Abstract group data - 450.29

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• gps_groups •

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

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '30.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 60, 'aut_gen_orders': [2, 2, 4, 60], 'aut_gens': [[1, 30], [11, 30], [1, 330], [1, 240], [43, 30]], 'aut_group': '960.11024', 'aut_hash': 11024, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 960, 'aut_permdeg': 21, 'aut_perms': [43920661633114700310, 1346867225347685792, 1428885169286258465, 648174390504670936], 'aut_phi_ratio': 8.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 15, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 8, 1], [6, 15, 2, 1], [10, 15, 4, 1], [15, 1, 8, 1], [15, 2, 4, 3], [15, 2, 8, 2], [15, 2, 16, 2], [15, 2, 32, 1], [30, 15, 8, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_{30}:C_4^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '8.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '120.36', 'autcentquo_hash': 36, 'autcentquo_nilpotent': False, 'autcentquo_order': 120, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_5', 'cc_stats': [[1, 1, 1], [2, 15, 1], [3, 1, 2], [3, 2, 3], [5, 1, 4], [5, 2, 10], [6, 15, 2], [10, 15, 4], [15, 1, 8], [15, 2, 92], [30, 15, 8]], 'center_label': '15.1', 'center_order': 15, 'central_product': True, 'central_quotient': '30.3', 'commutator_count': 1, 'commutator_label': '15.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '5.1', '5.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 29, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['30.3', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 15, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 4, 2], [6, 15, 2, 1], [10, 15, 4, 1], [15, 1, 8, 1], [15, 2, 4, 3], [15, 2, 8, 10], [30, 15, 8, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 72, 'exponent': 30, 'exponents_of_order': [2, 2, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[2, 0, 32]], 'familial': True, 'frattini_label': '1.1', 'frattini_quotient': '450.29', 'hash': 29, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 15], 'inner_gens': [[1, 420], [61, 30]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 30, 'inner_split': True, 'inner_tex': 'D_{15}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 4, 'irrep_stats': [[1, 30], [2, 105]], 'label': '450.29', 'linC_count': 32, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 12, 'linQ_dim': 12, 'linQ_dim_count': 12, 'linR_count': 48, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C15*D15', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 135, 'number_divisions': 26, 'number_normal_subgroups': 20, 'number_subgroup_autclasses': 41, 'number_subgroup_classes': 48, 'number_subgroups': 144, 'old_label': None, 'order': 450, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 15], [3, 8], [5, 24], [6, 30], [10, 60], [15, 192], [30, 120]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4, 4], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[11, 30], [1, 390], [13, 30]], 'outer_group': '32.21', 'outer_hash': 21, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 10, 'outer_perms': [362880, 17, 5880], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4^2', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 4], [8, 7], [16, 10]], 'representations': {'PC': {'code': 2077675066962947191, 'gens': [1, 4], 'pres': [5, -2, -3, -5, -3, -5, 10, 36, 8403, 78, 9004]}, 'Lie': [{'d': 2, 'q': 16, 'gens': [272, 36866, 8194], 'family': 'COPlus'}], 'GLFp': {'d': 2, 'p': 31, 'gens': [208546, 992, 268120]}, 'Perm': {'d': 16, 'gens': [87657655680, 3, 5904, 3991680, 1482509952000]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [30], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{15}\\times D_{15}', 'transitive_degree': 30, 'wreath_data': ['C_{15}', 'C_2', '2T1'], 'wreath_product': True}
• 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: 110299430
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 29, 'group_order': 450, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 110299477
    {'aut_label': '2A', 'centralizer': '15.b1.a1', 'counter': 2, 'group_counter': 29, 'group_order': 450, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 15, 'size': 15}
  • id: 110299488
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 29, 'group_order': 450, 'label': '3A1', 'order': 3, 'powers': [4, 1, 4], 'representative': 20, 'size': 1}
  • id: 110299499
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 29, 'group_order': 450, 'label': '3A-1', 'order': 3, 'powers': [3, 1, 3], 'representative': 10, 'size': 1}
  • id: 110299510
    {'aut_label': '3B', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 29, 'group_order': 450, 'label': '3B', 'order': 3, 'powers': [5, 1, 5], 'representative': 150, 'size': 2}
  • id: 110299521
    {'aut_label': '3C1', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 29, 'group_order': 450, 'label': '3C1', 'order': 3, 'powers': [7, 1, 7], 'representative': 160, 'size': 2}
  • id: 110299532
    {'aut_label': '3C1', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 29, 'group_order': 450, 'label': '3C-1', 'order': 3, 'powers': [6, 1, 6], 'representative': 320, 'size': 2}
  • id: 110299543
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 29, 'group_order': 450, 'label': '5A1', 'order': 5, 'powers': [10, 11, 1], 'representative': 18, 'size': 1}
  • id: 110299554
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 29, 'group_order': 450, 'label': '5A-1', 'order': 5, 'powers': [11, 10, 1], 'representative': 12, 'size': 1}
  • id: 110299431
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 29, 'group_order': 450, 'label': '5A2', 'order': 5, 'powers': [9, 8, 1], 'representative': 6, 'size': 1}
  • id: 110299442
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 29, 'group_order': 450, 'label': '5A-2', 'order': 5, 'powers': [8, 9, 1], 'representative': 24, 'size': 1}
  • id: 110299453
    {'aut_label': '5B1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 29, 'group_order': 450, 'label': '5B1', 'order': 5, 'powers': [13, 13, 1], 'representative': 90, 'size': 2}
  • id: 110299464
    {'aut_label': '5B1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 29, 'group_order': 450, 'label': '5B2', 'order': 5, 'powers': [12, 12, 1], 'representative': 180, 'size': 2}
  • id: 110299471
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 29, 'group_order': 450, 'label': '5C1', 'order': 5, 'powers': [16, 17, 1], 'representative': 108, 'size': 2}
  • id: 110299472
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 29, 'group_order': 450, 'label': '5C-1', 'order': 5, 'powers': [17, 16, 1], 'representative': 372, 'size': 2}
  • id: 110299473
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 29, 'group_order': 450, 'label': '5C2', 'order': 5, 'powers': [15, 14, 1], 'representative': 186, 'size': 2}
  • id: 110299474
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 29, 'group_order': 450, 'label': '5C-2', 'order': 5, 'powers': [14, 15, 1], 'representative': 294, 'size': 2}
  • id: 110299475
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 29, 'group_order': 450, 'label': '5D1', 'order': 5, 'powers': [20, 21, 1], 'representative': 96, 'size': 2}
  • id: 110299476
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 29, 'group_order': 450, 'label': '5D-1', 'order': 5, 'powers': [21, 20, 1], 'representative': 384, 'size': 2}
  • id: 110299478
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 29, 'group_order': 450, 'label': '5D2', 'order': 5, 'powers': [19, 18, 1], 'representative': 192, 'size': 2}
  • id: 110299479
    {'aut_label': '5C1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 29, 'group_order': 450, 'label': '5D-2', 'order': 5, 'powers': [18, 19, 1], 'representative': 288, 'size': 2}
  • id: 110299480
    {'aut_label': '6A1', 'centralizer': '15.b1.a1', 'counter': 22, 'group_counter': 29, 'group_order': 450, 'label': '6A1', 'order': 6, 'powers': [4, 2, 23], 'representative': 5, 'size': 15}
  • id: 110299481
    {'aut_label': '6A1', 'centralizer': '15.b1.a1', 'counter': 23, 'group_counter': 29, 'group_order': 450, 'label': '6A-1', 'order': 6, 'powers': [3, 2, 22], 'representative': 25, 'size': 15}
  • id: 110299482
    {'aut_label': '10A1', 'centralizer': '15.b1.a1', 'counter': 24, 'group_counter': 29, 'group_order': 450, 'label': '10A1', 'order': 10, 'powers': [10, 26, 2], 'representative': 3, 'size': 15}
  • id: 110299483
    {'aut_label': '10A1', 'centralizer': '15.b1.a1', 'counter': 25, 'group_counter': 29, 'group_order': 450, 'label': '10A-1', 'order': 10, 'powers': [11, 27, 2], 'representative': 27, 'size': 15}
  • id: 110299484
    {'aut_label': '10A1', 'centralizer': '15.b1.a1', 'counter': 26, 'group_counter': 29, 'group_order': 450, 'label': '10A3', 'order': 10, 'powers': [8, 25, 2], 'representative': 9, 'size': 15}
  • id: 110299485
    {'aut_label': '10A1', 'centralizer': '15.b1.a1', 'counter': 27, 'group_counter': 29, 'group_order': 450, 'label': '10A-3', 'order': 10, 'powers': [9, 24, 2], 'representative': 21, 'size': 15}
  • id: 110299486
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 29, 'group_order': 450, 'label': '15A1', 'order': 15, 'powers': [30, 10, 4], 'representative': 2, 'size': 1}
  • id: 110299487
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 29, 'group_order': 450, 'label': '15A-1', 'order': 15, 'powers': [31, 11, 3], 'representative': 28, 'size': 1}
  • id: 110299489
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 29, 'group_order': 450, 'label': '15A2', 'order': 15, 'powers': [32, 9, 3], 'representative': 4, 'size': 1}
  • id: 110299490
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 29, 'group_order': 450, 'label': '15A-2', 'order': 15, 'powers': [33, 8, 4], 'representative': 26, 'size': 1}
  • id: 110299491
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 29, 'group_order': 450, 'label': '15A4', 'order': 15, 'powers': [35, 11, 4], 'representative': 8, 'size': 1}
  • id: 110299492
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 29, 'group_order': 450, 'label': '15A-4', 'order': 15, 'powers': [34, 10, 3], 'representative': 22, 'size': 1}
  • id: 110299493
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 29, 'group_order': 450, 'label': '15A7', 'order': 15, 'powers': [29, 9, 4], 'representative': 14, 'size': 1}
  • id: 110299494
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 29, 'group_order': 450, 'label': '15A-7', 'order': 15, 'powers': [28, 8, 3], 'representative': 16, 'size': 1}
  • id: 110299495
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 29, 'group_order': 450, 'label': '15B1', 'order': 15, 'powers': [37, 12, 5], 'representative': 30, 'size': 2}
  • id: 110299496
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 29, 'group_order': 450, 'label': '15B2', 'order': 15, 'powers': [38, 13, 5], 'representative': 60, 'size': 2}
  • id: 110299497
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 29, 'group_order': 450, 'label': '15B4', 'order': 15, 'powers': [39, 12, 5], 'representative': 120, 'size': 2}
  • id: 110299498
    {'aut_label': '15B1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 29, 'group_order': 450, 'label': '15B7', 'order': 15, 'powers': [36, 13, 5], 'representative': 210, 'size': 2}
  • id: 110299500
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 29, 'group_order': 450, 'label': '15C1', 'order': 15, 'powers': [42, 8, 5], 'representative': 156, 'size': 2}
  • id: 110299501
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 29, 'group_order': 450, 'label': '15C-1', 'order': 15, 'powers': [43, 9, 5], 'representative': 174, 'size': 2}
  • id: 110299502
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 29, 'group_order': 450, 'label': '15C2', 'order': 15, 'powers': [41, 10, 5], 'representative': 162, 'size': 2}
  • id: 110299503
    {'aut_label': '15C1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 29, 'group_order': 450, 'label': '15C-2', 'order': 15, 'powers': [40, 11, 5], 'representative': 168, 'size': 2}
  • id: 110299504
    {'aut_label': '15D1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 29, 'group_order': 450, 'label': '15D1', 'order': 15, 'powers': [46, 13, 3], 'representative': 100, 'size': 2}
  • id: 110299505
    {'aut_label': '15D1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 29, 'group_order': 450, 'label': '15D-1', 'order': 15, 'powers': [47, 13, 4], 'representative': 110, 'size': 2}
  • id: 110299506
    {'aut_label': '15D1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 29, 'group_order': 450, 'label': '15D2', 'order': 15, 'powers': [44, 12, 4], 'representative': 200, 'size': 2}
  • id: 110299507
    {'aut_label': '15D1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 29, 'group_order': 450, 'label': '15D-2', 'order': 15, 'powers': [45, 12, 3], 'representative': 190, 'size': 2}
  • id: 110299508
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 29, 'group_order': 450, 'label': '15E1', 'order': 15, 'powers': [50, 14, 5], 'representative': 36, 'size': 2}
  • id: 110299509
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 29, 'group_order': 450, 'label': '15E-1', 'order': 15, 'powers': [51, 15, 5], 'representative': 54, 'size': 2}
  • id: 110299511
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 29, 'group_order': 450, 'label': '15E2', 'order': 15, 'powers': [52, 16, 5], 'representative': 72, 'size': 2}
  • id: 110299512
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 29, 'group_order': 450, 'label': '15E-2', 'order': 15, 'powers': [53, 17, 5], 'representative': 78, 'size': 2}
  • id: 110299513
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 29, 'group_order': 450, 'label': '15E4', 'order': 15, 'powers': [55, 15, 5], 'representative': 144, 'size': 2}
  • id: 110299514
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 29, 'group_order': 450, 'label': '15E-4', 'order': 15, 'powers': [54, 14, 5], 'representative': 126, 'size': 2}
  • id: 110299515
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 29, 'group_order': 450, 'label': '15E7', 'order': 15, 'powers': [49, 16, 5], 'representative': 222, 'size': 2}
  • id: 110299516
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 29, 'group_order': 450, 'label': '15E-7', 'order': 15, 'powers': [48, 17, 5], 'representative': 228, 'size': 2}
  • id: 110299517
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 29, 'group_order': 450, 'label': '15F1', 'order': 15, 'powers': [58, 16, 4], 'representative': 92, 'size': 2}
  • id: 110299518
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 29, 'group_order': 450, 'label': '15F-1', 'order': 15, 'powers': [59, 17, 3], 'representative': 118, 'size': 2}
  • id: 110299519
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 29, 'group_order': 450, 'label': '15F2', 'order': 15, 'powers': [60, 15, 3], 'representative': 184, 'size': 2}
  • id: 110299520
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 29, 'group_order': 450, 'label': '15F-2', 'order': 15, 'powers': [61, 14, 4], 'representative': 206, 'size': 2}
  • id: 110299522
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 29, 'group_order': 450, 'label': '15F4', 'order': 15, 'powers': [63, 17, 4], 'representative': 98, 'size': 2}
  • id: 110299523
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 29, 'group_order': 450, 'label': '15F-4', 'order': 15, 'powers': [62, 16, 3], 'representative': 112, 'size': 2}
  • id: 110299524
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 29, 'group_order': 450, 'label': '15F7', 'order': 15, 'powers': [57, 15, 4], 'representative': 194, 'size': 2}
  • id: 110299525
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 29, 'group_order': 450, 'label': '15F-7', 'order': 15, 'powers': [56, 14, 3], 'representative': 196, 'size': 2}
  • id: 110299526
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 29, 'group_order': 450, 'label': '15G1', 'order': 15, 'powers': [66, 18, 6], 'representative': 32, 'size': 2}
  • id: 110299527
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 29, 'group_order': 450, 'label': '15G-1', 'order': 15, 'powers': [67, 19, 7], 'representative': 58, 'size': 2}
  • id: 110299528
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 29, 'group_order': 450, 'label': '15G2', 'order': 15, 'powers': [68, 20, 7], 'representative': 64, 'size': 2}
  • id: 110299529
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 29, 'group_order': 450, 'label': '15G-2', 'order': 15, 'powers': [69, 21, 6], 'representative': 86, 'size': 2}
  • id: 110299530
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 29, 'group_order': 450, 'label': '15G4', 'order': 15, 'powers': [71, 19, 6], 'representative': 128, 'size': 2}
  • id: 110299531
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 29, 'group_order': 450, 'label': '15G-4', 'order': 15, 'powers': [70, 18, 7], 'representative': 142, 'size': 2}
  • id: 110299533
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 29, 'group_order': 450, 'label': '15G7', 'order': 15, 'powers': [65, 20, 6], 'representative': 224, 'size': 2}
  • id: 110299534
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 29, 'group_order': 450, 'label': '15G-7', 'order': 15, 'powers': [64, 21, 7], 'representative': 226, 'size': 2}
  • id: 110299535
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 29, 'group_order': 450, 'label': '15H1', 'order': 15, 'powers': [74, 21, 5], 'representative': 66, 'size': 2}
  • id: 110299536
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 29, 'group_order': 450, 'label': '15H-1', 'order': 15, 'powers': [75, 20, 5], 'representative': 84, 'size': 2}
  • id: 110299537
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 29, 'group_order': 450, 'label': '15H2', 'order': 15, 'powers': [76, 18, 5], 'representative': 132, 'size': 2}
  • id: 110299538
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 29, 'group_order': 450, 'label': '15H-2', 'order': 15, 'powers': [77, 19, 5], 'representative': 138, 'size': 2}
  • id: 110299539
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 29, 'group_order': 450, 'label': '15H4', 'order': 15, 'powers': [79, 20, 5], 'representative': 234, 'size': 2}
  • id: 110299540
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 29, 'group_order': 450, 'label': '15H-4', 'order': 15, 'powers': [78, 21, 5], 'representative': 216, 'size': 2}
  • id: 110299541
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 29, 'group_order': 450, 'label': '15H7', 'order': 15, 'powers': [73, 18, 5], 'representative': 42, 'size': 2}
  • id: 110299542
    {'aut_label': '15E1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 29, 'group_order': 450, 'label': '15H-7', 'order': 15, 'powers': [72, 19, 5], 'representative': 48, 'size': 2}
  • id: 110299544
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 29, 'group_order': 450, 'label': '15I1', 'order': 15, 'powers': [82, 18, 4], 'representative': 182, 'size': 2}
  • id: 110299545
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 29, 'group_order': 450, 'label': '15I-1', 'order': 15, 'powers': [83, 19, 3], 'representative': 208, 'size': 2}
  • id: 110299546
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 29, 'group_order': 450, 'label': '15I2', 'order': 15, 'powers': [84, 20, 3], 'representative': 94, 'size': 2}
  • id: 110299547
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 29, 'group_order': 450, 'label': '15I-2', 'order': 15, 'powers': [85, 21, 4], 'representative': 116, 'size': 2}
  • id: 110299548
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 29, 'group_order': 450, 'label': '15I4', 'order': 15, 'powers': [87, 19, 4], 'representative': 188, 'size': 2}
  • id: 110299549
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 29, 'group_order': 450, 'label': '15I-4', 'order': 15, 'powers': [86, 18, 3], 'representative': 202, 'size': 2}
  • id: 110299550
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 29, 'group_order': 450, 'label': '15I7', 'order': 15, 'powers': [81, 20, 4], 'representative': 104, 'size': 2}
  • id: 110299551
    {'aut_label': '15F1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 29, 'group_order': 450, 'label': '15I-7', 'order': 15, 'powers': [80, 21, 3], 'representative': 106, 'size': 2}
  • id: 110299552
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 29, 'group_order': 450, 'label': '15J1', 'order': 15, 'powers': [90, 16, 6], 'representative': 62, 'size': 2}
  • id: 110299553
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 29, 'group_order': 450, 'label': '15J-1', 'order': 15, 'powers': [91, 17, 7], 'representative': 88, 'size': 2}
  • id: 110299555
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 29, 'group_order': 450, 'label': '15J2', 'order': 15, 'powers': [92, 15, 7], 'representative': 124, 'size': 2}
  • id: 110299556
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 29, 'group_order': 450, 'label': '15J-2', 'order': 15, 'powers': [93, 14, 6], 'representative': 146, 'size': 2}
  • id: 110299557
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 29, 'group_order': 450, 'label': '15J4', 'order': 15, 'powers': [95, 17, 6], 'representative': 218, 'size': 2}
  • id: 110299558
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 29, 'group_order': 450, 'label': '15J-4', 'order': 15, 'powers': [94, 16, 7], 'representative': 232, 'size': 2}
  • id: 110299559
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 29, 'group_order': 450, 'label': '15J7', 'order': 15, 'powers': [89, 15, 6], 'representative': 44, 'size': 2}
  • id: 110299560
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 29, 'group_order': 450, 'label': '15J-7', 'order': 15, 'powers': [88, 14, 7], 'representative': 46, 'size': 2}
  • id: 110299561
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 29, 'group_order': 450, 'label': '15K1', 'order': 15, 'powers': [98, 15, 7], 'representative': 34, 'size': 2}
  • id: 110299562
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 29, 'group_order': 450, 'label': '15K-1', 'order': 15, 'powers': [99, 14, 6], 'representative': 56, 'size': 2}
  • id: 110299563
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 29, 'group_order': 450, 'label': '15K2', 'order': 15, 'powers': [100, 17, 6], 'representative': 68, 'size': 2}
  • id: 110299564
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 29, 'group_order': 450, 'label': '15K-2', 'order': 15, 'powers': [101, 16, 7], 'representative': 82, 'size': 2}
  • id: 110299432
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 29, 'group_order': 450, 'label': '15K4', 'order': 15, 'powers': [103, 14, 7], 'representative': 136, 'size': 2}
  • id: 110299433
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 29, 'group_order': 450, 'label': '15K-4', 'order': 15, 'powers': [102, 15, 6], 'representative': 134, 'size': 2}
  • id: 110299434
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 29, 'group_order': 450, 'label': '15K7', 'order': 15, 'powers': [97, 17, 7], 'representative': 238, 'size': 2}
  • id: 110299435
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 29, 'group_order': 450, 'label': '15K-7', 'order': 15, 'powers': [96, 16, 6], 'representative': 212, 'size': 2}
  • id: 110299436
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 29, 'group_order': 450, 'label': '15L1', 'order': 15, 'powers': [106, 18, 6], 'representative': 122, 'size': 2}
  • id: 110299437
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 29, 'group_order': 450, 'label': '15L-1', 'order': 15, 'powers': [107, 19, 7], 'representative': 148, 'size': 2}
  • id: 110299438
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 29, 'group_order': 450, 'label': '15L2', 'order': 15, 'powers': [108, 20, 7], 'representative': 214, 'size': 2}
  • id: 110299439
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 29, 'group_order': 450, 'label': '15L-2', 'order': 15, 'powers': [109, 21, 6], 'representative': 236, 'size': 2}
  • id: 110299440
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 29, 'group_order': 450, 'label': '15L4', 'order': 15, 'powers': [111, 19, 6], 'representative': 38, 'size': 2}
  • id: 110299441
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 29, 'group_order': 450, 'label': '15L-4', 'order': 15, 'powers': [110, 18, 7], 'representative': 52, 'size': 2}
  • id: 110299443
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 29, 'group_order': 450, 'label': '15L7', 'order': 15, 'powers': [105, 20, 6], 'representative': 74, 'size': 2}
  • id: 110299444
    {'aut_label': '15G1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 29, 'group_order': 450, 'label': '15L-7', 'order': 15, 'powers': [104, 21, 7], 'representative': 76, 'size': 2}
  • id: 110299445
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 29, 'group_order': 450, 'label': '15M1', 'order': 15, 'powers': [114, 10, 6], 'representative': 152, 'size': 2}
  • id: 110299446
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 29, 'group_order': 450, 'label': '15M-1', 'order': 15, 'powers': [115, 11, 7], 'representative': 178, 'size': 2}
  • id: 110299447
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 29, 'group_order': 450, 'label': '15M2', 'order': 15, 'powers': [116, 9, 7], 'representative': 154, 'size': 2}
  • id: 110299448
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 29, 'group_order': 450, 'label': '15M-2', 'order': 15, 'powers': [117, 8, 6], 'representative': 176, 'size': 2}
  • id: 110299449
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 29, 'group_order': 450, 'label': '15M4', 'order': 15, 'powers': [119, 11, 6], 'representative': 158, 'size': 2}
  • id: 110299450
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 29, 'group_order': 450, 'label': '15M-4', 'order': 15, 'powers': [118, 10, 7], 'representative': 172, 'size': 2}
  • id: 110299451
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 29, 'group_order': 450, 'label': '15M7', 'order': 15, 'powers': [113, 9, 6], 'representative': 164, 'size': 2}
  • id: 110299452
    {'aut_label': '15M1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 29, 'group_order': 450, 'label': '15M-7', 'order': 15, 'powers': [112, 8, 7], 'representative': 166, 'size': 2}
  • id: 110299454
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 29, 'group_order': 450, 'label': '15N1', 'order': 15, 'powers': [122, 12, 7], 'representative': 40, 'size': 2}
  • id: 110299455
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 29, 'group_order': 450, 'label': '15N-1', 'order': 15, 'powers': [123, 12, 6], 'representative': 50, 'size': 2}
  • id: 110299456
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 29, 'group_order': 450, 'label': '15N2', 'order': 15, 'powers': [124, 13, 6], 'representative': 80, 'size': 2}
  • id: 110299457
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 29, 'group_order': 450, 'label': '15N-2', 'order': 15, 'powers': [125, 13, 7], 'representative': 70, 'size': 2}
  • id: 110299458
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 29, 'group_order': 450, 'label': '15N4', 'order': 15, 'powers': [127, 12, 7], 'representative': 130, 'size': 2}
  • id: 110299459
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 29, 'group_order': 450, 'label': '15N-4', 'order': 15, 'powers': [126, 12, 6], 'representative': 140, 'size': 2}
  • id: 110299460
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 29, 'group_order': 450, 'label': '15N7', 'order': 15, 'powers': [121, 13, 7], 'representative': 220, 'size': 2}
  • id: 110299461
    {'aut_label': '15N1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 29, 'group_order': 450, 'label': '15N-7', 'order': 15, 'powers': [120, 13, 6], 'representative': 230, 'size': 2}
  • id: 110299462
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 128, 'group_counter': 29, 'group_order': 450, 'label': '30A1', 'order': 30, 'powers': [28, 24, 22], 'representative': 1, 'size': 15}
  • id: 110299463
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 129, 'group_counter': 29, 'group_order': 450, 'label': '30A-1', 'order': 30, 'powers': [29, 25, 23], 'representative': 29, 'size': 15}
  • id: 110299465
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 130, 'group_counter': 29, 'group_order': 450, 'label': '30A7', 'order': 30, 'powers': [34, 27, 22], 'representative': 7, 'size': 15}
  • id: 110299466
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 131, 'group_counter': 29, 'group_order': 450, 'label': '30A-7', 'order': 30, 'powers': [35, 26, 23], 'representative': 23, 'size': 15}
  • id: 110299467
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 132, 'group_counter': 29, 'group_order': 450, 'label': '30A11', 'order': 30, 'powers': [33, 24, 23], 'representative': 11, 'size': 15}
  • id: 110299468
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 133, 'group_counter': 29, 'group_order': 450, 'label': '30A-11', 'order': 30, 'powers': [32, 25, 22], 'representative': 19, 'size': 15}
  • id: 110299469
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 134, 'group_counter': 29, 'group_order': 450, 'label': '30A13', 'order': 30, 'powers': [31, 26, 22], 'representative': 13, 'size': 15}
  • id: 110299470
    {'aut_label': '30A1', 'centralizer': '15.b1.a1', 'counter': 135, 'group_counter': 29, 'group_order': 450, 'label': '30A-13', 'order': 30, 'powers': [30, 27, 23], 'representative': 17, 'size': 15}
• 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: 4578176
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1a', '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], 'schur_index': 1}
  • id: 4578187
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1b', '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], 'schur_index': 1}
  • id: 4578195
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4578196
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1d', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4578201
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 0, 2, 2, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578197
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1e', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4578198
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1f', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -4, -4, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4578177
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2b', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578178
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2c', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 0, -2, -2, -2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, -2, -2, -2, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, 1, -2, -2, 1, -2, -2, 1, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578199
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1g', 'multiplicity': 8, 'nt': [15, 1], 'qdim': 8, 'qvalues': [8, 8, -4, -4, 8, -4, -4, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, -2, -2, -4, -4, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 8, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, -4, 1, 1, -2, 1, 1, -4, 1, -4, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, -2, -4, 1, 1, -4, 1, 1, 1, -4, -4, 1, 1, -4, -4, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -4, -4, 1, 1, 1, 8, -2, -2, -2, 1, -2, 8, 1, 1, 1, 1, -2, -4, 8, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4578200
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.1h', 'multiplicity': 8, 'nt': [30, 1], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 8, -4, -4, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, -2, -2, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 8, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, -4, 1, 1, -2, 1, 1, -4, 1, -4, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, -2, -4, 1, 1, -4, 1, 1, 1, -4, -4, 1, 1, -4, -4, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -4, -4, 1, 1, 1, 8, -2, -2, -2, 1, -2, 8, 1, 1, 1, 1, -2, -4, 8, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4578179
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2d', 'multiplicity': 4, 'nt': [10, 6], 'qdim': 8, 'qvalues': [8, 0, 8, 8, 8, 8, 8, -2, -2, -2, -2, -2, 3, -2, -2, 3, 3, 3, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, -2, -2, 3, 3, -2, -2, -2, -2, 3, -2, -2, 3, 3, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, 3, -2, -2, 3, -2, -2, 3, 3, -2, 3, 3, 3, 3, -2, -2, -2, -2, 3, -2, -2, -2, -2, 3, 3, -2, -2, -2, -2, 3, -2, -2, 3, 3, -2, -2, -2, 3, 3, 3, -2, -2, -2, 3, 3, -2, -2, -2, -2, 3, 3, -2, 3, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578180
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2e', 'multiplicity': 4, 'nt': [10, 6], 'qdim': 8, 'qvalues': [8, 0, 8, 8, 8, 8, 8, -2, -2, -2, -2, 3, -2, 3, -2, -2, -2, -2, -2, 3, 3, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, 3, 3, 3, -2, -2, 3, 3, -2, -2, 3, 3, -2, 3, 3, -2, 3, 3, -2, -2, -2, -2, -2, 3, 3, -2, 3, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, 3, -2, -2, 3, 3, -2, -2, -2, -2, -2, -2, 3, -2, -2, 3, 3, -2, -2, 3, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, -2, 3, -2, -2, -2, -2, 3, 3, 3, 3, -2, -2, 3, 3, -2, 3, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578181
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2f', 'multiplicity': 4, 'nt': [15, 2], 'qdim': 8, 'qvalues': [8, 0, 8, 8, -4, -4, -4, 8, 8, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -4, 1, 1, -4, -2, -2, -2, 1, -2, -2, -2, -2, -2, -2, -2, 1, -2, -2, -2, -2, 1, 1, -4, 1, 1, 1, 1, 1, 1, -4, -4, 1, 1, 1, -4, -4, -4, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, -4, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578182
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2g', 'multiplicity': 4, 'nt': [15, 3], 'qdim': 8, 'qvalues': [8, 0, -4, -4, 8, -4, -4, 8, 8, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -2, 1, 1, -2, 8, -2, 1, 1, 1, 1, -4, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, -2, 1, 8, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, 1, -2, -2, 1, -2, 1, -4, -4, -2, 1, -2, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, 1, -2, -2, -4, 1, 1, 1, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578183
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2h', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 0, 8, 8, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, 1, -2, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, -2, -2, 1, 8, -2, -2, 8, -2, -2, -2, -4, 8, -2, -2, 8, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, -4, 1, -2, -2, -4, 1, 1, 1, 1, 1, -4, 1, -2, -2, 1, 1, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578184
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2i', 'multiplicity': 8, 'nt': [30, 15], 'qdim': 16, 'qvalues': [16, 0, -8, -8, -8, 4, 4, -4, -4, -4, -4, -4, -4, -4, 16, -4, -4, -4, 16, -4, -4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -8, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 4, -1, 2, 2, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, 2, 2, -8, 2, 2, -8, 2, 2, 2, 4, -8, 2, 2, -8, 4, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 4, 4, -1, 2, 2, -8, 2, 2, 2, -1, 2, -8, -1, 2, 2, -1, 2, 4, -8, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578185
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2j', 'multiplicity': 8, 'nt': [30, 16], 'qdim': 16, 'qvalues': [16, 0, -8, -8, -8, 4, 4, 16, 16, 16, 16, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 2, -1, -1, 2, -8, 2, -1, -1, -1, -1, 4, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -8, 2, -1, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, -1, -1, 4, -1, 2, 2, -1, 2, -1, 4, 4, 2, -1, 2, 4, 4, 4, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, 2, 2, 4, 2, 2, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578186
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2k', 'multiplicity': 8, 'nt': [30, 36], 'qdim': 16, 'qvalues': [16, 0, 16, 16, -8, -8, -8, -4, -4, -4, -4, -4, 6, -4, -4, 6, 6, 6, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -3, 2, -3, 2, 2, -3, -3, 2, 2, 2, 2, -3, 2, 2, -3, -3, 2, 2, 2, 2, -4, 2, 2, 2, 2, -3, 2, -3, -3, 2, 2, -3, -4, 2, -3, -3, 2, 6, 6, 6, -3, -4, -4, -4, -4, 6, -4, -4, 2, -4, 6, 6, -4, 2, 2, 2, -3, 2, 2, -3, -3, 2, 2, 2, -3, -3, -3, 2, 2, 2, -3, -3, 2, 2, 2, 2, 6, 6, 2, -3, 2, 2, 2, 2, 2, 2, -4, -4, -3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578188
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2l', 'multiplicity': 8, 'nt': [30, 36], 'qdim': 16, 'qvalues': [16, 0, 16, 16, -8, -8, -8, -4, -4, -4, -4, 6, -4, 6, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 2, -3, 2, 2, 2, 2, 2, -3, -3, -3, 2, 2, -3, -3, 2, 2, -3, -3, 2, -3, 6, 2, -3, -3, 2, 2, 2, 2, 2, -3, -3, 2, 6, 2, 2, 2, 2, -4, -4, -4, 2, -4, 6, 6, -4, -4, 6, 6, 2, -4, -4, -4, -4, 2, -3, 2, 2, -3, -3, 2, 2, -3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -3, 2, 2, -3, -4, -4, 2, 2, -3, -3, -3, -3, 2, 2, 6, 6, 2, -3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578189
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2m', 'multiplicity': 8, 'nt': [30, 39], 'qdim': 16, 'qvalues': [16, 0, -8, -8, 16, -8, -8, -4, -4, -4, -4, -4, 6, -4, -4, 6, 6, 6, -4, -4, -4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, -3, -4, -4, 6, -3, 2, 2, 2, 2, -3, 2, -4, -3, -3, 2, -4, 2, 2, 2, -4, 2, 2, 2, -3, 2, -3, -3, 2, 2, -3, 2, -4, 6, -3, -4, -3, -3, -3, 6, 2, 2, 2, 2, -3, 2, 2, 2, 2, -3, -3, 2, 2, 2, 2, -3, -4, -4, -3, 6, 2, 2, 2, 6, -3, 6, 2, 2, 2, -3, -3, 2, 2, 2, 2, -3, -3, -4, 6, -4, -4, 2, -4, -4, 2, 2, 2, -3, -4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578190
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2n', 'multiplicity': 8, 'nt': [30, 39], 'qdim': 16, 'qvalues': [16, 0, -8, -8, 16, -8, -8, -4, -4, -4, -4, 6, -4, 6, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -4, -3, 2, -4, -4, -4, 2, -3, -3, -3, 2, 2, -3, 6, 2, 2, -3, 6, 2, -3, -3, -4, -3, -3, 2, 2, 2, 2, 2, -3, -3, 2, -3, -4, -4, 2, -4, 2, 2, 2, -4, 2, -3, -3, 2, 2, -3, -3, 2, 2, 2, 2, 2, 2, -3, 2, 2, 6, 6, 2, -4, -3, 2, 2, -4, 2, -4, 2, 2, 2, 2, 2, -3, 2, 2, -3, 2, 2, -4, -4, 6, 6, -3, 6, -4, 2, -3, -3, 2, 6, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578191
    {'cdim': 2, 'counter': 23, 'faithful': True, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2o', 'multiplicity': 8, 'nt': [30, 104], 'qdim': 16, 'qvalues': [16, 0, -8, -8, -8, 4, 4, -4, -4, -4, -4, -4, 6, -4, -4, 6, 6, 6, -4, -4, -4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -3, -1, -6, 2, 2, -3, -6, -1, -1, -1, -1, -6, -1, 2, 9, -6, -1, 2, -1, -1, 2, 2, -1, -1, -1, -6, -1, -6, 9, -1, -1, -6, 2, 2, -3, 9, 2, -3, -3, -3, -3, 2, 2, 2, 2, -3, 2, 2, -1, 2, -3, -3, 2, -1, -1, -1, 9, 2, 2, 9, -3, -1, -1, -1, -3, 9, -3, -1, -1, -1, -6, 9, -1, -1, -1, -1, -3, -3, 2, -3, 2, 2, -1, 2, 2, -1, 2, 2, 9, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578192
    {'cdim': 2, 'counter': 24, 'faithful': True, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2p', 'multiplicity': 8, 'nt': [30, 104], 'qdim': 16, 'qvalues': [16, 0, -8, -8, -8, 4, 4, -4, -4, -4, -4, -4, 6, -4, -4, 6, 6, 6, -4, -4, -4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -3, -1, 9, 2, 2, -3, 9, -1, -1, -1, -1, 9, -1, 2, -6, 9, -1, 2, -1, -1, 2, 2, -1, -1, -1, 9, -1, 9, -6, -1, -1, 9, 2, 2, -3, -6, 2, -3, -3, -3, -3, 2, 2, 2, 2, -3, 2, 2, -1, 2, -3, -3, 2, -1, -1, -1, -6, 2, 2, -6, -3, -1, -1, -1, -3, -6, -3, -1, -1, -1, 9, -6, -1, -1, -1, -1, -3, -3, 2, -3, 2, 2, -1, 2, 2, -1, 2, 2, -6, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578193
    {'cdim': 2, 'counter': 25, 'faithful': True, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2q', 'multiplicity': 8, 'nt': [30, 104], 'qdim': 16, 'qvalues': [16, 0, -8, -8, -8, 4, 4, -4, -4, -4, -4, 6, -4, 6, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, -6, -1, 2, 2, 2, -1, 9, -6, -6, -1, -1, 9, -3, -1, -1, -6, -3, -1, 9, -3, 2, -6, 9, -1, -1, -1, -1, -1, -6, -6, -1, -3, 2, 2, -1, 2, 2, 2, 2, 2, 2, -3, -3, 2, 2, -3, -3, -1, 2, 2, 2, 2, -1, 9, -1, -1, -3, -3, -1, 2, 9, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 9, -1, -1, -6, 2, 2, 2, 2, -3, -3, 9, -3, 2, -1, -3, -3, -1, -3, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4578194
    {'cdim': 2, 'counter': 26, 'faithful': True, 'group': '450.29', 'group_order': 450, 'image': None, 'label': '450.29.2r', 'multiplicity': 8, 'nt': [30, 104], 'qdim': 16, 'qvalues': [16, 0, -8, -8, -8, 4, 4, -4, -4, -4, -4, 6, -4, 6, -4, -4, -4, -4, -4, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, -1, 2, 2, 2, -1, -6, 9, 9, -1, -1, -6, -3, -1, -1, 9, -3, -1, -6, -3, 2, 9, -6, -1, -1, -1, -1, -1, 9, 9, -1, -3, 2, 2, -1, 2, 2, 2, 2, 2, 2, -3, -3, 2, 2, -3, -3, -1, 2, 2, 2, 2, -1, -6, -1, -1, -3, -3, -1, 2, -6, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -6, -1, -1, 9, 2, 2, 2, 2, -3, -3, -6, -3, 2, -1, -3, -3, -1, -3, -1, 2, 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: 7206889
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 450, 'label': '450.29.1a', '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]]]}
  • id: 7206936
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 225, 'label': '450.29.1b', '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]]]}
  • id: 7206947
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 3, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 150, 'label': '450.29.1c1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[1, 1]], [[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, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 7206958
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 4, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 150, 'label': '450.29.1c2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[1, -1]], [[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, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 7206969
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 75, 'label': '450.29.1d1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[-1, 1]], [[-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, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 7206980
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 75, 'label': '450.29.1d2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[-1, -1]], [[-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, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 7206991
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 7, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 90, 'label': '450.29.1e1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]]]}
  • id: 7207002
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 8, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 90, 'label': '450.29.1e2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]]]}
  • id: 7207013
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 90, 'label': '450.29.1e3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]]]}
  • id: 7206890
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 90, 'label': '450.29.1e4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]]]}
  • id: 7206901
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 45, 'label': '450.29.1f1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]]]}
  • id: 7206912
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 45, 'label': '450.29.1f2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]]]}
  • id: 7206923
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 13, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 45, 'label': '450.29.1f3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]]]}
  • id: 7206930
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 14, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 45, 'label': '450.29.1f4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]]]}
  • id: 7206931
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 15, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g1', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -6]], [[1, -5]], [[1, 5]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, -6]], [[1, 4]], [[1, -2]], [[1, 0]], [[1, 6]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -7]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, 6]], [[1, 5]], [[1, -1]], [[1, -7]], [[1, -3]], [[1, 2]], [[1, 7]], [[1, 5]], [[1, -7]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -6]], [[1, 1]], [[1, 2]], [[1, 7]], [[1, 3]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, 2]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -6]], [[1, 4]], [[1, 2]], [[1, 7]], [[1, 3]], [[1, -7]], [[1, 6]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, -1]], [[1, -7]], [[1, -2]], [[1, 0]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, -7]], [[1, -6]], [[1, 0]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -5]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -1]], [[1, -7]]]}
  • id: 7206932
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 16, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g2', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 0]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 6]], [[1, 5]], [[1, -5]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, 6]], [[1, -4]], [[1, 2]], [[1, 0]], [[1, -6]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 7]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, 3]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, -6]], [[1, -5]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, -2]], [[1, -7]], [[1, -5]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 6]], [[1, -1]], [[1, -2]], [[1, -7]], [[1, -3]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, -2]], [[1, -7]], [[1, -5]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 6]], [[1, -4]], [[1, -2]], [[1, -7]], [[1, -3]], [[1, 7]], [[1, -6]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, 1]], [[1, 7]], [[1, 2]], [[1, 0]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, 7]], [[1, 6]], [[1, 0]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 5]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 1]], [[1, 7]]]}
  • id: 7206933
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 17, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g3', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 0]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 6]], [[1, -5]], [[1, 5]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 6]], [[1, 1]], [[1, 7]], [[1, 0]], [[1, -6]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -7]], [[1, 3]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -6]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, -7]], [[1, -2]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, 7]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 6]], [[1, 4]], [[1, -7]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, -7]], [[1, -2]], [[1, 5]], [[1, 5]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, -5]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, 4]], [[1, 6]], [[1, 1]], [[1, -7]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, -6]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 7]], [[1, 0]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 0]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, -5]], [[1, 0]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -4]], [[1, 2]]]}
  • id: 7206934
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 18, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g4', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -6]], [[1, 5]], [[1, -5]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -6]], [[1, -1]], [[1, -7]], [[1, 0]], [[1, 6]], [[1, -3]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 7]], [[1, -3]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 6]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, 7]], [[1, 2]], [[1, -5]], [[1, -2]], [[1, 5]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, -7]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -6]], [[1, -4]], [[1, 7]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, 7]], [[1, 2]], [[1, -5]], [[1, -5]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, -4]], [[1, -6]], [[1, -1]], [[1, 7]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, 6]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -7]], [[1, 0]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, -2]], [[1, -6]], [[1, 0]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -7]], [[1, -3]], [[1, 5]], [[1, 0]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 4]], [[1, -2]]]}
  • id: 7206935
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 19, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g5', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 0]], [[1, -6]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -2]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, -3]], [[1, 7]], [[1, 4]], [[1, 0]], [[1, 3]], [[1, 6]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, 6]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 6]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, -6]], [[1, 6]], [[1, 7]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, -6]], [[1, 5]], [[1, -7]], [[1, 2]], [[1, -5]], [[1, 7]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, 2]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -6]], [[1, -6]], [[1, -2]], [[1, -3]], [[1, 7]], [[1, -4]], [[1, 1]], [[1, -6]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 7]], [[1, -2]], [[1, 7]], [[1, 4]], [[1, 6]], [[1, -5]], [[1, 0]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -1]]]}
  • id: 7206937
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 20, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g6', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 0]], [[1, 6]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 2]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, 3]], [[1, -7]], [[1, -4]], [[1, 0]], [[1, -3]], [[1, -6]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, -6]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -6]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 6]], [[1, -6]], [[1, -7]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, 6]], [[1, -5]], [[1, 7]], [[1, -2]], [[1, 5]], [[1, -7]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, -2]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 3]], [[1, -7]], [[1, 4]], [[1, -1]], [[1, 6]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -7]], [[1, 2]], [[1, -7]], [[1, -4]], [[1, -6]], [[1, 5]], [[1, 0]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 1]]]}
  • id: 7206938
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 21, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g7', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 0]], [[1, 6]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 7]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -6]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -6]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, -6]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 1]], [[1, 6]], [[1, -6]], [[1, -2]], [[1, 3]], [[1, 7]], [[1, -1]], [[1, 4]], [[1, 6]], [[1, 5]], [[1, 2]], [[1, -7]], [[1, -5]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, -7]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, 6]], [[1, 6]], [[1, 7]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, 6]], [[1, -4]], [[1, -3]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, 7]], [[1, -2]], [[1, 1]], [[1, -6]], [[1, -5]], [[1, 0]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -7]], [[1, -4]]]}
  • id: 7206939
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 22, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 30, 'label': '450.29.1g8', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 0]], [[1, -6]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -7]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, 6]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 6]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, 6]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, -1]], [[1, -6]], [[1, 6]], [[1, 2]], [[1, -3]], [[1, -7]], [[1, 1]], [[1, -4]], [[1, -6]], [[1, -5]], [[1, -2]], [[1, 7]], [[1, 5]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, -6]], [[1, -6]], [[1, -7]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, -6]], [[1, 4]], [[1, 3]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, -7]], [[1, 2]], [[1, -1]], [[1, 6]], [[1, 5]], [[1, 0]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 7]], [[1, 4]]]}
  • id: 7206940
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 23, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h1', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -6]], [[-1, -5]], [[-1, 5]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, -6]], [[1, 4]], [[1, -2]], [[1, 0]], [[1, 6]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -7]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, 6]], [[1, 5]], [[1, -1]], [[1, -7]], [[1, -3]], [[1, 2]], [[1, 7]], [[1, 5]], [[1, -7]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -6]], [[1, 1]], [[1, 2]], [[1, 7]], [[1, 3]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, 2]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -6]], [[1, 4]], [[1, 2]], [[1, 7]], [[1, 3]], [[1, -7]], [[1, 6]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, -1]], [[1, -7]], [[1, -2]], [[1, 0]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, -7]], [[1, -6]], [[1, 0]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -5]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 7]], [[-1, -1]], [[-1, -7]]]}
  • id: 7206941
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 24, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h2', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 0]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 6]], [[-1, 5]], [[-1, -5]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, 6]], [[1, -4]], [[1, 2]], [[1, 0]], [[1, -6]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 7]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, 3]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, -6]], [[1, -5]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, -2]], [[1, -7]], [[1, -5]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 6]], [[1, -1]], [[1, -2]], [[1, -7]], [[1, -3]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, -2]], [[1, -7]], [[1, -5]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 6]], [[1, -4]], [[1, -2]], [[1, -7]], [[1, -3]], [[1, 7]], [[1, -6]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, 1]], [[1, 7]], [[1, 2]], [[1, 0]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, 7]], [[1, 6]], [[1, 0]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 5]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -7]], [[-1, 1]], [[-1, 7]]]}
  • id: 7206942
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 25, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h3', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 0]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, 6]], [[-1, -5]], [[-1, 5]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 6]], [[1, 1]], [[1, 7]], [[1, 0]], [[1, -6]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -7]], [[1, 3]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -6]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, -7]], [[1, -2]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, 7]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 6]], [[1, 4]], [[1, -7]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, -7]], [[1, -2]], [[1, 5]], [[1, 5]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, -5]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, 4]], [[1, 6]], [[1, 1]], [[1, -7]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, -6]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, 7]], [[1, 0]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 0]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 7]], [[1, 3]], [[1, -5]], [[1, 0]], [[-1, 4]], [[-1, -7]], [[-1, -1]], [[-1, 1]], [[-1, 7]], [[-1, -2]], [[-1, -4]], [[-1, 2]]]}
  • id: 7206943
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 26, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h4', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, 0]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, -6]], [[-1, 5]], [[-1, -5]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -6]], [[1, -1]], [[1, -7]], [[1, 0]], [[1, 6]], [[1, -3]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 7]], [[1, -3]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 6]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, 7]], [[1, 2]], [[1, -5]], [[1, -2]], [[1, 5]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, -7]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -6]], [[1, -4]], [[1, 7]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, 7]], [[1, 2]], [[1, -5]], [[1, -5]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, -4]], [[1, -6]], [[1, -1]], [[1, 7]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, 6]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, -7]], [[1, 0]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, -2]], [[1, -6]], [[1, 0]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -7]], [[1, -3]], [[1, 5]], [[1, 0]], [[-1, -4]], [[-1, 7]], [[-1, 1]], [[-1, -1]], [[-1, -7]], [[-1, 2]], [[-1, 4]], [[-1, -2]]]}
  • id: 7206944
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 27, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h5', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 0]], [[1, -6]], [[1, -3]], [[-1, -5]], [[-1, 5]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[1, -2]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, -3]], [[1, 7]], [[1, 4]], [[1, 0]], [[1, 3]], [[1, 6]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, 6]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 6]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, -6]], [[1, 6]], [[1, 7]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, -6]], [[1, 5]], [[1, -7]], [[1, 2]], [[1, -5]], [[1, 7]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, 2]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -6]], [[1, -6]], [[1, -2]], [[1, -3]], [[1, 7]], [[1, -4]], [[1, 1]], [[1, -6]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 7]], [[1, -2]], [[1, 7]], [[1, 4]], [[1, 6]], [[1, -5]], [[1, 0]], [[-1, -2]], [[-1, -4]], [[-1, -7]], [[-1, 7]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -1]]]}
  • id: 7206945
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 28, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h6', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 0]], [[1, 6]], [[1, 3]], [[-1, 5]], [[-1, -5]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[1, 2]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, 3]], [[1, -7]], [[1, -4]], [[1, 0]], [[1, -3]], [[1, -6]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, -6]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -6]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 6]], [[1, -6]], [[1, -7]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, 6]], [[1, -5]], [[1, 7]], [[1, -2]], [[1, 5]], [[1, -7]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, -2]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 3]], [[1, -7]], [[1, 4]], [[1, -1]], [[1, 6]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -7]], [[1, 2]], [[1, -7]], [[1, -4]], [[1, -6]], [[1, 5]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[-1, 7]], [[-1, -7]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 1]]]}
  • id: 7206946
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 29, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h7', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 0]], [[1, 6]], [[1, 3]], [[-1, -5]], [[-1, 5]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[1, 7]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -6]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -6]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, -6]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 1]], [[1, 6]], [[1, -6]], [[1, -2]], [[1, 3]], [[1, 7]], [[1, -1]], [[1, 4]], [[1, 6]], [[1, 5]], [[1, 2]], [[1, -7]], [[1, -5]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, -7]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, 6]], [[1, 6]], [[1, 7]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, 6]], [[1, -4]], [[1, -3]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, -7]], [[1, -4]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, 7]], [[1, -2]], [[1, 1]], [[1, -6]], [[1, -5]], [[1, 0]], [[-1, 7]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -7]], [[-1, -4]]]}
  • id: 7206948
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 450, 'counter': 30, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.d1.a1', 'kernel_order': 15, 'label': '450.29.1h8', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 0]], [[1, -6]], [[1, -3]], [[-1, 5]], [[-1, -5]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[1, -7]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, 6]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 6]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, 6]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, -1]], [[1, -6]], [[1, 6]], [[1, 2]], [[1, -3]], [[1, -7]], [[1, 1]], [[1, -4]], [[1, -6]], [[1, -5]], [[1, -2]], [[1, 7]], [[1, 5]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, -6]], [[1, -6]], [[1, -7]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, -6]], [[1, 4]], [[1, 3]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, 7]], [[1, 4]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, -7]], [[1, 2]], [[1, -1]], [[1, 6]], [[1, 5]], [[1, 0]], [[-1, -7]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 7]], [[-1, 4]]]}
  • id: 7206949
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 31, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 75, 'label': '450.29.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206950
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 32, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 45, 'label': '450.29.2b1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206951
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 33, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 45, 'label': '450.29.2b2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206952
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 34, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 25, 'label': '450.29.2c1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206953
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 35, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1.a1', 'kernel_order': 25, 'label': '450.29.2c2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206954
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 36, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2d1', 'nt': [10, 6], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 1], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -1]], [[2, 1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 2]], [[1, 2], [1, -2]], [[2, 2]], [[1, 0], [1, -2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[2, 1]], [[1, 0], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[2, -1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[2, 1]], [[1, 0], [1, -2]], [[1, 0], [1, 1]], [[2, -2]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[2, 2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, -2]], [[2, -1]], [[2, -1]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[1, 0], [1, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[2, -2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206955
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 37, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2d2', 'nt': [10, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 1]], [[2, -1]], [[1, 0], [1, -1]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 2], [1, -2]], [[2, -2]], [[1, 0], [1, 2]], [[1, 0], [1, -1]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[2, -1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[2, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 1]], [[1, 1], [1, 2]], [[2, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -1]], [[2, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[2, -2]], [[1, 0], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[1, 1], [1, -2]], [[2, 1]], [[2, 1]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[2, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206956
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 38, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2d3', 'nt': [10, 6], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[1, 1], [1, -2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -1]], [[1, 0], [1, 1]], [[1, 0], [1, -2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 1], [1, -1]], [[2, 1]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[2, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[2, 2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 1]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[2, -2]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[2, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[2, 1]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[2, 2]], [[2, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[2, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206957
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 39, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2d4', 'nt': [10, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 0], [1, -1]], [[1, 0], [1, 2]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -2]], [[2, 2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -1]], [[1, 1], [1, -1]], [[2, -1]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[2, 2]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -2]], [[2, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[2, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[2, 1]], [[1, 0], [1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[2, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[2, -2]], [[2, -2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[2, 1]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206959
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 40, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2e1', 'nt': [10, 6], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -1]], [[2, 1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -1]], [[2, 2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[2, 1]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[2, -1]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, -1]], [[1, 1], [1, -2]], [[1, 0], [1, 2]], [[2, 1]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[2, -2]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[2, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 1]], [[2, -1]], [[2, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -2]], [[2, -2]], [[2, 2]], [[2, 1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[2, -2]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206960
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 41, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2e2', 'nt': [10, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 1]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 1]], [[2, -1]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[2, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[2, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[2, 1]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, -2]], [[2, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -2]], [[2, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[2, -2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[2, 1]], [[2, 1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[2, 2]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[1, 1], [1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206961
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 42, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2e3', 'nt': [10, 6], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[1, 0], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 2]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 1]], [[1, 0], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 2], [1, -2]], [[2, 1]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[2, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, 1]], [[2, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 1]], [[2, -2]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[2, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[2, 1]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[2, 2]], [[2, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[1, 0], [1, 1]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[2, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206962
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 43, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '50.3', 'image_order': 50, 'indicator': 0, 'kernel': '50.a1.a1', 'kernel_order': 9, 'label': '450.29.2e4', 'nt': [10, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[1, 0], [1, 1]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, -1]], [[1, 0], [1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -2]], [[2, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 2], [1, -2]], [[2, -1]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, 1]], [[1, 0], [1, -1]], [[2, 2]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -1]], [[2, -2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 1], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[2, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2]], [[2, 1]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[2, -1]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 2]], [[1, 0], [1, 2]], [[2, -2]], [[2, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[2, 1]], [[2, -1]], [[2, 2]], [[-1, 0], [-1, 1], [-1, -2]], [[-1, 0], [-1, 1], [-1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 1], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[2, 1]], [[1, 0], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206963
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 44, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 4, -4, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.3', 'image_order': 30, 'indicator': 1, 'kernel': '30.a1.a1', 'kernel_order': 15, 'label': '450.29.2f1', 'nt': [15, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[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]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[-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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206964
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 45, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 4, -4, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.3', 'image_order': 30, 'indicator': 1, 'kernel': '30.a1.a1', 'kernel_order': 15, 'label': '450.29.2f2', 'nt': [15, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206965
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 46, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 4, -4, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.3', 'image_order': 30, 'indicator': 1, 'kernel': '30.a1.a1', 'kernel_order': 15, 'label': '450.29.2f3', 'nt': [15, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[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]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206966
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 47, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 4, -4, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.3', 'image_order': 30, 'indicator': 1, 'kernel': '30.a1.a1', 'kernel_order': 15, 'label': '450.29.2f4', 'nt': [15, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206967
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 48, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.c1.a1', 'kernel_order': 15, 'label': '450.29.2g1', 'nt': [15, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[2, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, 4]], [[2, 0]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[2, -5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, 4]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[2, 5]], [[2, -5]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[2, 5]], [[2, 5]], [[2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206968
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 49, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.c1.a1', 'kernel_order': 15, 'label': '450.29.2g2', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[2, 0]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[2, -5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[2, 0]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[2, 0]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[2, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 5]], [[1, 1], [1, 4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, -5]], [[2, 5]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[2, -5]], [[2, -5]], [[2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206970
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 50, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.c1.a1', 'kernel_order': 15, 'label': '450.29.2g3', 'nt': [15, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[1, 3], [1, -3]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[2, 0]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[2, 0]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[2, 0]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[2, -5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [1, 4]], [[2, 5]], [[2, -5]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[2, 5]], [[2, 5]], [[2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[2, -5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206971
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 51, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.c1.a1', 'kernel_order': 15, 'label': '450.29.2g4', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 6], [1, -6]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[2, 0]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 6], [1, -6]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[2, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[2, -5]], [[2, 5]], [[1, 6], [1, -6]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[2, -5]], [[2, -5]], [[2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206972
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 52, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 15, 'label': '450.29.2h1', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 2]], [[2, 2]], [[2, 0]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -1]], [[2, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[2, 2]], [[2, -1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[2, 2]], [[2, -2]], [[2, 0]], [[2, -2]], [[2, -1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[2, 2]], [[2, -2]], [[2, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[2, 2]], [[2, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206973
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 53, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 15, 'label': '450.29.2h2', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -2]], [[2, -2]], [[2, 0]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 1]], [[2, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[2, -2]], [[2, 1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[2, -2]], [[2, 2]], [[2, 0]], [[2, 2]], [[2, 1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[2, -2]], [[2, 2]], [[2, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[2, -2]], [[2, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206974
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 54, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 15, 'label': '450.29.2h3', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 0]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[2, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[2, 2]], [[2, 2]], [[-1, -2]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 2]], [[2, 2]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, -2]], [[2, -2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206975
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 55, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '30.1', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 15, 'label': '450.29.2h4', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, -2]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, 0]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -2]], [[2, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[2, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[2, -2]], [[2, -2]], [[-1, 2]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -2]], [[2, -2]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 2]], [[2, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206976
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 56, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i1', 'nt': [30, 15], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 6]], [[2, 6]], [[2, 0]], [[2, 3]], [[2, -6]], [[2, -3]], [[2, 0]], [[2, 3]], [[2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, -4]], [[2, 2]], [[2, -7]], [[-1, -6]], [[-1, 4]], [[-1, -2]], [[-1, 0]], [[-1, 6]], [[-1, -3]], [[-1, 4]], [[-1, -2]], [[-1, 7]], [[-1, -7]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[-1, -3]], [[-1, 7]], [[-1, 2]], [[-1, -4]], [[-1, 6]], [[-1, 5]], [[-1, -1]], [[2, -7]], [[-1, -3]], [[-1, 2]], [[-1, 7]], [[-1, 5]], [[-1, -7]], [[-1, -5]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[2, -2]], [[-1, 3]], [[-1, -3]], [[-1, 4]], [[-1, -6]], [[2, 1]], [[2, 2]], [[2, 7]], [[-1, 3]], [[2, 5]], [[2, -4]], [[2, -1]], [[2, -5]], [[2, 4]], [[2, 2]], [[2, 7]], [[-1, 5]], [[2, 5]], [[2, -4]], [[2, -1]], [[2, -5]], [[-1, -5]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, -6]], [[-1, 4]], [[-1, 2]], [[-1, 7]], [[-1, 3]], [[-1, -7]], [[-1, 6]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 7]], [[-1, 2]], [[-1, -4]], [[-1, -5]], [[-1, 5]], [[-1, -1]], [[2, -7]], [[2, -2]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[-1, -6]], [[-1, -7]], [[-1, -6]], [[-1, 0]], [[-1, 4]], [[2, 1]], [[2, 4]], [[-1, -2]], [[-1, -3]], [[-1, -5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206977
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 57, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -6]], [[2, -6]], [[2, 0]], [[2, -3]], [[2, 6]], [[2, 3]], [[2, 0]], [[2, -3]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -7]], [[2, 4]], [[2, -2]], [[2, 7]], [[-1, 6]], [[-1, -4]], [[-1, 2]], [[-1, 0]], [[-1, -6]], [[-1, 3]], [[-1, -4]], [[-1, 2]], [[-1, -7]], [[-1, 7]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[-1, 3]], [[-1, -7]], [[-1, -2]], [[-1, 4]], [[-1, -6]], [[-1, -5]], [[-1, 1]], [[2, 7]], [[-1, 3]], [[-1, -2]], [[-1, -7]], [[-1, -5]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[2, 2]], [[-1, -3]], [[-1, 3]], [[-1, -4]], [[-1, 6]], [[2, -1]], [[2, -2]], [[2, -7]], [[-1, -3]], [[2, -5]], [[2, 4]], [[2, 1]], [[2, 5]], [[2, -4]], [[2, -2]], [[2, -7]], [[-1, -5]], [[2, -5]], [[2, 4]], [[2, 1]], [[2, 5]], [[-1, 5]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, -3]], [[-1, -1]], [[-1, 6]], [[-1, -4]], [[-1, -2]], [[-1, -7]], [[-1, -3]], [[-1, 7]], [[-1, -6]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -7]], [[-1, -2]], [[-1, 4]], [[-1, 5]], [[-1, -5]], [[-1, 1]], [[2, 7]], [[2, 2]], [[-1, 0]], [[-1, -6]], [[-1, -6]], [[-1, 6]], [[-1, 7]], [[-1, 6]], [[-1, 0]], [[-1, -4]], [[2, -1]], [[2, -4]], [[-1, 2]], [[-1, 3]], [[-1, 5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206978
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 58, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i3', 'nt': [30, 15], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, -6]], [[2, -6]], [[2, 0]], [[2, -3]], [[2, 6]], [[2, 3]], [[2, 0]], [[2, -3]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 7]], [[2, -2]], [[2, -1]], [[2, -7]], [[2, 2]], [[-1, 6]], [[-1, 1]], [[-1, 7]], [[-1, 0]], [[-1, -6]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -7]], [[-1, 3]], [[-1, -2]], [[-1, -7]], [[-1, -1]], [[-1, -6]], [[-1, 5]], [[-1, -4]], [[2, 2]], [[-1, 3]], [[-1, -7]], [[-1, -2]], [[-1, 5]], [[-1, 2]], [[-1, -5]], [[-1, -4]], [[-1, -1]], [[-1, 7]], [[-1, 4]], [[-1, 4]], [[2, 7]], [[-1, -3]], [[-1, 3]], [[-1, 1]], [[-1, 6]], [[2, 4]], [[2, -7]], [[2, -2]], [[-1, -3]], [[2, 5]], [[2, -1]], [[2, -4]], [[2, -5]], [[2, 1]], [[2, -7]], [[2, -2]], [[-1, 5]], [[2, 5]], [[2, -1]], [[2, -4]], [[2, -5]], [[-1, -5]], [[-1, 4]], [[-1, 4]], [[-1, -4]], [[-1, -3]], [[-1, -3]], [[-1, 4]], [[-1, 6]], [[-1, 1]], [[-1, -7]], [[-1, -2]], [[-1, -3]], [[-1, 2]], [[-1, -6]], [[-1, -4]], [[-1, -1]], [[-1, 7]], [[-1, -2]], [[-1, -7]], [[-1, -1]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[2, 2]], [[2, 7]], [[-1, 0]], [[-1, -6]], [[-1, -6]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 0]], [[-1, 1]], [[2, 4]], [[2, 1]], [[-1, 7]], [[-1, 3]], [[-1, -5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206979
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 59, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, 6]], [[2, 6]], [[2, 0]], [[2, 3]], [[2, -6]], [[2, -3]], [[2, 0]], [[2, 3]], [[2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 1]], [[2, 7]], [[2, -2]], [[-1, -6]], [[-1, -1]], [[-1, -7]], [[-1, 0]], [[-1, 6]], [[-1, -3]], [[-1, -1]], [[-1, -7]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 7]], [[-1, -3]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[-1, 6]], [[-1, -5]], [[-1, 4]], [[2, -2]], [[-1, -3]], [[-1, 7]], [[-1, 2]], [[-1, -5]], [[-1, -2]], [[-1, 5]], [[-1, 4]], [[-1, 1]], [[-1, -7]], [[-1, -4]], [[-1, -4]], [[2, -7]], [[-1, 3]], [[-1, -3]], [[-1, -1]], [[-1, -6]], [[2, -4]], [[2, 7]], [[2, 2]], [[-1, 3]], [[2, -5]], [[2, 1]], [[2, 4]], [[2, 5]], [[2, -1]], [[2, 7]], [[2, 2]], [[-1, -5]], [[2, -5]], [[2, 1]], [[2, 4]], [[2, 5]], [[-1, 5]], [[-1, -4]], [[-1, -4]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, -4]], [[-1, -6]], [[-1, -1]], [[-1, 7]], [[-1, 2]], [[-1, 3]], [[-1, -2]], [[-1, 6]], [[-1, 4]], [[-1, 1]], [[-1, -7]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[2, -2]], [[2, -7]], [[-1, 0]], [[-1, 6]], [[-1, 6]], [[-1, -6]], [[-1, -2]], [[-1, -6]], [[-1, 0]], [[-1, -1]], [[2, -4]], [[2, -1]], [[-1, -7]], [[-1, -3]], [[-1, 5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206981
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 60, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i5', 'nt': [30, 15], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[2, 6]], [[2, 3]], [[2, 3]], [[2, 0]], [[2, -6]], [[2, -3]], [[2, 6]], [[2, 0]], [[2, -6]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[2, -4]], [[2, -1]], [[-1, -3]], [[-1, 7]], [[-1, 4]], [[-1, 0]], [[-1, 3]], [[-1, 6]], [[-1, 7]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -7]], [[-1, -4]], [[-1, 6]], [[-1, 1]], [[-1, -4]], [[-1, -7]], [[-1, 3]], [[-1, 5]], [[-1, 2]], [[2, -1]], [[-1, 6]], [[-1, -4]], [[-1, 1]], [[-1, 5]], [[-1, -1]], [[-1, -5]], [[-1, 2]], [[-1, -7]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[2, 4]], [[-1, -6]], [[-1, 6]], [[-1, 7]], [[-1, -3]], [[2, -2]], [[2, -4]], [[2, 1]], [[-1, -6]], [[2, 5]], [[2, -7]], [[2, 2]], [[2, -5]], [[2, 7]], [[2, -4]], [[2, 1]], [[-1, 5]], [[2, 5]], [[2, -7]], [[2, 2]], [[2, -5]], [[-1, -5]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -6]], [[-1, -6]], [[-1, -2]], [[-1, -3]], [[-1, 7]], [[-1, -4]], [[-1, 1]], [[-1, -6]], [[-1, -1]], [[-1, 3]], [[-1, 2]], [[-1, -7]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -7]], [[-1, -5]], [[-1, 5]], [[-1, 2]], [[2, -1]], [[2, 4]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -1]], [[-1, -3]], [[-1, 0]], [[-1, 7]], [[2, -2]], [[2, 7]], [[-1, 4]], [[-1, 6]], [[-1, -5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206982
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 61, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[2, -6]], [[2, -3]], [[2, -3]], [[2, 0]], [[2, 6]], [[2, 3]], [[2, -6]], [[2, 0]], [[2, 6]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, -1]], [[2, 7]], [[2, 4]], [[2, 1]], [[-1, 3]], [[-1, -7]], [[-1, -4]], [[-1, 0]], [[-1, -3]], [[-1, -6]], [[-1, -7]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, -6]], [[-1, -1]], [[-1, 4]], [[-1, 7]], [[-1, -3]], [[-1, -5]], [[-1, -2]], [[2, 1]], [[-1, -6]], [[-1, 4]], [[-1, -1]], [[-1, -5]], [[-1, 1]], [[-1, 5]], [[-1, -2]], [[-1, 7]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[2, -4]], [[-1, 6]], [[-1, -6]], [[-1, -7]], [[-1, 3]], [[2, 2]], [[2, 4]], [[2, -1]], [[-1, 6]], [[2, -5]], [[2, 7]], [[2, -2]], [[2, 5]], [[2, -7]], [[2, 4]], [[2, -1]], [[-1, -5]], [[2, -5]], [[2, 7]], [[2, -2]], [[2, 5]], [[-1, 5]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 3]], [[-1, -7]], [[-1, 4]], [[-1, -1]], [[-1, 6]], [[-1, 1]], [[-1, -3]], [[-1, -2]], [[-1, 7]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 7]], [[-1, 5]], [[-1, -5]], [[-1, -2]], [[2, 1]], [[2, -4]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 0]], [[-1, -7]], [[2, 2]], [[2, -7]], [[-1, -4]], [[-1, -6]], [[-1, 5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206983
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 62, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i7', 'nt': [30, 15], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[2, -6]], [[2, -3]], [[2, -3]], [[2, 0]], [[2, 6]], [[2, 3]], [[2, -6]], [[2, 0]], [[2, 6]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[-1, 3]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -3]], [[-1, -6]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -6]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -3]], [[-1, 5]], [[-1, -7]], [[2, -4]], [[-1, -6]], [[-1, -1]], [[-1, 4]], [[-1, 5]], [[-1, -4]], [[-1, -5]], [[-1, -7]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[2, 1]], [[-1, 6]], [[-1, -6]], [[-1, -2]], [[-1, 3]], [[2, 7]], [[2, -1]], [[2, 4]], [[-1, 6]], [[2, 5]], [[2, 2]], [[2, -7]], [[2, -5]], [[2, -2]], [[2, -1]], [[2, 4]], [[-1, 5]], [[2, 5]], [[2, 2]], [[2, -7]], [[2, -5]], [[-1, -5]], [[-1, 7]], [[-1, 7]], [[-1, -7]], [[-1, 6]], [[-1, 6]], [[-1, 7]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, 4]], [[-1, 6]], [[-1, -4]], [[-1, -3]], [[-1, -7]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, -7]], [[2, -4]], [[2, 1]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -4]], [[-1, 3]], [[-1, 0]], [[-1, -2]], [[2, 7]], [[2, -2]], [[-1, 1]], [[-1, -6]], [[-1, -5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206984
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 75, 'counter': 63, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.6', 'image_order': 90, 'indicator': 0, 'kernel': '90.b1.a1', 'kernel_order': 5, 'label': '450.29.2i8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[2, 6]], [[2, 3]], [[2, 3]], [[2, 0]], [[2, -6]], [[2, -3]], [[2, 6]], [[2, 0]], [[2, -6]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[-1, -3]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, 6]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 6]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 3]], [[-1, -5]], [[-1, 7]], [[2, 4]], [[-1, 6]], [[-1, 1]], [[-1, -4]], [[-1, -5]], [[-1, 4]], [[-1, 5]], [[-1, 7]], [[-1, -2]], [[-1, -1]], [[-1, -7]], [[-1, -7]], [[2, -1]], [[-1, -6]], [[-1, 6]], [[-1, 2]], [[-1, -3]], [[2, -7]], [[2, 1]], [[2, -4]], [[-1, -6]], [[2, -5]], [[2, -2]], [[2, 7]], [[2, 5]], [[2, 2]], [[2, 1]], [[2, -4]], [[-1, -5]], [[2, -5]], [[2, -2]], [[2, 7]], [[2, 5]], [[-1, 5]], [[-1, -7]], [[-1, -7]], [[-1, 7]], [[-1, -6]], [[-1, -6]], [[-1, -7]], [[-1, -3]], [[-1, 2]], [[-1, 1]], [[-1, -4]], [[-1, -6]], [[-1, 4]], [[-1, 3]], [[-1, 7]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, 7]], [[2, 4]], [[2, -1]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 4]], [[-1, -3]], [[-1, 0]], [[-1, 2]], [[2, -7]], [[2, 2]], [[-1, -1]], [[-1, 6]], [[-1, 5]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206985
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 64, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j1', 'nt': [30, 16], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[-1, 5]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, -4]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, -2]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[-1, -5]], [[1, 4], [1, 6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, -1]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 5]], [[-1, -5]], [[1, 7], [1, -7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 4], [1, -4]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[-1, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206986
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 65, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, -5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 1], [1, 4]], [[-1, 0]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, -2]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, 6]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[-1, -5]], [[-1, 5]], [[1, 7], [1, -7]], [[1, 2], [1, 3]], [[1, 4], [1, -4]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206987
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 66, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j3', 'nt': [30, 16], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[1, 1], [1, -1]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 7], [1, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [1, -1]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 7], [1, -7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, 3]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, -5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 4], [1, -4]], [[1, 2], [1, 3]], [[-1, 5]], [[-1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[-1, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 2], [1, 3]], [[1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206988
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 67, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[-1, 0]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, -5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[-1, 0]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, 3]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, -5]], [[-1, 5]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 1], [1, -1]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206989
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 68, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j5', 'nt': [30, 16], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[1, 7], [1, -7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[-1, 5]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 7], [1, -7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, -4]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, 3]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, -5]], [[1, 3], [1, 7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 2], [1, -2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 5]], [[-1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, 6]], [[1, 7], [1, -7]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, -5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206990
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 69, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[1, 7], [1, -7]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, -5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 7], [1, -7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, -4]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 4], [1, -4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, -5]], [[-1, 5]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 7], [1, -7]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, 3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206992
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 70, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j7', 'nt': [30, 16], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[1, 2], [1, -2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 7], [1, -7]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, -2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [1, -1]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, -5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 2], [1, 3]], [[1, 7], [1, -7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 5]], [[-1, -5]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, -5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 7], [1, -7]], [[1, 2], [1, 3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206993
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 71, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '90.7', 'image_order': 90, 'indicator': 0, 'kernel': '90.a1.a1', 'kernel_order': 5, 'label': '450.29.2j8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[-1, -5]], [[1, 2], [1, 3]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, -1]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 4], [1, 6]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0]], [[1, 4], [1, -4]], [[1, 3], [1, 7]], [[-1, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 5]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 7], [1, -7]], [[1, 4], [1, 6]], [[-1, -5]], [[-1, 5]], [[1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 2], [1, -2]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 4], [1, 6]], [[1, 7], [1, -7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206994
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 72, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k1', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -6]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -3]], [[2, 3]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 5]], [[1, 4], [1, -4]], [[-1, 6]], [[1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 3]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 2], [1, -2]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, -3]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, -1]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 2], [1, 4]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 5], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 3]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 2]], [[-1, -3]], [[-1, -3]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[1, 5], [1, 7]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[1, 4], [1, 5]], [[1, 4], [1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, 2]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[1, 1], [1, -1]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206995
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 73, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 6]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 3]], [[2, -3]], [[1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 4], [1, -4]], [[-1, -6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, -3]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 2], [1, 4]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 3], [1, 6]], [[-1, 3]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 4], [1, 5]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, 2]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 3], [1, 6]], [[-1, -3]], [[1, 1], [1, 5]], [[1, 5], [1, 7]], [[-1, 6]], [[1, 0], [1, 3]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[1, 4], [1, 5]], [[1, 3], [1, -3]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 1], [-1, 6], [1, 7]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 3]], [[-1, 3]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 2]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 4], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206996
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 74, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k3', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -6]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -3]], [[2, 3]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, -1]], [[-1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, 4]], [[-1, 3]], [[1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 5]], [[1, 4], [1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[1, 1], [1, 2]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, -3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, -4]], [[1, 1], [1, 5]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 3]], [[1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [1, 5]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 2], [1, 4]], [[1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, -3]], [[-1, -3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[1, 4], [1, -4]], [[1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206997
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 75, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 6]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 3]], [[2, -3]], [[-1, 0], [1, 2], [-1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 4], [1, 5]], [[1, 1], [1, -1]], [[-1, -6]], [[1, 1], [1, 5]], [[1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, -3]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 2]], [[-1, 1], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 3], [1, 6]], [[-1, 3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 4], [1, -4]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 3], [1, 6]], [[-1, -3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 6]], [[1, 0], [1, 3]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 1], [1, 2]], [[-1, -6]], [[1, 5], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 3]], [[-1, 3]], [[1, 4], [1, 5]], [[1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206998
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 76, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k5', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, 6]], [[2, -6]], [[1, 4], [1, 5]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, -2]], [[-1, 3]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, -6]], [[1, 1], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, -1]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 7], [1, -7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 7], [1, -7]], [[1, 4], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, -6]], [[1, 5], [1, 7]], [[1, 4], [1, 5]], [[-1, -3]], [[1, 0], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 6], [1, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[-1, 3]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 2]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 6]], [[-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[1, 7], [1, -7]], [[1, 1], [1, 5]], [[1, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, 2]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206999
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 77, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, -6]], [[2, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, 4]], [[1, 5], [1, 7]], [[1, 2], [1, -2]], [[-1, -3]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, -6]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 7], [1, -7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 7], [1, -7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 4], [1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 5]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[-1, 0], [1, 2], [-1, 5]], [[1, 6], [1, -6]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, -3]], [[1, 1], [1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, -6]], [[-1, -6]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 4], [1, 5]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 7], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, 4]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207000
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 78, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k7', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 7], [1, -7]], [[-1, 3]], [[1, 5], [1, 7]], [[1, 4], [1, 5]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[-1, -6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 2], [1, -2]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, -2]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[1, 1], [1, 5]], [[-1, 2], [1, 6], [-1, 7]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, -3]], [[1, 0], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 3]], [[1, 4], [1, 5]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 4], [1, 5]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 6]], [[-1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, -4]], [[-1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207001
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 79, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2k8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, -6]], [[2, 6]], [[1, 1], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[1, 7], [1, -7]], [[-1, -3]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 6]], [[1, 4], [1, 5]], [[1, 1], [1, 2]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, -6]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 5], [1, 7]], [[1, 2], [1, -2]], [[1, 1], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[1, 5], [1, 7]], [[1, 6], [1, -6]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, -3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 4], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, 4]], [[-1, -6]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 2], [1, -2]], [[1, 4], [1, 5]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 3]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 5], [1, 7]], [[1, 1], [1, 2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207003
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 80, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l1', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -6]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -3]], [[2, 3]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 7], [1, -7]], [[-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 4], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 3]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 4], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 5], [1, 7]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [1, 6]], [[-1, -3]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 6]], [[-1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[1, 2], [1, 4]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 6]], [[1, 1], [1, 2]], [[1, 1], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, -3]], [[-1, -3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 2], [1, -2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 5]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[1, 2], [1, 4]], [[1, 4], [1, 5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207004
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 81, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 6]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 3]], [[2, -3]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[-1, -6]], [[1, 2], [1, 4]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 4], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 4], [1, 5]], [[-1, -3]], [[1, 1], [1, 2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 5]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 3]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[1, 2], [1, -2]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, -2]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, -3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, -6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 4], [1, 5]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 5], [1, 7]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, 6]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207005
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 82, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l3', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -6]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -3]], [[2, 3]], [[1, 1], [1, 2]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 4], [1, 5]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 1], [1, -1]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [1, 6]], [[-1, -3]], [[1, 4], [1, 5]], [[1, 4], [1, 5]], [[1, 7], [1, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 7], [1, -7]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [1, 6]], [[-1, 3]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, 2]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, -3]], [[-1, -3]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207006
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 83, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 6]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 3]], [[2, -3]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, -2]], [[-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, -3]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, 4]], [[1, 2], [1, 4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 7], [1, -7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 2]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, -3]], [[1, 2], [1, 4]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, -6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 4], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, 2]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 5]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[1, 7], [1, -7]], [[-1, 1], [-1, 6], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 4], [1, 5]], [[-1, 0], [1, 2], [-1, 5]], [[1, 1], [1, -1]], [[-1, 6]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207007
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 84, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l5', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, 6]], [[2, -6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 5]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, -6]], [[1, 2], [1, 4]], [[1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 5]], [[1, 7], [1, -7]], [[1, 4], [1, 5]], [[1, 0], [1, 3]], [[-1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 5]], [[1, 4], [1, -4]], [[-1, 1], [-1, 6], [1, 7]], [[1, 4], [1, -4]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [1, 3]], [[-1, -6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 3]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 6]], [[-1, 6]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 7], [1, -7]], [[-1, -3]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207008
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 85, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, -1]], [[-1, -3]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 4], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 7], [1, -7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, -6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 4], [1, -4]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 4], [1, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 6]], [[1, 1], [1, 2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 3]], [[1, 3], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 4], [1, 5]], [[-1, -3]], [[1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 5]], [[1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, 4]], [[1, 1], [1, 5]], [[-1, -6]], [[-1, -6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, 5]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 4], [1, -4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[1, 1], [1, 5]], [[1, 7], [1, -7]], [[-1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207009
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 86, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l7', 'nt': [30, 36], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -3]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, 6]], [[2, -6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 4], [1, -4]], [[-1, 3]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[-1, 6]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, -1]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, 4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, 4]], [[1, 0], [1, 3]], [[-1, -6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[1, 3], [1, -3]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, 5]], [[-1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 5]], [[-1, 6]], [[-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 4], [1, 5]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 1], [1, -1]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 4], [1, 5]], [[1, 2], [1, -2]], [[-1, -3]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[-1, 0], [1, 2], [-1, 5]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207010
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 87, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.11', 'image_order': 150, 'indicator': 0, 'kernel': '150.a1.a1', 'kernel_order': 3, 'label': '450.29.2l8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 3]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, -6]], [[2, 6]], [[1, 2], [1, 4]], [[1, 1], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, -3]], [[1, 1], [1, 2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 4], [1, 5]], [[1, 2], [1, -2]], [[1, 1], [1, 5]], [[1, 0], [-1, 2], [-1, 7]], [[-1, -6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [1, -1]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, -1]], [[1, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 5], [1, 7]], [[1, 4], [1, 5]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[-1, 3]], [[1, 3], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 3], [1, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, -3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, -6]], [[-1, -6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[1, 1], [1, 2]], [[1, 1], [1, 2]], [[1, 4], [1, 5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 1], [1, -1]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[1, 5], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, -2]], [[-1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207011
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 88, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m1', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, -4]], [[2, 2]], [[2, -7]], [[1, 0], [1, 3]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[1, 6], [1, -6]], [[2, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[2, -7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[2, -3]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 4], [1, 7]], [[2, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[2, -6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[2, 1]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [1, 3]], [[1, 1], [1, 7]], [[2, 2]], [[2, 7]], [[1, 0], [1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[2, -1]], [[2, -4]], [[2, -2]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[2, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[1, 3], [1, 6]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207012
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 89, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -7]], [[2, 4]], [[2, -2]], [[2, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[2, -6]], [[1, 0], [1, 6]], [[1, 2], [1, 5]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[2, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 4], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 1], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[2, 3]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[2, -3]], [[1, 0], [1, 6]], [[1, 2], [1, 5]], [[2, 6]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[2, -1]], [[-1, 0], [-1, 5], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[2, -2]], [[2, -7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [1, 3]], [[2, 1]], [[2, 4]], [[2, 2]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[2, -4]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207014
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 90, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m3', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 7]], [[2, -2]], [[2, -1]], [[2, -7]], [[2, 2]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 6], [1, -6]], [[2, -6]], [[1, 0], [1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[2, 2]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[2, 3]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[2, -3]], [[1, 0], [1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[2, 6]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[2, 4]], [[1, 2], [1, 5]], [[1, 3], [1, 6]], [[1, 3], [1, 6]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[2, -7]], [[2, -2]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[2, -4]], [[2, -1]], [[2, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 6], [1, -6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[2, 1]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207015
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 91, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 1]], [[2, 7]], [[2, -2]], [[1, 0], [1, 3]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 6], [1, -6]], [[2, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 4], [1, 7]], [[2, -2]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[1, 4], [1, 7]], [[2, -3]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 2], [1, 5]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[2, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[2, -6]], [[1, 2], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[2, -4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 2], [1, 5]], [[1, 0], [1, 3]], [[-1, 1], [1, 2], [-1, 6]], [[2, 7]], [[2, 2]], [[1, 0], [1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 2], [-1, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[2, -1]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 3], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207016
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 92, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m5', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[2, -4]], [[2, -1]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[2, 3]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[2, -1]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[2, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [1, 7]], [[1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[1, 1], [1, 7]], [[2, -6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[2, -3]], [[-1, 0], [1, 1], [-1, 5]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[2, -2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[2, -4]], [[2, 1]], [[1, 0], [1, 3]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 6]], [[2, 2]], [[2, -7]], [[2, 4]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[2, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207017
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 93, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, -1]], [[2, 7]], [[2, 4]], [[2, 1]], [[1, 0], [1, 6]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 5]], [[1, 3], [1, -3]], [[2, -3]], [[1, 0], [1, 3]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[2, 1]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, 6]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[2, -6]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[2, 6]], [[1, 0], [1, 3]], [[-1, 1], [1, 5], [-1, 6]], [[2, 3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[2, 2]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[2, 4]], [[2, -1]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[2, -2]], [[2, 7]], [[2, -4]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 3], [1, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[2, -7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 5]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207018
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 94, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m7', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[1, 0], [1, 6]], [[1, 4], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[2, -3]], [[1, 0], [1, 3]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[2, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[2, -6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[2, 6]], [[1, 0], [1, 3]], [[-1, 0], [1, 1], [-1, 5]], [[2, 3]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[2, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [1, 6]], [[1, 4], [1, 7]], [[2, -1]], [[2, 4]], [[1, 0], [-1, 2], [-1, 7]], [[1, 2], [1, 5]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[2, -7]], [[2, 2]], [[2, 1]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[2, -2]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207019
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 95, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2m8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 3], [1, -3]], [[2, 3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 1], [1, 7]], [[2, 4]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 4], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[2, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[2, -6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[2, -3]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [1, 3]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[2, -7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[2, 1]], [[2, -4]], [[1, 0], [1, 3]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [1, 6]], [[2, 7]], [[2, -2]], [[2, -1]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, 6]], [[1, 1], [1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[2, 2]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207020
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 96, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n1', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, -4]], [[2, 2]], [[2, -7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 4], [1, 7]], [[1, 3], [1, -3]], [[2, 6]], [[1, 3], [1, 6]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[2, -7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[2, -3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[2, 3]], [[1, 3], [1, 6]], [[1, 1], [1, 7]], [[2, -6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[2, 1]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[2, 2]], [[2, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[2, -1]], [[2, -4]], [[2, -2]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[2, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 4], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207021
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 97, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -7]], [[2, 4]], [[2, -2]], [[2, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[2, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[2, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [1, 6]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [1, 3]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[2, 3]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[2, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[2, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[2, -1]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 2], [1, 5]], [[2, -2]], [[2, -7]], [[1, 3], [1, 6]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[2, 1]], [[2, 4]], [[2, 2]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[2, -4]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207022
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 98, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n3', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 7]], [[2, -2]], [[2, -1]], [[2, -7]], [[2, 2]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, -3]], [[2, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[2, 2]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [1, 6]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[2, 3]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[2, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[2, 6]], [[1, 1], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 3], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[2, 4]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[2, -7]], [[2, -2]], [[1, 3], [1, 6]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[2, -4]], [[2, -1]], [[2, 7]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[2, 1]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7207023
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 99, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 1]], [[2, 7]], [[2, -2]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[2, 6]], [[1, 3], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[2, -2]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[2, -3]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 2], [1, 5]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[2, 3]], [[1, 3], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[2, -6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[2, -4]], [[1, 1], [1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[2, 7]], [[2, 2]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 4], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 3]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[2, -1]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206891
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 100, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n5', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[2, -4]], [[2, -1]], [[1, 3], [1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [1, 7]], [[1, 6], [1, -6]], [[2, 3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[2, -1]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[2, 6]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 4]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[2, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[2, -3]], [[1, 4], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[2, -2]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[1, 4], [1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[2, -4]], [[2, 1]], [[-1, 2], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[2, 2]], [[2, -7]], [[2, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[2, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206892
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 101, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, -1]], [[2, 7]], [[2, 4]], [[2, 1]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 6], [1, -6]], [[2, -3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[2, 1]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [1, 3]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[2, -6]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 5]], [[2, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[2, 3]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[2, 2]], [[1, 4], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[2, 4]], [[2, -1]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 3], [1, 6]], [[2, -2]], [[2, 7]], [[2, -4]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 6], [1, -6]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[2, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206893
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 102, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n7', 'nt': [30, 39], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 6], [1, -6]], [[2, -3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[2, -4]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 3]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 2], [1, 5]], [[2, -6]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 1], [1, 4]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[2, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[2, 3]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[2, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[2, -1]], [[2, 4]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 3], [1, 6]], [[2, -7]], [[2, 2]], [[2, 1]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 6], [1, -6]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[1, 2], [1, 5]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[2, -2]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 0], [1, 3]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206894
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 45, 'counter': 103, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '150.8', 'image_order': 150, 'indicator': 0, 'kernel': '150.b1.a1', 'kernel_order': 3, 'label': '450.29.2n8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 6], [1, -6]], [[2, 3]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[-1, 1], [-1, 4], [-1, 7]], [[2, 4]], [[1, 4], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 1], [-1, 4], [-1, 7]], [[2, 6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[2, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[2, -3]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[2, -7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 3]], [[1, 0], [1, 3]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[2, 1]], [[2, -4]], [[-1, 2], [1, 6], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[2, 7]], [[2, -2]], [[2, -1]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 6], [1, -6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[2, 2]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206895
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 104, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o1', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, -4]], [[2, 2]], [[2, -7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 5], [1, 6]], [[1, 1], [1, -1]], [[-1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 3], [1, 5]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, -7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 3], [1, 4]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, -3]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 0], [1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[-1, 3]], [[1, 4], [1, 5]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, -6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 2], [1, 3]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 1]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 2], [1, 4]], [[1, 0], [1, 2]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, 6]], [[-1, 2]], [[-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [1, 1]], [[-1, 0], [1, 2], [-1, 5]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 4]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 4], [1, -4]], [[1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[-1, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206896
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 105, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -7]], [[2, 4]], [[2, -2]], [[2, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 3], [1, 4]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, -1]], [[-1, -6]], [[1, 1], [1, 5]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 7]], [[1, 3], [1, 5]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [1, 1]], [[1, 5], [1, 6]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, 3]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 3]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, -3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [1, 7]], [[-1, 6]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 6], [1, 7]], [[-1, -1]], [[1, 0], [1, 2]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, -2]], [[-1, -7]], [[1, 4], [1, 5]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, 0], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 6]], [[1, 2], [1, 6]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[-1, -4]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [1, 4]], [[1, 2], [1, 4]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206897
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 106, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o3', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 7]], [[2, -2]], [[2, -1]], [[2, -7]], [[2, 2]], [[1, 5], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 4], [1, -4]], [[-1, -6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 2]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 2], [1, 4], [-1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [-1, 5], [1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[1, 1], [1, 2]], [[1, 3], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 3]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 4], [1, 6]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 3], [1, 5]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, -3]], [[1, 1], [1, 5]], [[1, 0], [1, 2]], [[-1, 6]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 2], [1, 6]], [[-1, 4]], [[1, 0], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, -7]], [[-1, -2]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [1, 4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, -4]], [[-1, -1]], [[-1, 7]], [[1, 5], [1, 6]], [[1, 0], [1, 1]], [[1, 6], [1, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 3], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 3]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 2], [1, -2]], [[-1, 1]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206898
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 107, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 1]], [[2, 7]], [[2, -2]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[1, 4], [1, -4]], [[-1, 6]], [[1, 4], [1, 5]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, -2]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 2], [1, 6]], [[1, 4], [1, 7]], [[-1, -3]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 1], [1, 3]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 5], [1, 6]], [[1, 4], [1, 6]], [[1, 3], [1, 5]], [[1, 0], [1, 2]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 3], [1, 4]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 3]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, -6]], [[1, 2], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, -4]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 6], [1, 7]], [[-1, 7]], [[-1, 2]], [[1, 1], [1, 5]], [[1, 0], [-1, 1], [-1, 6]], [[1, 5], [1, 7]], [[-1, 4]], [[-1, 1]], [[-1, -7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [1, -1]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, -1]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [1, 1]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206899
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 108, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o5', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[2, -4]], [[2, -1]], [[1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 3], [1, 5]], [[1, 2], [1, -2]], [[-1, 3]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, -1]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [1, 2]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 1], [1, 3]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 6]], [[1, 3], [1, 4]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 2], [1, 3]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 1]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 5], [1, 6]], [[1, 1], [1, 7]], [[-1, -6]], [[1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, -3]], [[-1, 0], [1, 1], [-1, 5]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, -2]], [[1, 0], [1, 4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, -4]], [[-1, 1]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 2]], [[-1, -7]], [[-1, 4]], [[-1, 2], [1, 5], [-1, 7]], [[1, 0], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 7], [1, -7]], [[1, 1], [1, 5]], [[1, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 6], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206900
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 109, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, -1]], [[2, 7]], [[2, 4]], [[2, 1]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 2], [1, -2]], [[-1, -3]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 6]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, -6]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 6], [1, 7]], [[1, 2], [1, 3]], [[-1, 2], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 5], [1, 6]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 3], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [1, 1]], [[-1, 3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 1], [1, 3]], [[-1, 2]], [[1, 0], [-1, 1], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 4]], [[1, 1], [1, 5]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 4]], [[-1, -1]], [[1, 5], [1, 7]], [[1, 0], [1, 2]], [[1, 4], [1, 5]], [[-1, -2]], [[-1, 7]], [[-1, -4]], [[-1, 0], [1, 3], [-1, 5]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 7], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, 4]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, -1]], [[-1, -7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206902
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 110, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o7', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[1, 1], [1, 5]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[1, 7], [1, -7]], [[-1, -3]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 6]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 3], [1, 4]], [[-1, -4]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, -6]], [[1, 1], [-1, 2], [-1, 7]], [[1, 2], [1, 6]], [[1, 3], [1, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [-1, 5], [1, 6]], [[1, 0], [1, 4]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 3]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 7]], [[1, 0], [1, 1]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, -1]], [[-1, 4]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, -7]], [[-1, 2]], [[-1, 1]], [[1, 3], [1, 5]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, -2]], [[1, 4], [1, 5]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, -2]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [1, 2]], [[1, 1], [1, 2]], [[1, 2], [1, 3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206903
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 111, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2o8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 7], [1, -7]], [[-1, 3]], [[1, 5], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 6], [1, 7]], [[1, 3], [1, 4]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 4]], [[1, 5], [1, 6]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 1], [1, 7]], [[-1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 5]], [[1, 3], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [1, 4]], [[-1, -3]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[-1, -7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 4], [1, 5]], [[1, 1], [1, 3]], [[-1, 1]], [[-1, -4]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 5]], [[-1, 7]], [[-1, -2]], [[-1, -1]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 0], [1, 2]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, -4]], [[-1, 2]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206904
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 112, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p1', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, -4]], [[2, 2]], [[2, -7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, 6]], [[1, 0], [-1, 1], [-1, 6]], [[1, 4], [1, -4]], [[-1, 6]], [[1, 4], [1, 5]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 2], [1, 4], [-1, 7]], [[-1, -7]], [[1, 0], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 4]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 3], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, -3]], [[1, 1], [1, 3]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 0], [1, 2]], [[1, 4], [1, 7]], [[-1, 3]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 3], [1, 5]], [[-1, -6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1]], [[-1, 0], [1, 3], [-1, 5]], [[1, 2], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 2]], [[-1, 7]], [[1, 1], [1, 5]], [[-1, 0], [-1, 5], [1, 6]], [[1, 5], [1, 7]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 3], [1, 4]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 6], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 1], [1, -1]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[-1, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 5], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206905
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 113, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -7]], [[2, 4]], [[2, -2]], [[2, 7]], [[1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [1, 4]], [[1, 4], [1, -4]], [[-1, -6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[-1, 0], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 6]], [[1, 2], [1, 6]], [[1, 1], [1, 2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 3]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 6]], [[1, 0], [1, 2]], [[1, 3], [1, 5]], [[1, 1], [1, 3]], [[1, 6], [1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, -3]], [[1, 1], [1, 5]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 6]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, -1]], [[-1, 2], [1, 5], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 0], [1, 2], [-1, 5]], [[1, 3], [1, 4]], [[-1, -2]], [[-1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[1, 0], [1, 1]], [[1, 5], [1, 6]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [1, -1]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 2], [1, -2]], [[-1, -4]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206906
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 114, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p3', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 3]], [[-1, 2], [1, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 7]], [[2, -2]], [[2, -1]], [[2, -7]], [[2, 2]], [[-1, 0], [1, 2], [-1, 5]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, -1]], [[-1, -6]], [[1, 1], [1, 5]], [[1, 0], [1, 2]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 1], [1, 3]], [[-1, 2]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 5], [1, 6]], [[1, 0], [1, 1]], [[1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 3], [1, 4]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 3]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 1], [1, 3], [-1, 6]], [[1, 2], [1, 6]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, -3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 6]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 2], [1, 3]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 4]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 3], [1, 5]], [[1, 5], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, -7]], [[-1, -2]], [[1, 4], [1, 5]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, -4]], [[-1, -1]], [[-1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [-1, 5], [1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 4], [1, -4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[-1, 1]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206907
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 115, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 3], [1, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 1]], [[2, 7]], [[2, -2]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 6], [1, 7]], [[1, 0], [1, 1]], [[1, 1], [1, -1]], [[-1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 1], [1, 3]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, -2]], [[1, 0], [1, 2]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 2], [1, 3]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 4], [1, 7]], [[-1, -3]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 3]], [[1, 4], [1, 5]], [[-1, 0], [1, 3], [-1, 5]], [[-1, -6]], [[1, 2], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 3], [1, 4]], [[-1, -4]], [[1, 3], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 2], [1, 4]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 7]], [[-1, 2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 5], [1, 6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 4]], [[-1, 1]], [[-1, -7]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 2], [1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 4], [1, -4]], [[1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 1], [1, 2]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[-1, -1]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [-1, 5], [1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206908
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 116, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p5', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[2, -4]], [[2, -1]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[-1, 3]], [[1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 6], [1, 7]], [[-1, -1]], [[1, 0], [1, 1]], [[1, 3], [1, 4]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[1, 0], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 2], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 3], [1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [1, 4]], [[-1, 0], [-1, 5], [1, 6]], [[1, 2], [1, 6]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [-1, 6]], [[1, 1], [1, 7]], [[-1, -6]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, -3]], [[-1, 0], [1, 1], [-1, 5]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 4], [-1, 5]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, -2]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[1, 5], [1, 6]], [[1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, -4]], [[-1, 1]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 1], [1, 5]], [[-1, 2]], [[-1, -7]], [[-1, 4]], [[1, 0], [1, 2]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[1, 1], [1, 3]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, -4]], [[-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, 5]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 2], [1, 3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206909
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 117, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, -1]], [[2, 7]], [[2, 4]], [[2, 1]], [[1, 1], [1, 5]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [1, 7]], [[1, 7], [1, -7]], [[-1, -3]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [1, 1]], [[1, 3], [1, 4]], [[1, 6], [1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 1]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, -6]], [[1, 2], [1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [1, 2]], [[1, 3], [1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 1], [1, 3]], [[1, 0], [1, 4]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 2]], [[1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 4]], [[-1, -1]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, -2]], [[-1, 7]], [[-1, -4]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 2], [1, -2]], [[1, 4], [1, 5]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, -7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 1], [1, 2]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206910
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 118, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p7', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 3], [1, 6]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [1, 2]], [[1, 2], [1, -2]], [[-1, -3]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, -4]], [[1, 0], [1, 4]], [[1, 1], [-1, 2], [-1, 7]], [[1, 1], [1, 2]], [[1, 3], [1, 5]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, -6]], [[1, 6], [1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [1, 7]], [[1, 2], [1, 3]], [[1, 0], [1, 1]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 1], [1, 3], [-1, 6]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 6]], [[-1, 3]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 5]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, -1]], [[-1, 4]], [[1, 5], [1, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 4], [1, 5]], [[-1, -7]], [[-1, 2]], [[-1, 1]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 7], [1, -7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 2], [1, 4]], [[1, 3], [1, 4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, -1]], [[-1, -2]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206911
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 119, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2p8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [1, 6]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[1, 4], [1, 5]], [[1, 1], [1, 3]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 2], [1, -2]], [[-1, 3]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [1, 4]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 2], [1, 6]], [[-1, 4]], [[1, 0], [-1, 1], [-1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 0], [1, 2]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 1], [1, 7]], [[-1, 6]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 3], [1, 4]], [[1, 2], [1, 3]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 5], [1, 6]], [[1, 6], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [1, 1]], [[-1, 1], [1, 2], [-1, 6]], [[-1, -6]], [[1, 5], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, -3]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, -7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 2]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1]], [[-1, -4]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 3], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 7]], [[-1, -2]], [[-1, -1]], [[1, 0], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 7], [1, -7]], [[1, 1], [1, 5]], [[1, 2], [1, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 2]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206913
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 120, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q1', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, -4]], [[2, 2]], [[2, -7]], [[1, 1], [1, 2]], [[1, 3], [1, 5]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 6]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, -7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [1, 4]], [[1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 1], [1, 3]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 4], [1, 6]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, -3]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 2], [1, 3]], [[1, 6], [1, 7]], [[1, 3], [1, 4]], [[1, 5], [1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 3]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, -6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [1, 2]], [[-1, 1]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 5]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2]], [[-1, 7]], [[1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [1, 1]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206914
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 121, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -7]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[1, 2], [1, -2]], [[-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [1, 4]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, 7]], [[1, 2], [1, 6]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 3], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [1, 2]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 3]], [[1, 5], [1, 6]], [[1, 0], [1, 1]], [[1, 2], [1, 3]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, -3]], [[1, 2], [1, 4]], [[1, 3], [1, 4]], [[-1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, -1]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 7]], [[-1, -2]], [[-1, -7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 1], [1, 2]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[-1, 1], [-1, 6], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 1], [1, -1]], [[-1, -4]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206915
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 122, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q3', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 7]], [[2, -2]], [[2, -1]], [[2, -7]], [[2, 2]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 7], [1, -7]], [[-1, -6]], [[1, 2], [1, 4]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 5], [1, 6]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 2]], [[1, 6], [1, 7]], [[1, 0], [1, 1]], [[1, 1], [1, 5]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 3]], [[-1, 0], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 6]], [[1, 3], [1, 7]], [[1, 1], [1, 3]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 3], [1, 5]], [[1, 2], [1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[-1, -3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 6]], [[1, 1], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 4]], [[1, 3], [1, 4]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 4], [1, 5]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [1, 2]], [[-1, -7]], [[-1, -2]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, -4]], [[-1, -1]], [[-1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [1, 4]], [[1, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, 1]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, 3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206916
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 123, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 1]], [[2, 7]], [[2, -2]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 2], [1, 4], [-1, 7]], [[1, 7], [1, -7]], [[-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 6], [1, 7]], [[1, 0], [1, 1]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 5], [1, 6]], [[-1, -2]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, -3]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 3], [1, 7]], [[1, 2], [1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, -6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 7]], [[-1, -4]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 1], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 3], [1, 4]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 7]], [[-1, 2]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 4]], [[-1, 1]], [[-1, -7]], [[1, 1], [1, 3]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 0], [1, 2]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 3], [1, 5]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, -2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, -1]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206917
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 124, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q5', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[2, -4]], [[2, -1]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 6]], [[1, 4], [1, -4]], [[-1, 3]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, -1]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [1, 7]], [[1, 5], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 3], [1, 7]], [[1, 0], [1, 4]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 6]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 0], [1, 2]], [[1, 4], [1, 6]], [[1, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 3]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 3], [1, 5]], [[1, 5], [1, 6]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, -6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, -3]], [[1, 4], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 2]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 6]], [[-1, -2]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, -4]], [[-1, 1]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[1, 2], [1, 4]], [[-1, 2]], [[-1, -7]], [[-1, 4]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 3], [1, 4]], [[1, 0], [1, 1]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 5]], [[1, 2], [1, -2]], [[-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206918
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 125, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, -1]], [[2, 7]], [[2, 4]], [[2, 1]], [[1, 2], [1, 4]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 4], [1, -4]], [[-1, -3]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 1]], [[-1, 1], [1, 3], [-1, 6]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[1, 2], [1, 6]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[-1, -6]], [[1, 3], [1, 5]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 3]], [[1, 2], [1, 5]], [[-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 3]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, 7]], [[1, 0], [1, 4]], [[-1, 2]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [1, 1]], [[-1, 4]], [[-1, -1]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, -2]], [[-1, 7]], [[-1, -4]], [[1, 6], [1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 1], [1, -1]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[1, 0], [1, 2]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, -2]], [[-1, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 3], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206919
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 126, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q7', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 5], [1, 6]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 1], [1, -1]], [[-1, -3]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [1, 2]], [[1, 3], [1, 5]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, -4]], [[1, 1], [1, 3]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 6], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [1, 1]], [[1, 2], [1, 5]], [[-1, -6]], [[-1, 0], [1, 3], [-1, 5]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 6]], [[1, 1], [1, 2]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 3]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 2], [1, 3]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 1], [-1, 6]], [[-1, -1]], [[-1, 4]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 3], [1, 4]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, -7]], [[-1, 2]], [[-1, 1]], [[1, 2], [1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[1, 0], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 4], [1, -4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [1, 7]], [[1, 1], [1, 5]], [[1, 7], [1, -7]], [[-1, -2]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206920
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 127, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2q8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 6], [1, 7]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 3]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 3], [1, 5]], [[-1, 4]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [1, 2]], [[-1, 0], [1, 2], [-1, 5]], [[1, 3], [1, 4]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 5], [1, 6]], [[1, 1], [1, 5]], [[1, 2], [1, 3]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[1, 0], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 2], [1, 6]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, -6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, -3]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [1, 1]], [[-1, -7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [1, 4]], [[-1, 1]], [[-1, -4]], [[1, 1], [1, 2]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 7]], [[-1, -2]], [[-1, -1]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 4], [1, 5]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 7], [1, -7]], [[-1, 2]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[1, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206921
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 128, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r1', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, 7]], [[2, -4]], [[2, 2]], [[2, -7]], [[-1, 1], [-1, 6], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 5], [1, 6]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [1, 1]], [[-1, -7]], [[1, 3], [1, 4]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [1, 7]], [[1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[-1, -3]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 6]], [[1, 0], [1, 2]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 3]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 2], [1, 6]], [[-1, -6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 2], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 1]], [[1, 6], [1, 7]], [[1, 1], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 1], [1, 2]], [[1, 3], [1, 5]], [[-1, 2]], [[-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 1], [1, 3]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 4], [1, 6]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[1, 2], [1, -2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 4], [1, 5]], [[1, 2], [1, 3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206922
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 129, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r2', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, -7]], [[2, 4]], [[2, -2]], [[2, 7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 7], [1, -7]], [[-1, -6]], [[1, 2], [1, 4]], [[1, 3], [1, 4]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 1]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 5], [1, 6]], [[1, 1], [1, 5]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 3]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 3], [1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 2], [1, 6]], [[1, 0], [1, 4]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, -3]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 6]], [[-1, 1], [1, 2], [-1, 6]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 1], [1, 5], [-1, 6]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, -1]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 4], [1, 5]], [[1, 6], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, -2]], [[-1, -7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 3], [1, 5]], [[1, 4], [1, 6]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [1, 2]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 5], [1, 7]], [[1, 4], [1, -4]], [[-1, -4]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 3]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206924
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 130, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r3', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[1, 0], [1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 0], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 6], [1, -6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -4]], [[2, 1]], [[2, 7]], [[2, -2]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [1, 2]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 2], [1, -2]], [[-1, -6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[1, 0], [1, 4]], [[-1, 2]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 3]], [[1, 0], [1, 1]], [[1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 2], [1, 3]], [[1, 3], [1, 4]], [[1, 6], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-1, 0], [1, 4], [-1, 5]], [[-1, -3]], [[1, 2], [1, 4]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 6]], [[1, 1], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[1, 2], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 5]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 3], [1, 5]], [[-1, 4]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 4], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 2], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, -7]], [[-1, -2]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 7], [1, -7]], [[-1, 1], [-1, 6], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 1], [1, -1]], [[-1, 1]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 1], [1, 5]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206925
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 131, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r4', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[1, 6], [1, -6]], [[1, 0], [1, 6]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 4]], [[2, -1]], [[2, -7]], [[2, 2]], [[2, 1]], [[2, 7]], [[2, -2]], [[1, 1], [1, 2]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[1, 0], [1, 4]], [[1, 0], [-1, 1], [-1, 6]], [[-1, -2]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 4], [1, 5]], [[1, 1], [1, 3]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 0], [1, 2]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 3], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, -3]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 3]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 0], [1, 1]], [[1, 0], [1, 7]], [[1, 3], [1, 4]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 3]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 6], [1, 7]], [[-1, -6]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, 4]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 4], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, -4]], [[1, 2], [1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 1], [1, 5]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 7]], [[-1, 2]], [[1, 2], [1, 4]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 4]], [[-1, 1]], [[-1, -7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 4], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 7], [1, -7]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 5], [1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, -1]], [[1, 2], [1, 5]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 3], [1, 7]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206926
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 132, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r5', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 7]], [[2, 4]], [[2, 1]], [[2, -7]], [[2, -4]], [[2, -1]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 3], [1, 5]], [[1, 0], [1, 2]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[-1, -1]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 3], [1, 4]], [[1, 0], [1, 1]], [[1, 1], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 6]], [[1, 0], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 1], [-1, 2], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, -6]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 1], [1, 3], [-1, 6]], [[-1, -3]], [[1, 4], [1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 2], [1, 5]], [[-1, 0], [-1, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 2], [1, 3]], [[1, 5], [1, 6]], [[-1, -2]], [[1, 1], [1, 3]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, -4]], [[-1, 1]], [[1, 1], [1, 2]], [[1, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[-1, 2]], [[-1, -7]], [[-1, 4]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 3], [1, 7]], [[1, 0], [1, 4]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[1, 4], [1, -4]], [[1, 2], [1, 4]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 4], [1, 5]], [[-1, 0], [1, 3], [-1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 7], [1, -7]], [[-1, 7]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[1, 2], [1, 6]], [[1, 5], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206927
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 133, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r6', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -7]], [[2, -4]], [[2, -1]], [[2, 7]], [[2, 4]], [[2, 1]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 0], [1, 1]], [[1, 3], [1, 4]], [[1, 1], [1, -1]], [[-1, -3]], [[-1, 1], [-1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 2]], [[-1, 1]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 3], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 6], [1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 2], [1, 3]], [[1, 5], [1, 6]], [[-1, 0], [-1, 5], [1, 7]], [[-1, -6]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [1, 7]], [[1, 0], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 2], [1, 5]], [[-1, 6]], [[1, 1], [1, 2]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 3]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 2]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 0], [1, 2], [-1, 5]], [[1, 5], [1, 7]], [[1, 1], [1, 3]], [[1, 2], [1, 4]], [[-1, 0], [-1, 5], [1, 6]], [[-1, 4]], [[-1, -1]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, -2]], [[-1, 7]], [[-1, -4]], [[1, 1], [-1, 2], [-1, 7]], [[1, 2], [1, 6]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[1, 3], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 4], [1, -4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 4], [1, 5]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 2], [1, 5], [-1, 7]], [[1, 1], [1, 5]], [[1, 7], [1, -7]], [[-1, -7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206928
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 134, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r7', 'nt': [30, 104], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[-1, 0]], [[-1, 5]], [[-1, -5]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[1, 0], [1, 3]], [[1, 3], [1, 6]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [-1, 7]], [[1, 0], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -7]], [[2, -2]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -4]], [[1, 2], [1, 4]], [[1, 0], [-1, 1], [-1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 4], [1, -4]], [[-1, -3]], [[1, 1], [1, 2]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 7]], [[-1, -4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 2], [1, 6]], [[1, 1], [-1, 2], [-1, 7]], [[1, 0], [1, 4]], [[1, 4], [1, 5]], [[1, 3], [1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[1, 2], [1, 5]], [[-1, -6]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 3], [1, 5]], [[1, 4], [1, 6]], [[1, 3], [1, 4]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[1, 1], [1, 3]], [[1, 0], [1, 2]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[-1, 6]], [[-1, 1], [-1, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[-1, 3]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, 7]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[1, 5], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 1], [1, 3], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 5], [1, 6]], [[-1, -1]], [[-1, 4]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[-1, -7]], [[-1, 2]], [[-1, 1]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 6], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[1, 2], [1, 3]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [1, 1]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 1], [1, 5]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[1, 2], [1, -2]], [[-1, -2]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7206929
    {'center': '30.a1.a1', 'center_index': 30, 'center_order': 15, 'counter': 135, 'cyclotomic_n': 15, 'dim': 2, 'faithful': True, 'field': [1, -1, 1], 'group': '450.29', 'group_counter': 29, 'group_order': 450, 'image': None, 'image_isoclass': '450.29', 'image_order': 450, 'indicator': 0, 'kernel': '450.a1.a1', 'kernel_order': 1, 'label': '450.29.2r8', 'nt': [30, 8], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[-1, 0]], [[-1, -5]], [[-1, 5]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[1, 0], [-1, 2], [-1, 7]], [[-1, 0], [-1, 3], [-1, 6]], [[1, 0], [1, 6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [-1, 7]], [[1, 3], [1, 6]], [[-1, 0], [1, 2], [-1, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [-1, 3], [-1, 6], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 7]], [[2, 2]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 4]], [[1, 0], [-2, 1], [-1, 4], [1, 5], [-1, 6], [-1, 7]], [[1, 0], [1, 4]], [[1, 1], [-1, 2], [-1, 7]], [[1, 4], [1, -4]], [[-1, 3]], [[2, 0], [-1, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [1, 6], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[-1, 0], [1, 3], [-1, 5]], [[1, 0], [1, 7]], [[1, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 4]], [[-1, 0], [2, 2], [-1, 3], [-1, 6], [1, 7]], [[-1, 2], [1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [1, 2], [-1, 3], [-1, 4], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [2, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 6]], [[-1, 0], [-1, 1], [-1, 5], [-1, 6]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5]], [[-1, 0], [1, 2], [-1, 3], [1, 5], [-1, 6], [1, 7]], [[-1, 1], [-1, 4], [-1, 7]], [[-1, 6]], [[1, 0], [1, 2]], [[-1, 0], [-1, 2], [-1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 1], [-1, 2], [-1, 6], [-1, 7]], [[1, 4], [1, 6]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [-1, 5], [1, 6], [1, 7]], [[1, 0], [-2, 2], [1, 3], [-1, 4], [1, 6], [-2, 7]], [[2, 0], [-1, 1], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 1]], [[-1, 0], [1, 2], [-1, 3], [-1, 6], [2, 7]], [[-1, 0], [1, 1], [-1, 3], [1, 4], [1, 7]], [[-1, -6]], [[-1, 0], [1, 1], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 1], [1, 3]], [[-1, -3]], [[1, 0], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 5], [-1, 7]], [[1, 1], [-1, 2], [-1, 5], [1, 6]], [[1, 1], [1, 2]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [-1, 5]], [[-1, 0], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 3], [1, 4], [-1, 5], [-1, 6], [1, 7]], [[-1, 0], [-1, 5], [1, 7]], [[1, 2], [1, 5]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[1, 4], [1, 7]], [[1, 0], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, 7]], [[-1, 0], [-1, 5], [1, 6]], [[-1, -7]], [[-1, 1], [1, 3], [-1, 6]], [[-2, 0], [1, 1], [-1, 3], [1, 4], [-2, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [2, 5], [-1, 7]], [[-1, 2], [1, 4], [-1, 7]], [[-1, 0], [2, 1], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-2, 0], [1, 2], [-1, 3], [-1, 5], [-1, 6], [1, 7]], [[-1, 1]], [[-1, -4]], [[-1, 1], [-1, 6], [1, 7]], [[1, 2], [1, 6]], [[1, 2], [1, 4]], [[-1, 7]], [[-1, -2]], [[-1, -1]], [[1, 3], [1, 4]], [[-2, 0], [1, 1], [1, 2], [-2, 3], [1, 4], [-1, 5], [-1, 6], [2, 7]], [[1, 5], [1, 6]], [[1, 0], [-1, 1], [-1, 2], [-1, 4], [1, 5], [-2, 7]], [[1, 2], [1, 3]], [[2, 0], [-1, 2], [1, 3], [-1, 4], [1, 6], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 2], [-1, 6]], [[1, 1], [1, -1]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 6]], [[1, 1], [1, 5]], [[-1, 2], [1, 3], [-1, 4], [-1, 5], [1, 6], [-1, 7]], [[1, 3], [1, 5]], [[1, 4], [1, 5]], [[1, 2], [1, -2]], [[-1, 2]], [[-1, 1], [1, 5], [-1, 6]], [[1, 0], [-1, 2], [1, 3], [-1, 4], [1, 5], [1, 6], [-1, 7]], [[1, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [-1, 6], [1, 7]], [[1, 7], [1, -7]], [[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: 66708887
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 450, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '450.29.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '450.29', 'subgroup_hash': 29, 'subgroup_order': 450, 'subgroup_tex': 'C_{15}\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 225, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 15, 'label': '450.29.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '225.6', 'subgroup_hash': 6, 'subgroup_order': 225, 'subgroup_tex': 'C_{15}^2', 'supersolvable': True, 'sylow': 0}
  • id: 66708909
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': True, 'centralizer_order': 15, 'characteristic': True, 'core_order': 150, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '450.29.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '150.11', 'subgroup_hash': 11, 'subgroup_order': 150, 'subgroup_tex': 'C_5\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708920
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 75, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.3.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.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': 3, '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': '150.8', 'subgroup_hash': 8, 'subgroup_order': 150, 'subgroup_tex': 'D_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708930
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': True, 'centralizer_order': 15, 'characteristic': True, 'core_order': 90, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '450.29.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '90.7', 'subgroup_hash': 7, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708931
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 45, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.5.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.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': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '90.6', 'subgroup_hash': 6, 'subgroup_order': 90, 'subgroup_tex': 'S_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708932
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 75, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '450.29.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '75.3', 'subgroup_hash': 3, 'subgroup_order': 75, 'subgroup_tex': 'C_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708933
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 75, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '450.29.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '75.3', 'subgroup_hash': 3, 'subgroup_order': 75, 'subgroup_tex': 'C_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708934
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 25, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, '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': '75.3', 'subgroup_hash': 3, 'subgroup_order': 75, 'subgroup_tex': 'C_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708888
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 25, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '450.29.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, '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': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 66708889
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 45, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '450.29.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708890
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 45, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '450.29.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708891
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 9, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708892
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 9, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.10.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708893
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': True, 'centralizer_order': 15, 'characteristic': True, 'core_order': 30, 'counter': 15, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '450.29.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '30.3', 'subgroup_hash': 3, 'subgroup_order': 30, 'subgroup_tex': 'D_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708894
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 15, 'counter': 16, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.15.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.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': 15, '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': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 66708895
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 15, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.15.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, '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': '30.1', 'subgroup_hash': 1, 'subgroup_order': 30, 'subgroup_tex': 'C_5\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 66708896
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 15, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.15.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, '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': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 66708897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 25, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 5, 'label': '450.29.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
  • id: 66708899
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 9, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '450.29.25.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, '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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 66708900
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': True, 'central_factor': False, 'centralizer_order': 450, 'characteristic': True, 'core_order': 15, 'counter': 21, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '450.29.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{15}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708901
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 15, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '450.29.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708902
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 15, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '450.29.30.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708903
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 15, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '450.29.30.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708904
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 3, 'counter': 25, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708905
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 3, 'counter': 26, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708906
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 3, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708907
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 3, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.f1.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708908
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 5, 'counter': 29, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708910
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 5, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.h1.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708911
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.i1.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708912
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.i1.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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708913
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.i1.c1', '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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708914
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.30.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.i1.d1', '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': 30, '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': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 66708915
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 5, 'counter': 35, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.45.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '45.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 66708916
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 5, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.45.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 66708917
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 9, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '450.29.50.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 66708918
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 3, 'counter': 38, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.75.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '75.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 75, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66708919
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 3, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '450.29.75.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 66708921
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': True, 'central_factor': False, 'centralizer_order': 450, 'characteristic': True, 'core_order': 5, 'counter': 40, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '450.29.90.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '90.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '90.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 90, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{15}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 66708922
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 5, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '450.29.90.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '90.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '90.6', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 90, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{15}', 'simple': True, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 66708923
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.90.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.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': 90, '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': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 66708924
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.90.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '90.c1.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': 90, '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': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 66708925
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': True, 'central_factor': False, 'centralizer_order': 450, 'characteristic': True, 'core_order': 3, 'counter': 44, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '450.29.150.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '150.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '150.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 150, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{15}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 66708926
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': True, 'core_order': 3, 'counter': 45, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '450.29.150.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '150.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '150.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 150, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{15}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 66708927
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 225, 'characteristic': False, 'core_order': 1, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '450.29.150.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '150.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': 150, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 66708928
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': 30, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '450.29.225.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '225.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
  • id: 66708929
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '450.29', 'ambient_counter': 29, 'ambient_order': 450, 'ambient_tex': 'C_{15}\\times D_{15}', 'central': True, 'central_factor': False, 'centralizer_order': 450, 'characteristic': True, 'core_order': 1, 'counter': 48, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '450.29.450.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '450.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '450.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 450, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}\\times D_{15}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D2', 'C5'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 66708920
    {'ambient': '450.29', 'aut_centralizer_order': 2, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '160.203', 'aut_weyl_index': 6, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '9.a1.a1', '15.b1.a1', '15.d1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6677, -1, 9191, -1, 7514, -1, 8792, -1], 'generators': [15, 6, 90, 20], 'label': '450.29.3.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '3.b1.a1', 'projective_image': '30.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 66708887
    {'ambient': '450.29', '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': '30.a1.a1', 'complements': ['450.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '3.b1.a1', '5.a1.a1', '5.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7698, 8048, 7744, 8068, 6539, 3617, 7107, 3617], 'generators': [15, 6, 300, 20, 90], 'label': '450.29.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '3.a1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '30.3', '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': '30.3'}
  • id: 66708888
    {'ambient': '450.29', 'aut_centralizer_order': 4, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '80.30', 'aut_weyl_index': 12, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.b1.a1'], 'contains': ['18.a1.a1', '45.a1.a1', '45.b1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6677, -1, 9009, -1, 6699, -1, 8529, -1], 'generators': [15, 90, 6], 'label': '450.29.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '9.a1.a1', 'projective_image': '90.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 66708889
    {'ambient': '450.29', 'aut_centralizer_order': 60, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 60, 'centralizer': '2.a1.a1', 'complements': ['45.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.b1.a1'], 'contains': ['30.a1.a1', '30.c1.a1', '30.g1.a1', '50.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4057, 3479, 6768, 1534, 5278, 6742, 4226, 8997], 'generators': [20, 6, 300], 'label': '450.29.10.a1.a1', 'mobius_quo': -1, 'mobius_sub': 5, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['30.a1.a1', '30.c1.a1', '50.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '30.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708890
    {'ambient': '450.29', 'aut_centralizer_order': 60, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 60, 'centralizer': '2.a1.a1', 'complements': ['45.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['30.b1.a1', '30.d1.a1', '30.h1.a1', '50.a1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5794, 6874, 5612, 6633, 3339, 4488, 5066, 4488], 'generators': [20, 90, 300], 'label': '450.29.10.b1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['30.b1.a1', '30.d1.a1', '50.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '150.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708891
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 60, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['30.e1.a1', '30.f1.a1', '30.i1.a1', '30.i1.b1', '50.a1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [827, -1, 2809, -1, 1401, -1, 1706, -1], 'generators': [20, 186, 300], 'label': '450.29.10.c1.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': '10.c1.a1', 'projective_image': '150.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708892
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 60, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['30.e1.b1', '30.f1.b1', '30.i1.c1', '30.i1.d1', '50.a1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [827, -1, 1020, -1, 1401, -1, 2546, -1], 'generators': [20, 96, 300], 'label': '450.29.10.c1.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': '10.c1.b1', 'projective_image': '150.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708893
    {'ambient': '450.29', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '120.36', 'aut_weyl_index': 8, 'centralizer': '30.a1.a1', 'complements': ['30.a1.a1', '30.e1.b1', '30.e1.a1', '30.g1.a1', '30.i1.c1', '30.i1.b1', '30.i1.a1', '30.i1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.d1.a1', '45.b1.a1', '75.b1.a1'], 'core': '15.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9782, 8303, 6839, 8068, 6027, 491, 7947, 491], 'generators': [15, 90, 300], 'label': '450.29.15.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.a1.a1', 'normal_contained_in': ['3.a1.a1', '5.a1.a1'], 'normal_contains': ['30.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '450.29', 'quotient_action_image': '1.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '30.3'}
  • id: 66708894
    {'ambient': '450.29', 'aut_centralizer_order': 8, 'aut_label': '15.b1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '15.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '5.b1.a1'], 'contains': ['30.a1.a1', '45.a1.a1', '75.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7051, -1, 9831, -1, 9792, -1, 9111, -1], 'generators': [15, 6, 20], 'label': '450.29.15.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.b1.a1', 'old_label': '15.b1.a1', 'projective_image': '30.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708895
    {'ambient': '450.29', 'aut_centralizer_order': 8, 'aut_label': '15.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '24.5', 'aut_weyl_index': 40, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.b1.a1'], 'contains': ['30.c1.a1', '45.a1.a1', '75.b1.a1'], 'core': '30.c1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7748, -1, 7566, -1, 8323, -1, 6674, -1], 'generators': [15, 300, 6], 'label': '450.29.15.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '15.c1.a1', 'projective_image': '90.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66708896
    {'ambient': '450.29', 'aut_centralizer_order': 8, 'aut_label': '15.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '40.12', 'aut_weyl_index': 24, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '5.a1.a1'], 'contains': ['30.b1.a1', '45.b1.a1', '75.a1.a1'], 'core': '30.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8836, -1, 9071, -1, 7514, -1, 9694, -1], 'generators': [15, 90, 20], 'label': '450.29.15.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '15.d1.a1', 'projective_image': '150.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.d1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 66708897
    {'ambient': '450.29', 'aut_centralizer_order': 60, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.2', 'aut_weyl_index': 60, 'centralizer': '2.a1.a1', 'complements': ['25.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '9.a1.a1'], 'contains': ['90.a1.a1', '90.b1.a1', '90.c1.a1', '90.c1.b1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2875, 1514, 3929, 3494, 2792, 5761, 5123, 3409], 'generators': [6, 90], 'label': '450.29.18.a1.a1', 'mobius_quo': 1, 'mobius_sub': -3, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.a1.a1', '6.b1.a1'], 'normal_contains': ['90.a1.a1', '90.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '90.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708898
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.192', 'aut_weyl_index': 15, 'centralizer': '2.a1.a1', 'complements': ['225.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '10.a1.a1', '10.b1.a1', '10.c1.a1', '10.c1.b1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4057, 4978, 4613, 5198, 3339, 5512, 3808, 5512], 'generators': [20, 6, 90, 300], 'label': '450.29.2.a1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.a1', '10.a1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '30.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708899
    {'ambient': '450.29', 'aut_centralizer_order': 16, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '12.4', 'aut_weyl_index': 80, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '5.b1.a1'], 'contains': ['50.a1.a1', '75.a1.a1', '75.b1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9689, -1, 7614, -1, 9126, -1, 7369, -1], 'generators': [15, 20, 300], 'label': '450.29.25.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '25.a1.a1', 'projective_image': '150.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66708900
    {'ambient': '450.29', 'aut_centralizer_order': 120, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '1.a1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.b1.a1'], 'contains': ['90.a1.a1', '150.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3902, 1075, 8884, 497, 5879, 8153, 6468, 8153], 'generators': [20, 6], 'label': '450.29.30.a1.a1', 'mobius_quo': 1, 'mobius_sub': -15, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1'], 'normal_contains': ['90.a1.a1', '150.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '30.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '30.3', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708901
    {'ambient': '450.29', 'aut_centralizer_order': 120, 'aut_label': '30.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': ['15.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.b1.a1', '15.d1.a1'], 'contains': ['90.b1.a1', '150.a1.a1'], 'core': '30.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5718, 4371, 6287, 6620, 4832, 6936, 6921, 4585], 'generators': [20, 90], 'label': '450.29.30.b1.a1', 'mobius_quo': 1, 'mobius_sub': -3, 'normal_closure': '30.b1.a1', 'normal_contained_in': ['6.a1.a1', '10.b1.a1'], 'normal_contains': ['90.b1.a1', '150.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '150.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708902
    {'ambient': '450.29', 'aut_centralizer_order': 120, 'aut_label': '30.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': ['15.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.a1.a1', '15.c1.a1'], 'contains': ['90.a1.a1', '150.b1.a1'], 'core': '30.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5040, 3126, 6710, 1747, 5355, 3451, 5560, 5802], 'generators': [300, 6], 'label': '450.29.30.c1.a1', 'mobius_quo': 1, 'mobius_sub': -5, 'normal_closure': '30.c1.a1', 'normal_contained_in': ['6.b1.a1', '10.a1.a1'], 'normal_contains': ['90.a1.a1', '150.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.c1.a1', 'projective_image': '90.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708903
    {'ambient': '450.29', 'aut_centralizer_order': 120, 'aut_label': '30.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': ['15.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['90.b1.a1', '150.b1.a1'], 'core': '30.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6266, 6959, 5681, 7870, 3821, 2234, 6014, 2234], 'generators': [300, 90], 'label': '450.29.30.d1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '30.d1.a1', 'normal_contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'normal_contains': ['90.b1.a1', '150.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.d1.a1', 'projective_image': '450.29', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708904
    {'ambient': '450.29', 'aut_centralizer_order': 30, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.c1.a1'], 'contains': ['90.c1.a1', '150.a1.a1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [766, -1, 3863, -1, 3298, -1, 3355, -1], 'generators': [20, 186], 'label': '450.29.30.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.e1.a1', 'projective_image': '150.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708905
    {'ambient': '450.29', 'aut_centralizer_order': 30, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.c1.b1'], 'contains': ['90.c1.b1', '150.a1.a1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [766, -1, 2467, -1, 3298, -1, 4684, -1], 'generators': [20, 96], 'label': '450.29.30.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.e1.b1', 'projective_image': '150.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708906
    {'ambient': '450.29', 'aut_centralizer_order': 30, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.c1.a1'], 'contains': ['90.c1.a1', '150.b1.a1'], 'core': '150.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1313, -1, 2891, -1, 2287, -1, 1994, -1], 'generators': [300, 186], 'label': '450.29.30.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.f1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708907
    {'ambient': '450.29', 'aut_centralizer_order': 30, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.c1.b1'], 'contains': ['90.c1.b1', '150.b1.a1'], 'core': '150.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1313, -1, 1015, -1, 2287, -1, 3808, -1], 'generators': [300, 96], 'label': '450.29.30.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.f1.b1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708908
    {'ambient': '450.29', 'aut_centralizer_order': 60, 'aut_label': '30.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.a1.a1'], 'contains': ['90.a1.a1', '150.c1.a1'], 'core': '90.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2097, -1, 5257, -1, 1763, -1, 2448, -1], 'generators': [320, 6], 'label': '450.29.30.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.g1.a1', 'projective_image': '90.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708909
    {'ambient': '450.29', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.994', 'aut_weyl_index': 2, 'centralizer': '30.a1.a1', 'complements': ['150.a1.a1', '150.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.a1', '9.a1.a1', '15.a1.a1', '15.c1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7698, 8048, 7257, 8068, 5564, 1349, 6267, 1349], 'generators': [15, 300, 90, 6], 'label': '450.29.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.b1.a1', '15.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '90.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '30.3'}
  • id: 66708910
    {'ambient': '450.29', 'aut_centralizer_order': 60, 'aut_label': '30.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.b1.a1'], 'contains': ['90.b1.a1', '150.c1.a1'], 'core': '90.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2645, -1, 4285, -1, 1240, -1, 2901, -1], 'generators': [320, 90], 'label': '450.29.30.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.h1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708911
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '30.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.c1.a1'], 'contains': ['90.c1.a1', '150.c1.a1'], 'core': '450.a1.a1', 'coset_action_label': '30T104', 'count': 2, 'diagramx': [218, -1, 2044, -1, 717, -1, 634, -1], 'generators': [320, 276], 'label': '450.29.30.i1.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': '30.i1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708912
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '30.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.c1.a1'], 'contains': ['90.c1.a1', '150.c1.a1'], 'core': '450.a1.a1', 'coset_action_label': '30T104', 'count': 2, 'diagramx': [218, -1, 1438, -1, 717, -1, 180, -1], 'generators': [320, 186], 'label': '450.29.30.i1.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': '30.i1.b1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.i1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708913
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '30.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.c1.b1'], 'contains': ['90.c1.b1', '150.c1.a1'], 'core': '450.a1.a1', 'coset_action_label': '30T104', 'count': 2, 'diagramx': [218, -1, 592, -1, 717, -1, 1087, -1], 'generators': [320, 96], 'label': '450.29.30.i1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.i1.c1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.i1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708914
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '30.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.c1.b1'], 'contains': ['90.c1.b1', '150.c1.a1'], 'core': '450.a1.a1', 'coset_action_label': '30T104', 'count': 2, 'diagramx': [218, -1, 169, -1, 717, -1, 1541, -1], 'generators': [320, 366], 'label': '450.29.30.i1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '30.i1.d1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.i1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708915
    {'ambient': '450.29', 'aut_centralizer_order': 16, 'aut_label': '45.a1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240, 'centralizer': '15.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '15.b1.a1', '15.c1.a1'], 'contains': ['90.a1.a1', '225.a1.a1'], 'core': '90.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [6895, -1, 9514, -1, 7258, -1, 7746, -1], 'generators': [15, 6], 'label': '450.29.45.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.b1.a1', 'old_label': '45.a1.a1', 'projective_image': '90.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708916
    {'ambient': '450.29', 'aut_centralizer_order': 16, 'aut_label': '45.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '20.3', 'aut_weyl_index': 48, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '15.a1.a1', '15.d1.a1'], 'contains': ['90.b1.a1', '225.a1.a1'], 'core': '90.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8345, -1, 8114, -1, 6354, -1, 8529, -1], 'generators': [15, 90], 'label': '450.29.45.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '15.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '45.b1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 66708917
    {'ambient': '450.29', 'aut_centralizer_order': 240, 'aut_label': '50.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 240, 'centralizer': '2.a1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '10.b1.a1', '10.c1.a1', '10.c1.b1', '25.a1.a1'], 'contains': ['150.a1.a1', '150.b1.a1', '150.c1.a1'], 'core': '50.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4668, 5304, 4425, 4445, 4326, 4626, 4246, 6978], 'generators': [20, 300], 'label': '450.29.50.a1.a1', 'mobius_quo': 1, 'mobius_sub': -5, 'normal_closure': '50.a1.a1', 'normal_contained_in': ['10.a1.a1', '10.b1.a1'], 'normal_contains': ['150.a1.a1', '150.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '50.a1.a1', 'projective_image': '150.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708918
    {'ambient': '450.29', 'aut_centralizer_order': 32, 'aut_label': '75.a1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '2.1', 'aut_weyl_index': 480, 'centralizer': '15.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15.b1.a1', '15.d1.a1', '25.a1.a1'], 'contains': ['150.a1.a1', '225.a1.a1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [8245, -1, 8927, -1, 7734, -1, 8158, -1], 'generators': [15, 20], 'label': '450.29.75.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.b1.a1', 'old_label': '75.a1.a1', 'projective_image': '150.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708919
    {'ambient': '450.29', 'aut_centralizer_order': 32, 'aut_label': '75.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '6.1', 'aut_weyl_index': 160, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15.a1.a1', '15.c1.a1', '25.a1.a1'], 'contains': ['150.b1.a1', '225.a1.a1'], 'core': '150.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8693, -1, 6864, -1, 6783, -1, 7333, -1], 'generators': [15, 300], 'label': '450.29.75.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '15.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '75.b1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66708921
    {'ambient': '450.29', 'aut_centralizer_order': 240, 'aut_label': '90.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '30.a1.a1', '30.c1.a1', '30.g1.a1', '45.a1.a1'], 'contains': ['450.a1.a1'], 'core': '90.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3467, 382, 7345, 1960, 4678, 5802, 5159, 5844], 'generators': [6], 'label': '450.29.90.a1.a1', 'mobius_quo': -1, 'mobius_sub': 15, 'normal_closure': '90.a1.a1', 'normal_contained_in': ['18.a1.a1', '30.a1.a1', '30.c1.a1'], 'normal_contains': ['450.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '90.a1.a1', 'projective_image': '90.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '90.7', 'quotient_action_kernel_order': 90, 'quotient_fusion': None, 'short_label': '90.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708922
    {'ambient': '450.29', 'aut_centralizer_order': 240, 'aut_label': '90.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240, 'centralizer': '2.a1.a1', 'complements': ['5.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '30.b1.a1', '30.d1.a1', '30.h1.a1', '45.b1.a1'], 'contains': ['450.a1.a1'], 'core': '90.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5943, 4625, 5594, 5923, 3821, 4806, 5942, 3658], 'generators': [90], 'label': '450.29.90.b1.a1', 'mobius_quo': -1, 'mobius_sub': 3, 'normal_closure': '90.b1.a1', 'normal_contained_in': ['18.a1.a1', '30.b1.a1', '30.d1.a1'], 'normal_contains': ['450.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '90.b1.a1', 'projective_image': '450.29', 'quotient_action_image': '2.1', 'quotient_action_kernel': '45.2', 'quotient_action_kernel_order': 45, 'quotient_fusion': None, 'short_label': '90.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708923
    {'ambient': '450.29', 'aut_centralizer_order': 60, 'aut_label': '90.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '30.e1.a1', '30.f1.a1', '30.i1.a1', '30.i1.b1'], 'contains': ['450.a1.a1'], 'core': '450.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1245, -1, 2694, -1, 2792, -1, 3087, -1], 'generators': [186], 'label': '450.29.90.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '90.c1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708924
    {'ambient': '450.29', 'aut_centralizer_order': 60, 'aut_label': '90.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '30.e1.b1', '30.f1.b1', '30.i1.c1', '30.i1.d1'], 'contains': ['450.a1.a1'], 'core': '450.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1245, -1, 1231, -1, 2792, -1, 4112, -1], 'generators': [96], 'label': '450.29.90.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '90.c1.b1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708925
    {'ambient': '450.29', 'aut_centralizer_order': 480, 'aut_label': '150.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 480, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['30.a1.a1', '30.b1.a1', '30.e1.a1', '30.e1.b1', '50.a1.a1', '75.a1.a1'], 'contains': ['450.a1.a1'], 'core': '150.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4767, 2886, 5089, 3438, 5106, 6881, 5530, 6922], 'generators': [20], 'label': '450.29.150.a1.a1', 'mobius_quo': -1, 'mobius_sub': 15, 'normal_closure': '150.a1.a1', 'normal_contained_in': ['30.a1.a1', '30.b1.a1', '50.a1.a1'], 'normal_contains': ['450.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '150.a1.a1', 'projective_image': '150.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '150.11', 'quotient_action_kernel_order': 150, 'quotient_fusion': None, 'short_label': '150.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708926
    {'ambient': '450.29', 'aut_centralizer_order': 480, 'aut_label': '150.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 480, 'centralizer': '2.a1.a1', 'complements': ['3.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['30.c1.a1', '30.d1.a1', '30.f1.a1', '30.f1.b1', '50.a1.a1', '75.b1.a1'], 'contains': ['450.a1.a1'], 'core': '150.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5358, 4936, 4559, 4488, 4249, 3658, 4788, 4848], 'generators': [300], 'label': '450.29.150.b1.a1', 'mobius_quo': -1, 'mobius_sub': 5, 'normal_closure': '150.b1.a1', 'normal_contained_in': ['30.c1.a1', '30.d1.a1', '50.a1.a1'], 'normal_contains': ['450.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '150.b1.a1', 'projective_image': '450.29', 'quotient_action_image': '2.1', 'quotient_action_kernel': '75.3', 'quotient_action_kernel_order': 75, 'quotient_fusion': None, 'short_label': '150.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708927
    {'ambient': '450.29', 'aut_centralizer_order': 240, 'aut_label': '150.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 480, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['30.g1.a1', '30.h1.a1', '30.i1.a1', '30.i1.b1', '30.i1.c1', '30.i1.d1', '50.a1.a1'], 'contains': ['450.a1.a1'], 'core': '450.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2483, -1, 2717, -1, 1763, -1, 1994, -1], 'generators': [320], 'label': '450.29.150.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '50.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '150.c1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708928
    {'ambient': '450.29', 'aut_centralizer_order': 64, 'aut_label': '225.a1', 'aut_quo_index': None, 'aut_stab_index': 15, 'aut_weyl_group': '1.1', 'aut_weyl_index': 960, 'centralizer': '15.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['45.a1.a1', '45.b1.a1', '75.a1.a1', '75.b1.a1'], 'contains': ['450.a1.a1'], 'core': '450.a1.a1', 'coset_action_label': None, 'count': 15, 'diagramx': [7903, -1, 9009, -1, 6783, -1, 7746, -1], 'generators': [15], 'label': '450.29.225.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '15.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15.b1.a1', 'old_label': '225.a1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708929
    {'ambient': '450.29', 'aut_centralizer_order': None, 'aut_label': '450.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': ['90.a1.a1', '90.b1.a1', '90.c1.a1', '90.c1.b1', '150.a1.a1', '150.b1.a1', '150.c1.a1', '225.a1.a1'], 'contains': [], 'core': '450.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4767, 3013, 4695, 3963, 4249, 5304, 4973, 5346], 'generators': [], 'label': '450.29.450.a1.a1', 'mobius_quo': 1, 'mobius_sub': -15, 'normal_closure': '450.a1.a1', 'normal_contained_in': ['90.a1.a1', '90.b1.a1', '150.a1.a1', '150.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '450.a1.a1', 'projective_image': '450.29', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '450.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66708930
    {'ambient': '450.29', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '240.195', 'aut_weyl_index': 4, 'centralizer': '30.a1.a1', 'complements': ['90.a1.a1', '90.c1.b1', '90.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.b1.a1', '15.a1.a1', '15.d1.a1', '25.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9745, 9618, 7744, 9503, 6539, 3617, 7947, 3617], 'generators': [15, 300, 90, 20], 'label': '450.29.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.b1.a1', '15.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '150.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '30.3'}
  • id: 66708931
    {'ambient': '450.29', 'aut_centralizer_order': 4, 'aut_label': '5.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '48.35', 'aut_weyl_index': 20, 'centralizer': '30.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '15.b1.a1', '15.c1.a1', '25.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8326, -1, 8528, -1, 8483, -1, 7107, -1], 'generators': [15, 6, 300, 20], 'label': '450.29.5.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1.a1', 'old_label': '5.b1.a1', 'projective_image': '30.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66708932
    {'ambient': '450.29', 'aut_centralizer_order': 30, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.21', 'aut_weyl_index': 30, 'centralizer': '2.a1.a1', 'complements': ['75.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.a1'], 'contains': ['18.a1.a1', '30.a1.a1', '30.b1.a1', '30.e1.a1', '30.e1.b1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3391, 1245, 5267, 2883, 4308, 8997, 5906, 6742], 'generators': [20, 90, 6], 'label': '450.29.6.a1.a1', 'mobius_quo': -1, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['18.a1.a1', '30.a1.a1', '30.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '30.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708933
    {'ambient': '450.29', 'aut_centralizer_order': 30, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.21', 'aut_weyl_index': 30, 'centralizer': '2.a1.a1', 'complements': ['75.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['18.a1.a1', '30.c1.a1', '30.d1.a1', '30.f1.a1', '30.f1.b1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4779, 4978, 4483, 5198, 2370, 2234, 3386, 2234], 'generators': [300, 90, 6], 'label': '450.29.6.b1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['18.a1.a1', '30.c1.a1', '30.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '90.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66708934
    {'ambient': '450.29', 'aut_centralizer_order': 15, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.21', 'aut_weyl_index': 30, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['18.a1.a1', '30.g1.a1', '30.h1.a1', '30.i1.a1', '30.i1.b1', '30.i1.c1', '30.i1.d1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1693, -1, 2088, -1, 431, -1, 866, -1], 'generators': [320, 90, 6], 'label': '450.29.6.c1.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': '6.c1.a1', 'projective_image': '90.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}