-2, 5]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189926
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 131, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[2, 12]], [[2, 8]], [[2, 4]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 8]], [[-2, 6]], [[2, 12]], [[-2, 10]], [[-2, 4]], [[2, 6]], [[2, 2]], [[-2, 12]], [[2, 10]], [[-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]], [[2, 6]], [[-2, 12]], [[-2, 8]], [[2, 10]], [[2, 10]], [[2, 2]], [[2, 6]], [[-2, 4]], [[2, 2]], [[-2, 12]], [[-2, 4]], [[-2, 8]], [[2, 8]], [[-2, 10]], [[2, 12]], [[-2, 2]], [[2, 4]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[-2, 11]], [[-2, 3]], [[2, 5]], [[2, 5]], [[-2, 11]], [[2, 13]], [[2, 13]], [[-2, 1]], [[-2, 13]], [[-2, 9]], [[-2, 5]], [[-2, 13]], [[2, 11]], [[2, 1]], [[2, 9]], [[2, 11]], [[2, 3]], [[2, 1]], [[2, 9]], [[-2, 9]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189927
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 132, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 12]], [[2, 8]], [[2, 4]], [[-2, 2]], [[-2, 6]], [[-2, 10]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 12]], [[-2, 6]], [[2, 8]], [[-2, 2]], [[2, 4]], [[2, 10]], [[-2, 8]], [[-2, 12]], [[2, 2]], [[-2, 4]], [[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]], [[-2, 8]], [[2, 2]], [[2, 6]], [[-2, 4]], [[-2, 4]], [[-2, 12]], [[-2, 8]], [[2, 10]], [[-2, 12]], [[2, 2]], [[2, 10]], [[2, 6]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[2, 12]], [[-2, 10]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 13]], [[-2, 11]], [[2, 11]], [[2, 3]], [[2, 11]], [[-2, 9]], [[-2, 9]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[2, 13]], [[2, 1]], [[2, 5]], [[2, 9]], [[2, 1]], [[-2, 3]], [[-2, 13]], [[-2, 5]], [[-2, 3]], [[-2, 11]], [[-2, 13]], [[-2, 5]], [[2, 5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189928
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 133, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[2, 8]], [[-2, 10]], [[2, 12]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-2, 10]], [[2, 4]], [[2, 8]], [[-2, 2]], [[-2, 12]], [[-2, 4]], [[2, 6]], [[-2, 8]], [[2, 2]], [[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]], [[-2, 4]], [[-2, 8]], [[2, 10]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 4]], [[-2, 12]], [[2, 6]], [[-2, 8]], [[-2, 12]], [[2, 10]], [[-2, 10]], [[-2, 2]], [[2, 8]], [[-2, 6]], [[2, 12]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 9]], [[-2, 9]], [[-2, 5]], [[-2, 9]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 11]], [[2, 11]], [[-2, 3]], [[-2, 11]], [[2, 13]], [[2, 1]], [[-2, 11]], [[2, 5]], [[2, 3]], [[-2, 13]], [[2, 5]], [[2, 9]], [[2, 3]], [[-2, 13]], [[2, 13]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189929
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 134, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 8]], [[-2, 10]], [[2, 12]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 8]], [[2, 4]], [[-2, 10]], [[-2, 6]], [[2, 12]], [[2, 2]], [[2, 10]], [[-2, 8]], [[2, 6]], [[-2, 12]], [[-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]], [[2, 10]], [[2, 6]], [[-2, 4]], [[-2, 12]], [[-2, 12]], [[-2, 8]], [[2, 10]], [[2, 2]], [[-2, 8]], [[2, 6]], [[2, 2]], [[-2, 4]], [[2, 4]], [[2, 12]], [[-2, 6]], [[2, 8]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11]], [[-2, 5]], [[2, 5]], [[2, 9]], [[2, 5]], [[2, 13]], [[2, 13]], [[2, 9]], [[-2, 3]], [[-2, 3]], [[2, 11]], [[2, 3]], [[-2, 1]], [[-2, 13]], [[2, 3]], [[-2, 9]], [[-2, 11]], [[2, 1]], [[-2, 9]], [[-2, 5]], [[-2, 11]], [[2, 1]], [[-2, 1]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189930
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 135, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[2, 8]], [[-2, 10]], [[2, 12]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 6]], [[-2, 10]], [[2, 4]], [[2, 8]], [[-2, 2]], [[-2, 12]], [[-2, 4]], [[2, 6]], [[-2, 8]], [[2, 2]], [[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]], [[-2, 4]], [[-2, 8]], [[2, 10]], [[2, 2]], [[2, 2]], [[2, 6]], [[-2, 4]], [[-2, 12]], [[2, 6]], [[-2, 8]], [[-2, 12]], [[2, 10]], [[-2, 10]], [[-2, 2]], [[2, 8]], [[-2, 6]], [[2, 12]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 9]], [[2, 9]], [[2, 5]], [[2, 9]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 11]], [[-2, 11]], [[2, 3]], [[2, 11]], [[-2, 13]], [[-2, 1]], [[2, 11]], [[-2, 5]], [[-2, 3]], [[2, 13]], [[-2, 5]], [[-2, 9]], [[-2, 3]], [[2, 13]], [[-2, 13]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189931
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 136, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 8]], [[-2, 10]], [[2, 12]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 8]], [[2, 4]], [[-2, 10]], [[-2, 6]], [[2, 12]], [[2, 2]], [[2, 10]], [[-2, 8]], [[2, 6]], [[-2, 12]], [[-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]], [[2, 10]], [[2, 6]], [[-2, 4]], [[-2, 12]], [[-2, 12]], [[-2, 8]], [[2, 10]], [[2, 2]], [[-2, 8]], [[2, 6]], [[2, 2]], [[-2, 4]], [[2, 4]], [[2, 12]], [[-2, 6]], [[2, 8]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11]], [[2, 5]], [[-2, 5]], [[-2, 9]], [[-2, 5]], [[-2, 13]], [[-2, 13]], [[-2, 9]], [[2, 3]], [[2, 3]], [[-2, 11]], [[-2, 3]], [[2, 1]], [[2, 13]], [[-2, 3]], [[2, 9]], [[2, 11]], [[-2, 1]], [[2, 9]], [[2, 5]], [[2, 11]], [[-2, 1]], [[2, 1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189932
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 112, 'counter': 137, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '112.23', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 4, 'label': '448.153.2f9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[2, 8]], [[2, 4]], [[2, 12]], [[-2, 6]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 10]], [[2, 12]], [[-2, 2]], [[2, 4]], [[2, 8]], [[2, 6]], [[2, 2]], [[2, 10]], [[-2, 4]], [[-2, 8]], [[-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]], [[2, 2]], [[-2, 4]], [[-2, 12]], [[-2, 8]], [[-2, 8]], [[2, 10]], [[2, 2]], [[2, 6]], [[2, 10]], [[-2, 4]], [[2, 6]], [[-2, 12]], [[2, 12]], [[2, 8]], [[2, 4]], [[-2, 10]], [[-2, 6]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 1]], [[-2, 1]], [[-2, 13]], [[-2, 1]], [[2, 11]], [[2, 11]], [[-2, 13]], [[-2, 9]], [[-2, 9]], [[2, 5]], [[2, 9]], [[-2, 3]], [[-2, 11]], [[2, 9]], [[2, 13]], [[-2, 5]], [[2, 3]], [[2, 13]], [[2, 1]], [[-2, 5]], [[2, 3]], [[-2, 3]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189937
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 141, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '64.30', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 7, 'label': '448.153.4a1', 'nt': [16, 104], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[-4, 1]], [[4, 1]], [[4, 1]], [[4, 1]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189938
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 142, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '64.30', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 7, 'label': '448.153.4a2', 'nt': [16, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[4, 1]], [[4, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[4, 1]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[-4, 1]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189939
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 143, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b1', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[-4, 2]], [[-4, 6]], [[-4, 10]], [[4, 12]], [[4, 8]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 2]], [[-4, 8]], [[4, 6]], [[-4, 12]], [[4, 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]], [[-4, 13]], [[4, 5]], [[4, 1]], [[-4, 3]], [[4, 3]], [[4, 9]], [[4, 13]], [[-4, 11]], [[-4, 9]], [[-4, 5]], [[4, 11]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189949
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 152, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b10', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[4, 4]], [[4, 12]], [[-4, 6]], [[-4, 10]], [[-4, 2]], [[4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[-4, 4]], [[4, 2]], [[-4, 12]], [[4, 10]], [[4, 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]], [[4, 5]], [[4, 3]], [[-4, 9]], [[-4, 13]], [[4, 13]], [[4, 11]], [[-4, 5]], [[-4, 1]], [[-4, 11]], [[-4, 3]], [[4, 1]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189950
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 153, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b11', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[4, 4]], [[4, 12]], [[-4, 6]], [[-4, 10]], [[-4, 2]], [[4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[-4, 4]], [[4, 2]], [[-4, 12]], [[4, 10]], [[4, 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]], [[-4, 5]], [[-4, 3]], [[4, 9]], [[4, 13]], [[-4, 13]], [[-4, 11]], [[4, 5]], [[4, 1]], [[4, 11]], [[4, 3]], [[-4, 1]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189951
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 154, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b12', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[-4, 10]], [[-4, 2]], [[4, 8]], [[4, 4]], [[4, 12]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 6]], [[4, 10]], [[-4, 12]], [[4, 2]], [[-4, 4]], [[-4, 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]], [[4, 9]], [[4, 11]], [[-4, 5]], [[-4, 1]], [[4, 1]], [[4, 3]], [[-4, 9]], [[-4, 13]], [[-4, 3]], [[-4, 11]], [[4, 13]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189940
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 144, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b2', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[4, 12]], [[4, 8]], [[4, 4]], [[-4, 2]], [[-4, 6]], [[-4, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 10]], [[-4, 12]], [[4, 6]], [[-4, 8]], [[4, 2]], [[-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]], [[4, 1]], [[-4, 9]], [[-4, 13]], [[4, 11]], [[-4, 11]], [[-4, 5]], [[-4, 1]], [[4, 3]], [[4, 5]], [[4, 9]], [[-4, 3]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189941
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 145, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b3', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[4, 12]], [[4, 8]], [[4, 4]], [[-4, 2]], [[-4, 6]], [[-4, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 10]], [[-4, 12]], [[4, 6]], [[-4, 8]], [[4, 2]], [[-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]], [[-4, 1]], [[4, 9]], [[4, 13]], [[-4, 11]], [[4, 11]], [[4, 5]], [[4, 1]], [[-4, 3]], [[-4, 5]], [[-4, 9]], [[4, 3]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189942
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 146, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b4', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[-4, 2]], [[-4, 6]], [[-4, 10]], [[4, 12]], [[4, 8]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4]], [[4, 2]], [[-4, 8]], [[4, 6]], [[-4, 12]], [[4, 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]], [[4, 13]], [[-4, 5]], [[-4, 1]], [[4, 3]], [[-4, 3]], [[-4, 9]], [[-4, 13]], [[4, 11]], [[4, 9]], [[4, 5]], [[-4, 11]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189943
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 147, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b5', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 4]], [[-4, 2]], [[4, 8]], [[-4, 10]], [[4, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 6]], [[4, 10]], [[-4, 4]], [[-4, 8]], [[4, 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]], [[4, 11]], [[4, 1]], [[-4, 3]], [[4, 9]], [[-4, 9]], [[4, 13]], [[-4, 11]], [[4, 5]], [[-4, 13]], [[-4, 1]], [[-4, 5]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189944
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 148, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b6', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 10]], [[4, 12]], [[-4, 6]], [[4, 4]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[-4, 8]], [[-4, 4]], [[4, 10]], [[4, 6]], [[-4, 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]], [[-4, 3]], [[-4, 13]], [[4, 11]], [[-4, 5]], [[4, 5]], [[-4, 1]], [[4, 3]], [[-4, 9]], [[4, 1]], [[4, 13]], [[4, 9]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189945
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 149, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b7', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 10]], [[4, 12]], [[-4, 6]], [[4, 4]], [[-4, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[-4, 8]], [[-4, 4]], [[4, 10]], [[4, 6]], [[-4, 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]], [[4, 3]], [[4, 13]], [[-4, 11]], [[4, 5]], [[-4, 5]], [[4, 1]], [[-4, 3]], [[4, 9]], [[-4, 1]], [[-4, 13]], [[-4, 9]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189947
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 150, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b8', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 4]], [[-4, 2]], [[4, 8]], [[-4, 10]], [[4, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 6]], [[4, 10]], [[-4, 4]], [[-4, 8]], [[4, 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]], [[-4, 11]], [[-4, 1]], [[4, 3]], [[-4, 9]], [[4, 9]], [[-4, 13]], [[4, 11]], [[-4, 5]], [[4, 13]], [[4, 1]], [[4, 5]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7189948
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 28, 'counter': 151, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '448.153', 'group_counter': 153, 'group_order': 448, 'image': None, 'image_isoclass': '448.153', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1.a1', 'kernel_order': 1, 'label': '448.153.4b9', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[-4, 10]], [[-4, 2]], [[4, 8]], [[4, 4]], [[4, 12]], [[-4, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 6]], [[4, 10]], [[-4, 12]], [[4, 2]], [[-4, 4]], [[-4, 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]], [[-4, 9]], [[-4, 11]], [[4, 5]], [[4, 1]], [[-4, 1]], [[-4, 3]], [[4, 9]], [[4, 13]], [[4, 3]], [[4, 11]], [[-4, 13]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 66691216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 448, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 14, 'label': '448.153.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '448.153', 'subgroup_hash': 153, 'subgroup_order': 448, 'subgroup_tex': '\\OD_{32}:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 224, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '224.165', 'subgroup_hash': 165, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 224, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '224.59', 'subgroup_hash': 59, 'subgroup_order': 224, 'subgroup_tex': 'C_7\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 66691249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 224, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '224.59', 'subgroup_hash': 59, 'subgroup_order': 224, 'subgroup_tex': 'C_7\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 66691260
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 112, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.37', 'subgroup_hash': 37, 'subgroup_order': 112, 'subgroup_tex': 'C_2^2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691270
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 112, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.22', 'subgroup_hash': 22, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 66691271
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 112, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.22', 'subgroup_hash': 22, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 66691272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.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': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691217
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 10, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.e1.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': '112.2', 'subgroup_hash': 2, 'subgroup_order': 112, 'subgroup_tex': 'C_{112}', 'supersolvable': True, 'sylow': 0}
  • id: 66691218
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.4.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.2', 'subgroup_hash': 2, 'subgroup_order': 112, 'subgroup_tex': 'C_{112}', 'supersolvable': True, 'sylow': 0}
  • id: 66691219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': True, 'centralizer_order': 28, 'characteristic': True, 'core_order': 64, 'counter': 12, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '448.153.7.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '7.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 7, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.30', 'subgroup_hash': 30, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{32}:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 66691220
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 56, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.13', 'subgroup_hash': 13, 'subgroup_order': 56, 'subgroup_tex': 'C_2^2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691221
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': True, 'core_order': 56, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691222
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 56, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691223
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 56, 'counter': 16, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 66691224
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 56, 'counter': 17, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.b1', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 66691225
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.e1.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': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691226
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1.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': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691228
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.g1.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': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 66691229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 32, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 32, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 66691231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 32, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.14.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 66691232
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': True, 'core_order': 28, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691233
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 448, 'characteristic': True, 'core_order': 28, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691234
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': True, 'core_order': 28, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691235
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691236
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 66691237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 7, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691239
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 16, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66691240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 16, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 66691241
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 16, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 66691242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.28.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691244
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 35, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691245
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 36, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.28.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 66691246
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 448, 'characteristic': True, 'core_order': 14, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691247
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 7, 'counter': 38, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691248
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 7, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66691250
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 8, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{56}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66691251
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': True, 'core_order': 8, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66691252
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 8, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{56}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66691253
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 8, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.56.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 66691254
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 8, 'counter': 44, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.56.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 66691255
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.56.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.e1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66691256
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.56.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.f1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66691257
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.56.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 66691258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 448, 'characteristic': True, 'core_order': 7, 'counter': 48, 'cyclic': True, 'direct': True, 'hall': 7, 'label': '448.153.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 66691259
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': True, 'core_order': 4, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '448.153.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.22', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{56}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66691261
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 448, 'characteristic': True, 'core_order': 4, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.112.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], '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: 66691262
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': True, 'core_order': 4, 'counter': 51, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.112.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66691263
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.112.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.d1.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': 112, '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: 66691264
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.112.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.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': 112, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66691265
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '448.153.112.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.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': 112, '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: 66691266
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 448, 'characteristic': True, 'core_order': 2, 'counter': 55, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '448.153.224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '224.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{56}', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C6'], '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: 66691267
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.224.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.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': 224, '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: 66691268
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '448.153.224.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.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': 224, '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: 66691269
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '448.153', 'ambient_counter': 153, 'ambient_order': 448, 'ambient_tex': '\\OD_{32}:C_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 448, 'characteristic': True, 'core_order': 1, 'counter': 58, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '448.153.448.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '448.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '448.153', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 153, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 448, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_{14}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'L3', 'D2', 'C7'], '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: 66691257
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '4.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '28.c1.a1', '28.d1.a1', '28.d1.b1'], 'contains': ['112.b1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7112, -1, 6228, -1, 7501, -1, 6522, -1], 'generators': [63], 'label': '448.153.56.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.g1.a1', 'projective_image': '112.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691216
    {'ambient': '448.153', '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': '16.b1.a1', 'complements': ['448.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '7.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8679, 8530, 8510, 8213, 7597, 7485, 8359, 2677], 'generators': [7, 112, 2, 238, 28, 224, 56], 'label': '448.153.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '7.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '16.3', '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': '16.3'}
  • id: 66691217
    {'ambient': '448.153', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 16, 'centralizer': '4.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.d1.a1', '28.e1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9384, -1, 8602, -1, 9254, -1, 8433, -1], 'generators': [28, 56, 112, 2, 224], 'label': '448.153.4.e1.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.e1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691218
    {'ambient': '448.153', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.44', 'aut_weyl_index': 16, 'centralizer': '4.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.d1.b1', '28.e1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9384, -1, 9261, -1, 9254, -1, 9351, -1], 'generators': [35, 70, 112, 2, 224], 'label': '448.153.4.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '4.e1.b1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691219
    {'ambient': '448.153', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.1757', 'aut_weyl_index': 6, 'centralizer': '16.b1.a1', 'complements': ['64.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.b1.a1', '14.b1.b1'], 'core': '7.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9338, 9035, 9309, 8793, 7597, 7485, 8748, 2042], 'generators': [7, 28], 'label': '448.153.7.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '7.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['14.a1.a1', '14.b1.a1', '14.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '112.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 66691220
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.45', 'aut_weyl_index': 16, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.f1.a1', '56.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1715, 2302, 1330, 990, 1308, 3690, 1092, 8136], 'generators': [7, 224, 2, 238], 'label': '448.153.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '32.5', 'quotient_action_image': '4.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691221
    {'ambient': '448.153', 'aut_centralizer_order': 32, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '56.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5550, 4281, 4440, 4114, 5678, 5281, 4895, 5633], 'generators': [238, 2, 224, 112], 'label': '448.153.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '16.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691222
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.45', 'aut_weyl_index': 16, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.e1.a1', '56.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2722, 677, 3462, 2391, 2236, 663, 1899, 9452], 'generators': [119, 2, 224, 238], 'label': '448.153.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '32.5', 'quotient_action_image': '4.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691223
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 32, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '56.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7875, 7588, 7730, 6144, 8077, 8921, 7445, 1958], 'generators': [56, 112, 224, 2], 'label': '448.153.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.b1.a1', '56.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '16.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691224
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 32, 'centralizer': '2.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.b1', '4.e1.b1'], 'contains': ['16.b1.a1', '56.d1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7875, 7588, 8157, 5130, 8077, 8921, 7853, 3652], 'generators': [294, 112, 224, 2], 'label': '448.153.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.b1.a1', '56.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '16.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691225
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 32, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.e1.a1', '56.e1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4607, -1, 5230, -1, 3973, -1, 3411, -1], 'generators': [7, 2, 224, 112], 'label': '448.153.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691226
    {'ambient': '448.153', 'aut_centralizer_order': 32, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 64, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.d1.a1', '16.e1.a1', '56.f1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3664, -1, 2541, -1, 3104, -1, 2655, -1], 'generators': [7, 2, 224, 350], 'label': '448.153.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691227
    {'ambient': '448.153', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1410', 'aut_weyl_index': 4, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.d1.b1', '14.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7302, 6644, 6829, 5789, 6526, 5830, 5906, 5089], 'generators': [7, 224, 56, 2, 238, 112], 'label': '448.153.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 66691228
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 32, 'centralizer': '4.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.b1.a1', '56.g1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6920, -1, 6025, -1, 6350, -1, 5479, -1], 'generators': [63, 336, 224, 2], 'label': '448.153.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691229
    {'ambient': '448.153', 'aut_centralizer_order': 24, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 24, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '28.d1.a1', '28.d1.b1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8147, 6793, 7241, 7681, 7533, 6653, 6935, 4499], 'generators': [7, 238, 56], 'label': '448.153.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1', '7.a1.a1'], 'normal_contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '112.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 66691230
    {'ambient': '448.153', 'aut_centralizer_order': 12, 'aut_label': '14.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.48', 'aut_weyl_index': 24, 'centralizer': '8.d1.a1', 'complements': ['32.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.e1.a1'], 'core': '14.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9581, 9035, 9164, 8978, 9782, 9625, 8892, 2042], 'generators': [238, 28], 'label': '448.153.14.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.b1.a1', 'normal_contained_in': ['2.b1.a1', '7.a1.a1'], 'normal_contains': ['28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '112.20', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66691231
    {'ambient': '448.153', 'aut_centralizer_order': 12, 'aut_label': '14.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.48', 'aut_weyl_index': 24, 'centralizer': '8.d1.b1', 'complements': ['32.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.e1.b1'], 'core': '14.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9581, 9035, 9649, 9783, 9782, 9625, 9810, 1285], 'generators': [35, 56], 'label': '448.153.14.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.b1.b1', 'normal_contained_in': ['2.b1.b1', '7.a1.a1'], 'normal_contains': ['28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.b1.b1', 'projective_image': '112.20', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.b1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66691232
    {'ambient': '448.153', 'aut_centralizer_order': 64, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '112.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1362, 1742, 2119, 1473, 2566, 4046, 1092, 6586], 'generators': [238, 2, 224], 'label': '448.153.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '32.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691233
    {'ambient': '448.153', 'aut_centralizer_order': 64, 'aut_label': '16.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '112.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6301, 5103, 5443, 4798, 6350, 7247, 5521, 3940], 'generators': [112, 224, 2], 'label': '448.153.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.b1.a1', '8.d1.a1', '8.d1.b1'], 'normal_contains': ['32.a1.a1', '112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '16.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691234
    {'ambient': '448.153', 'aut_centralizer_order': 64, 'aut_label': '16.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '112.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4549, 3926, 2731, 2794, 5156, 5199, 3851, 5633], 'generators': [350, 224, 2], 'label': '448.153.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.a1.a1', '112.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '32.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691235
    {'ambient': '448.153', 'aut_centralizer_order': 32, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 64, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.e1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '32.c1.a1', '112.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2646, -1, 1330, -1, 1255, -1, 1848, -1], 'generators': [7, 2, 224], 'label': '448.153.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691236
    {'ambient': '448.153', 'aut_centralizer_order': 32, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 64, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.e1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '112.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3704, -1, 3341, -1, 3237, -1, 2812, -1], 'generators': [119, 224, 2], 'label': '448.153.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691237
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.5', 'aut_weyl_index': 64, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.b1.a1', '32.c1.a1', '112.f1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [419, -1, 351, -1, 386, -1, 336, -1], 'generators': [7, 2, 238], 'label': '448.153.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.f1.a1', 'projective_image': '64.30', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691238
    {'ambient': '448.153', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1533', 'aut_weyl_index': 4, 'centralizer': '8.d1.a1', 'complements': ['224.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '14.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9430, 9744, 7972, 7689, 8908, 9021, 7969, 3312], 'generators': [238, 224, 2, 56, 28, 112], 'label': '448.153.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '14.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '16.3', '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': '8.3'}
  • id: 66691239
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '28.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 96, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1'], 'contains': ['56.a1.a1', '56.b1.a1', '56.c1.a1', '56.e1.a1', '56.f1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5151, 3600, 4295, 3688, 4825, 2126, 4153, 6843], 'generators': [7, 238, 112], 'label': '448.153.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '56.b1.a1', '56.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '112.20', 'quotient_action_image': '4.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691240
    {'ambient': '448.153', 'aut_centralizer_order': 48, 'aut_label': '28.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 48, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1', '14.b1.a1', '14.b1.b1'], 'contains': ['56.b1.a1', '56.d1.a1', '56.d1.b1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8604, 7707, 8534, 7408, 8673, 7896, 8372, 2805], 'generators': [238, 56], 'label': '448.153.28.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.b1.a1', '14.a1.a1', '14.b1.a1', '14.b1.b1'], 'normal_contains': ['56.b1.a1', '56.d1.a1', '56.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '112.20', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66691241
    {'ambient': '448.153', 'aut_centralizer_order': 48, 'aut_label': '28.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 48, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.a1.a1'], 'contains': ['56.b1.a1', '56.g1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6804, 6438, 5807, 6007, 6947, 6653, 5998, 4499], 'generators': [63, 238], 'label': '448.153.28.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.c1.a1', '14.a1.a1'], 'normal_contains': ['56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '112.20', 'quotient_action_image': '4.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691242
    {'ambient': '448.153', 'aut_centralizer_order': 24, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 96, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.a1.a1'], 'contains': ['56.d1.a1', '56.e1.a1', '56.g1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7707, -1, 6597, -1, 7575, -1, 6545, -1], 'generators': [7, 56], 'label': '448.153.28.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.d1.a1', 'projective_image': '112.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66691243
    {'ambient': '448.153', 'aut_centralizer_order': 24, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 96, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '14.a1.a1'], 'contains': ['56.d1.b1', '56.e1.a1', '56.g1.a1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7707, -1, 7241, -1, 7575, -1, 7009, -1], 'generators': [7, 294], 'label': '448.153.28.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.d1.b1', 'projective_image': '112.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66691244
    {'ambient': '448.153', 'aut_centralizer_order': 24, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 96, 'centralizer': '4.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.b1.a1'], 'contains': ['56.d1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9581, -1, 7991, -1, 9270, -1, 8892, -1], 'generators': [28], 'label': '448.153.28.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.e1.a1', 'projective_image': '112.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691245
    {'ambient': '448.153', 'aut_centralizer_order': 24, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 96, 'centralizer': '4.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '14.b1.b1'], 'contains': ['56.d1.b1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9581, -1, 9649, -1, 9270, -1, 9351, -1], 'generators': [35], 'label': '448.153.28.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '28.e1.b1', 'projective_image': '112.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691246
    {'ambient': '448.153', 'aut_centralizer_order': 128, 'aut_label': '32.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '224.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2462, 1713, 2333, 1473, 3237, 5199, 2636, 5633], 'generators': [224, 2], 'label': '448.153.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '32.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.5', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691247
    {'ambient': '448.153', 'aut_centralizer_order': 64, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 128, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.f1.a1'], 'contains': ['64.a1.a1', '224.b1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [772, -1, 903, -1, 2332, -1, 1268, -1], 'generators': [238, 2], 'label': '448.153.32.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '64.30', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691248
    {'ambient': '448.153', 'aut_centralizer_order': 32, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '6.2', 'aut_weyl_index': 128, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.f1.a1'], 'contains': ['64.a1.a1', '224.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1287, -1, 478, -1, 1340, -1, 1848, -1], 'generators': [7, 2], 'label': '448.153.32.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '64.30', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691249
    {'ambient': '448.153', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1533', 'aut_weyl_index': 4, 'centralizer': '8.d1.b1', 'complements': ['224.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.b1', '14.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9430, 9744, 9048, 9783, 8908, 9021, 9527, 771], 'generators': [35, 224, 2, 70, 56, 112], 'label': '448.153.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '14.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '16.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66691250
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '56.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 96, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1'], 'contains': ['112.a1.a1', '112.d1.a1', '112.f1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2074, 3039, 1562, 1449, 1911, 2922, 2418, 7516], 'generators': [7, 238, 224], 'label': '448.153.56.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '224.47', 'quotient_action_image': '4.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691251
    {'ambient': '448.153', 'aut_centralizer_order': 192, 'aut_label': '56.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1'], 'contains': ['112.a1.a1', '112.b1.a1', '112.c1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6094, 4057, 4561, 4083, 6947, 6223, 6040, 4786], 'generators': [238, 112], 'label': '448.153.56.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': ['8.b1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1'], 'normal_contains': ['112.a1.a1', '112.b1.a1', '112.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.a1', 'projective_image': '112.20', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691252
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '56.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 96, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.a1.a1'], 'contains': ['112.a1.a1', '112.e1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3294, 2022, 3719, 2327, 3834, 1925, 3332, 8340], 'generators': [119, 238], 'label': '448.153.56.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': ['8.c1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.c1.a1', 'projective_image': '224.47', 'quotient_action_image': '4.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691253
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '56.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.b1.a1', '28.d1.a1', '28.e1.a1'], 'contains': ['112.b1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8604, 7707, 7687, 6707, 8077, 7979, 7445, 2790], 'generators': [56], 'label': '448.153.56.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': ['8.d1.a1', '28.b1.a1'], 'normal_contains': ['112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.a1', 'projective_image': '112.20', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691254
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '56.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '2.b1.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '28.b1.a1', '28.d1.b1', '28.e1.b1'], 'contains': ['112.b1.a1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8604, 7707, 8534, 5443, 8077, 7979, 7853, 3335], 'generators': [294], 'label': '448.153.56.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.d1.b1', 'normal_contained_in': ['8.d1.b1', '28.b1.a1'], 'normal_contains': ['112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.b1', 'projective_image': '112.20', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691255
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '56.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.a1.a1', '28.d1.a1', '28.d1.b1'], 'contains': ['112.b1.a1', '112.d1.a1', '112.e1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5307, -1, 5220, -1, 5753, -1, 5001, -1], 'generators': [7, 112], 'label': '448.153.56.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.e1.a1', 'projective_image': '112.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691256
    {'ambient': '448.153', 'aut_centralizer_order': 192, 'aut_label': '56.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '28.a1.a1'], 'contains': ['112.c1.a1', '112.d1.a1', '112.e1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4300, -1, 3060, -1, 4559, -1, 4370, -1], 'generators': [7, 350], 'label': '448.153.56.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.f1.a1', 'projective_image': '224.47', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691258
    {'ambient': '448.153', 'aut_centralizer_order': 128, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['448.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [969, 256, 627, 217, 2300, 5199, 1866, 5633], 'generators': [2], 'label': '448.153.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '64.30', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.30', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691259
    {'ambient': '448.153', 'aut_centralizer_order': 384, 'aut_label': '112.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.c1.a1'], 'contains': ['224.a1.a1', '224.b1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1993, 2525, 2076, 1819, 3690, 4046, 3030, 6586], 'generators': [238, 224], 'label': '448.153.112.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.c1.a1'], 'normal_contains': ['224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '224.47', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.8', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691260
    {'ambient': '448.153', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.45', 'aut_weyl_index': 16, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.e1.a1', '8.f1.a1', '28.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4607, 3338, 3951, 3301, 3973, 3297, 3174, 7274], 'generators': [7, 112, 2, 238, 224], 'label': '448.153.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '16.3', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691261
    {'ambient': '448.153', 'aut_centralizer_order': 384, 'aut_label': '112.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.b1.a1', '56.d1.a1', '56.d1.b1', '56.e1.a1', '56.g1.a1'], 'contains': ['224.a1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6475, 5337, 5642, 5001, 6648, 6918, 6040, 3940], 'generators': [112], 'label': '448.153.112.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '112.b1.a1', 'normal_contained_in': ['16.b1.a1', '56.b1.a1', '56.d1.a1', '56.d1.b1'], 'normal_contains': ['224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.b1.a1', 'projective_image': '112.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '112.20', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '112.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691262
    {'ambient': '448.153', 'aut_centralizer_order': 384, 'aut_label': '112.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '56.b1.a1', '56.f1.a1'], 'contains': ['224.a1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4694, 4057, 3026, 3028, 4858, 5930, 4236, 5028], 'generators': [350], 'label': '448.153.112.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '112.c1.a1', 'normal_contained_in': ['16.c1.a1', '56.b1.a1'], 'normal_contains': ['224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.c1.a1', 'projective_image': '224.47', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.8', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691263
    {'ambient': '448.153', 'aut_centralizer_order': 192, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '56.a1.a1', '56.e1.a1', '56.f1.a1'], 'contains': ['224.a1.a1', '224.c1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2826, -1, 1592, -1, 2784, -1, 3411, -1], 'generators': [7, 224], 'label': '448.153.112.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.d1.a1', 'projective_image': '224.47', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691264
    {'ambient': '448.153', 'aut_centralizer_order': 192, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '56.c1.a1', '56.e1.a1', '56.f1.a1'], 'contains': ['224.a1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3925, -1, 3719, -1, 4101, -1, 3768, -1], 'generators': [119], 'label': '448.153.112.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.e1.a1', 'projective_image': '224.47', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66691265
    {'ambient': '448.153', 'aut_centralizer_order': 96, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '56.a1.a1'], 'contains': ['224.b1.a1', '224.c1.a1'], 'core': '448.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [998, -1, 826, -1, 1879, -1, 2242, -1], 'generators': [7, 238], 'label': '448.153.112.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '112.f1.a1', 'projective_image': '448.153', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691266
    {'ambient': '448.153', 'aut_centralizer_order': 768, 'aut_label': '224.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.a1.a1', '112.b1.a1', '112.c1.a1', '112.d1.a1', '112.e1.a1'], 'contains': ['448.a1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2826, 2525, 2614, 1819, 3690, 5857, 3411, 5089], 'generators': [224], 'label': '448.153.224.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '224.a1.a1', 'normal_contained_in': ['32.a1.a1', '112.a1.a1', '112.b1.a1', '112.c1.a1'], 'normal_contains': ['448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.a1.a1', 'projective_image': '224.47', 'quotient_action_image': '1.1', 'quotient_action_kernel': '224.47', 'quotient_action_kernel_order': 224, 'quotient_fusion': None, 'short_label': '224.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691267
    {'ambient': '448.153', 'aut_centralizer_order': 384, 'aut_label': '224.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '112.a1.a1', '112.f1.a1'], 'contains': ['448.a1.a1'], 'core': '448.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [986, -1, 1165, -1, 2683, -1, 2214, -1], 'generators': [238], 'label': '448.153.224.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '224.b1.a1', 'projective_image': '448.153', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691268
    {'ambient': '448.153', 'aut_centralizer_order': 192, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '112.d1.a1', '112.f1.a1'], 'contains': ['448.a1.a1'], 'core': '448.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1403, -1, 816, -1, 1900, -1, 2548, -1], 'generators': [7], 'label': '448.153.224.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '224.c1.a1', 'projective_image': '448.153', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691269
    {'ambient': '448.153', 'aut_centralizer_order': None, 'aut_label': '448.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': ['64.a1.a1', '224.a1.a1', '224.b1.a1', '224.c1.a1'], 'contains': [], 'core': '448.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1194, 1611, 991, 838, 2491, 5528, 2381, 5361], 'generators': [], 'label': '448.153.448.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '448.a1.a1', 'normal_contained_in': ['64.a1.a1', '224.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '448.a1.a1', 'projective_image': '448.153', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '448.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66691270
    {'ambient': '448.153', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.221', 'aut_weyl_index': 8, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '28.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7875, 7588, 7972, 6193, 8561, 8418, 7830, 3040], 'generators': [238, 2, 112, 56, 224], 'label': '448.153.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '16.3', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66691271
    {'ambient': '448.153', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.221', 'aut_weyl_index': 8, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.g1.a1', '28.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5642, 5224, 4842, 4880, 5321, 4888, 3981, 5958], 'generators': [63, 2, 336, 238, 224], 'label': '448.153.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '16.3', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66691272
    {'ambient': '448.153', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.52', 'aut_weyl_index': 16, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.e1.a1', '8.g1.a1', '28.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6758, -1, 5777, -1, 6350, -1, 4876, -1], 'generators': [7, 2, 112, 56, 224], 'label': '448.153.4.d1.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.d1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66691273
    {'ambient': '448.153', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.52', 'aut_weyl_index': 16, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.b1', '8.e1.a1', '8.g1.a1', '28.d1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6758, -1, 6853, -1, 6350, -1, 5906, -1], 'generators': [7, 2, 112, 294, 224], 'label': '448.153.4.d1.b1', '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.d1.b1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}