Abstract group data - 288.369

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '144.113', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 4], 'aut_gens': [[1, 2, 4, 8], [1, 2, 4, 9], [1, 3, 4, 9], [1, 7, 4, 13], [1, 2, 5, 8], [145, 2, 148, 8], [1, 2, 148, 8], [1, 2, 4, 232], [1, 2, 4, 152], [1, 146, 4, 152], [1, 218, 4, 152], [1, 2, 4, 13], [5, 2, 4, 8], [1, 2, 4, 10]], 'aut_group': '55296.fa', 'aut_hash': 2020072464884322456, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 55296, 'aut_permdeg': 30, 'aut_perms': [8863943050004772946878029854800, 8864346315562792227144834508806, 137075767310640495368523931903014, 1321086776406, 925962187662662519654199866304, 2881225692288, 2286403436586126513, 18598592366727707032429860470880, 18601823662111237526741909272608, 18599400136809080248523476034568, 137070503048145004323452014837680, 4279954922227329924930608972190, 54946525212990243349769323018080], 'aut_phi_ratio': 576.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [3, 1, 2, 1], [4, 2, 12, 1], [6, 1, 2, 1], [6, 1, 12, 1], [9, 1, 6, 1], [12, 2, 24, 1], [18, 1, 6, 1], [18, 1, 36, 1], [36, 2, 72, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^7.C_6^2:D_6', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': None, 'autcent_hash': 81491427880784167, 'autcent_nilpotent': False, 'autcent_order': 9216, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_6\\times C_2^6.S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 1, 2], [4, 2, 12], [6, 1, 14], [9, 1, 6], [12, 2, 24], [18, 1, 42], [36, 2, 72]], 'center_label': '72.18', 'center_order': 72, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 369, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['8.4', 1], ['9.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 1, 2, 1], [4, 2, 1, 12], [6, 1, 2, 7], [9, 1, 6, 1], [12, 2, 2, 12], [18, 1, 6, 7], [36, 2, 6, 12]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 37800, 'exponent': 36, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '6.2', 'frattini_quotient': '48.52', 'hash': 369, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [1, 2, 1, 2], 'inner_gens': [[1, 2, 4, 8], [1, 2, 4, 152], [1, 2, 4, 8], [1, 146, 4, 8]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': False, 'inner_tex': 'C_2^2', 'inner_used': [2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 144], [2, 36]], 'label': '288.369', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C36.C2^3', 'ngens': 7, 'nilpotency_class': 2, 'nilpotent': True, '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': 12, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 180, 'number_divisions': 60, 'number_normal_subgroups': 234, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 234, 'number_subgroups': 234, 'old_label': None, 'order': 288, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 24], [6, 14], [9, 6], [12, 48], [18, 42], [36, 144]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [12, 6, 12, 6], 'outer_gen_pows': [0, 8, 10, 0], 'outer_gens': [[145, 218, 149, 87], [5, 74, 1, 8], [145, 77, 5, 258], [1, 223, 5, 135]], 'outer_group': None, 'outer_hash': 550435044931578972, 'outer_nilpotent': False, 'outer_order': 13824, 'outer_permdeg': 17, 'outer_perms': [128265655080240, 21378879254881, 68173982684688, 152064326938350], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^6.C_3^3.C_2^3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 9], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 20], [4, 4], [6, 16], [12, 4]], 'representations': {'PC': {'code': 1536916802240060071171, 'gens': [1, 2, 3, 4], 'pres': [7, -2, -2, -2, -2, -2, -3, -3, 1016, 2138, 80, 102, 166]}, 'GLZN': {'d': 2, 'p': 57, 'gens': [248027, 1296376, 185200, 6852178, 3703880, 310841, 10370828]}, 'Perm': {'d': 21, 'gens': [2702889776069683200, 5245011363293049600, 7817361151279680000, 482630400, 357120, 7817361150241843200, 80884]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 18], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{36}.C_2^3', 'transitive_degree': 288, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 103716449
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 369, 'group_order': 288, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 103716541
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 369, 'group_order': 288, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 4, 'size': 1}
  • id: 103716552
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 369, 'group_order': 288, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 148, 'size': 1}
  • id: 103716563
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 369, 'group_order': 288, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1, 'size': 1}
  • id: 103716574
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 369, 'group_order': 288, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 145, 'size': 1}
  • id: 103716585
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 369, 'group_order': 288, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 5, 'size': 1}
  • id: 103716596
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 369, 'group_order': 288, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 149, 'size': 1}
  • id: 103716607
    {'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 369, 'group_order': 288, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 144, 'size': 1}
  • id: 103716618
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 369, 'group_order': 288, 'label': '3A1', 'order': 3, 'powers': [10, 1], 'representative': 192, 'size': 1}
  • id: 103716450
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 369, 'group_order': 288, 'label': '3A-1', 'order': 3, 'powers': [9, 1], 'representative': 96, 'size': 1}
  • id: 103716461
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 11, 'group_counter': 369, 'group_order': 288, 'label': '4A', 'order': 4, 'powers': [8, 11], 'representative': 72, 'size': 2}
  • id: 103716472
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 12, 'group_counter': 369, 'group_order': 288, 'label': '4B', 'order': 4, 'powers': [8, 12], 'representative': 76, 'size': 2}
  • id: 103716483
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 13, 'group_counter': 369, 'group_order': 288, 'label': '4C', 'order': 4, 'powers': [8, 13], 'representative': 2, 'size': 2}
  • id: 103716494
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 14, 'group_counter': 369, 'group_order': 288, 'label': '4D', 'order': 4, 'powers': [8, 14], 'representative': 74, 'size': 2}
  • id: 103716505
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 15, 'group_counter': 369, 'group_order': 288, 'label': '4E', 'order': 4, 'powers': [8, 15], 'representative': 73, 'size': 2}
  • id: 103716516
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 16, 'group_counter': 369, 'group_order': 288, 'label': '4F', 'order': 4, 'powers': [8, 16], 'representative': 6, 'size': 2}
  • id: 103716527
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 17, 'group_counter': 369, 'group_order': 288, 'label': '4G', 'order': 4, 'powers': [8, 17], 'representative': 78, 'size': 2}
  • id: 103716538
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 18, 'group_counter': 369, 'group_order': 288, 'label': '4H', 'order': 4, 'powers': [8, 18], 'representative': 77, 'size': 2}
  • id: 103716540
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 19, 'group_counter': 369, 'group_order': 288, 'label': '4I', 'order': 4, 'powers': [8, 19], 'representative': 3, 'size': 2}
  • id: 103716542
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 20, 'group_counter': 369, 'group_order': 288, 'label': '4J', 'order': 4, 'powers': [8, 20], 'representative': 75, 'size': 2}
  • id: 103716543
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 21, 'group_counter': 369, 'group_order': 288, 'label': '4K', 'order': 4, 'powers': [8, 21], 'representative': 7, 'size': 2}
  • id: 103716544
    {'aut_label': '4A', 'centralizer': '2.b1', 'counter': 22, 'group_counter': 369, 'group_order': 288, 'label': '4L', 'order': 4, 'powers': [8, 22], 'representative': 79, 'size': 2}
  • id: 103716545
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 369, 'group_order': 288, 'label': '6A1', 'order': 6, 'powers': [9, 2], 'representative': 100, 'size': 1}
  • id: 103716546
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 369, 'group_order': 288, 'label': '6A-1', 'order': 6, 'powers': [10, 2], 'representative': 196, 'size': 1}
  • id: 103716547
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 369, 'group_order': 288, 'label': '6B1', 'order': 6, 'powers': [10, 3], 'representative': 52, 'size': 1}
  • id: 103716548
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 369, 'group_order': 288, 'label': '6B-1', 'order': 6, 'powers': [9, 3], 'representative': 244, 'size': 1}
  • id: 103716549
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 369, 'group_order': 288, 'label': '6C1', 'order': 6, 'powers': [9, 4], 'representative': 97, 'size': 1}
  • id: 103716550
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 369, 'group_order': 288, 'label': '6C-1', 'order': 6, 'powers': [10, 4], 'representative': 193, 'size': 1}
  • id: 103716551
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 369, 'group_order': 288, 'label': '6D1', 'order': 6, 'powers': [10, 5], 'representative': 49, 'size': 1}
  • id: 103716553
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 369, 'group_order': 288, 'label': '6D-1', 'order': 6, 'powers': [9, 5], 'representative': 241, 'size': 1}
  • id: 103716554
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 369, 'group_order': 288, 'label': '6E1', 'order': 6, 'powers': [9, 6], 'representative': 101, 'size': 1}
  • id: 103716555
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 369, 'group_order': 288, 'label': '6E-1', 'order': 6, 'powers': [10, 6], 'representative': 197, 'size': 1}
  • id: 103716556
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 369, 'group_order': 288, 'label': '6F1', 'order': 6, 'powers': [10, 7], 'representative': 53, 'size': 1}
  • id: 103716557
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 369, 'group_order': 288, 'label': '6F-1', 'order': 6, 'powers': [9, 7], 'representative': 245, 'size': 1}
  • id: 103716558
    {'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 369, 'group_order': 288, 'label': '6G1', 'order': 6, 'powers': [10, 8], 'representative': 48, 'size': 1}
  • id: 103716559
    {'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 369, 'group_order': 288, 'label': '6G-1', 'order': 6, 'powers': [9, 8], 'representative': 240, 'size': 1}
  • id: 103716560
    {'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 369, 'group_order': 288, 'label': '9A1', 'order': 9, 'powers': [39, 9], 'representative': 64, 'size': 1}
  • id: 103716561
    {'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 369, 'group_order': 288, 'label': '9A-1', 'order': 9, 'powers': [40, 10], 'representative': 224, 'size': 1}
  • id: 103716562
    {'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 369, 'group_order': 288, 'label': '9A2', 'order': 9, 'powers': [41, 10], 'representative': 128, 'size': 1}
  • id: 103716564
    {'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 369, 'group_order': 288, 'label': '9A-2', 'order': 9, 'powers': [42, 9], 'representative': 160, 'size': 1}
  • id: 103716565
    {'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 369, 'group_order': 288, 'label': '9A4', 'order': 9, 'powers': [38, 9], 'representative': 256, 'size': 1}
  • id: 103716566
    {'aut_label': '9A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 369, 'group_order': 288, 'label': '9A-4', 'order': 9, 'powers': [37, 10], 'representative': 32, 'size': 1}
  • id: 103716567
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 43, 'group_counter': 369, 'group_order': 288, 'label': '12A1', 'order': 12, 'powers': [35, 11], 'representative': 24, 'size': 2}
  • id: 103716568
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 44, 'group_counter': 369, 'group_order': 288, 'label': '12A-1', 'order': 12, 'powers': [36, 11], 'representative': 264, 'size': 2}
  • id: 103716569
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 45, 'group_counter': 369, 'group_order': 288, 'label': '12B1', 'order': 12, 'powers': [35, 12], 'representative': 28, 'size': 2}
  • id: 103716570
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 46, 'group_counter': 369, 'group_order': 288, 'label': '12B-1', 'order': 12, 'powers': [36, 12], 'representative': 268, 'size': 2}
  • id: 103716571
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 47, 'group_counter': 369, 'group_order': 288, 'label': '12C1', 'order': 12, 'powers': [35, 13], 'representative': 242, 'size': 2}
  • id: 103716572
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 48, 'group_counter': 369, 'group_order': 288, 'label': '12C-1', 'order': 12, 'powers': [36, 13], 'representative': 194, 'size': 2}
  • id: 103716573
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 49, 'group_counter': 369, 'group_order': 288, 'label': '12D1', 'order': 12, 'powers': [35, 14], 'representative': 26, 'size': 2}
  • id: 103716575
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 50, 'group_counter': 369, 'group_order': 288, 'label': '12D-1', 'order': 12, 'powers': [36, 14], 'representative': 266, 'size': 2}
  • id: 103716576
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 51, 'group_counter': 369, 'group_order': 288, 'label': '12E1', 'order': 12, 'powers': [35, 15], 'representative': 25, 'size': 2}
  • id: 103716577
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 52, 'group_counter': 369, 'group_order': 288, 'label': '12E-1', 'order': 12, 'powers': [36, 15], 'representative': 265, 'size': 2}
  • id: 103716578
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 53, 'group_counter': 369, 'group_order': 288, 'label': '12F1', 'order': 12, 'powers': [35, 16], 'representative': 246, 'size': 2}
  • id: 103716579
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 54, 'group_counter': 369, 'group_order': 288, 'label': '12F-1', 'order': 12, 'powers': [36, 16], 'representative': 198, 'size': 2}
  • id: 103716580
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 55, 'group_counter': 369, 'group_order': 288, 'label': '12G1', 'order': 12, 'powers': [35, 17], 'representative': 30, 'size': 2}
  • id: 103716581
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 56, 'group_counter': 369, 'group_order': 288, 'label': '12G-1', 'order': 12, 'powers': [36, 17], 'representative': 270, 'size': 2}
  • id: 103716582
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 57, 'group_counter': 369, 'group_order': 288, 'label': '12H1', 'order': 12, 'powers': [35, 18], 'representative': 29, 'size': 2}
  • id: 103716583
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 58, 'group_counter': 369, 'group_order': 288, 'label': '12H-1', 'order': 12, 'powers': [36, 18], 'representative': 269, 'size': 2}
  • id: 103716584
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 59, 'group_counter': 369, 'group_order': 288, 'label': '12I1', 'order': 12, 'powers': [35, 19], 'representative': 243, 'size': 2}
  • id: 103716586
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 60, 'group_counter': 369, 'group_order': 288, 'label': '12I-1', 'order': 12, 'powers': [36, 19], 'representative': 195, 'size': 2}
  • id: 103716587
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 61, 'group_counter': 369, 'group_order': 288, 'label': '12J1', 'order': 12, 'powers': [35, 20], 'representative': 27, 'size': 2}
  • id: 103716588
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 62, 'group_counter': 369, 'group_order': 288, 'label': '12J-1', 'order': 12, 'powers': [36, 20], 'representative': 267, 'size': 2}
  • id: 103716589
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 63, 'group_counter': 369, 'group_order': 288, 'label': '12K1', 'order': 12, 'powers': [35, 21], 'representative': 247, 'size': 2}
  • id: 103716590
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 64, 'group_counter': 369, 'group_order': 288, 'label': '12K-1', 'order': 12, 'powers': [36, 21], 'representative': 199, 'size': 2}
  • id: 103716591
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 65, 'group_counter': 369, 'group_order': 288, 'label': '12L1', 'order': 12, 'powers': [35, 22], 'representative': 31, 'size': 2}
  • id: 103716592
    {'aut_label': '12A1', 'centralizer': '2.b1', 'counter': 66, 'group_counter': 369, 'group_order': 288, 'label': '12L-1', 'order': 12, 'powers': [36, 22], 'representative': 271, 'size': 2}
  • id: 103716593
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 369, 'group_order': 288, 'label': '18A1', 'order': 18, 'powers': [37, 23], 'representative': 36, 'size': 1}
  • id: 103716594
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 369, 'group_order': 288, 'label': '18A-1', 'order': 18, 'powers': [38, 24], 'representative': 260, 'size': 1}
  • id: 103716595
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 369, 'group_order': 288, 'label': '18A5', 'order': 18, 'powers': [42, 24], 'representative': 164, 'size': 1}
  • id: 103716597
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 369, 'group_order': 288, 'label': '18A-5', 'order': 18, 'powers': [41, 23], 'representative': 132, 'size': 1}
  • id: 103716598
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 369, 'group_order': 288, 'label': '18A7', 'order': 18, 'powers': [40, 23], 'representative': 228, 'size': 1}
  • id: 103716599
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 369, 'group_order': 288, 'label': '18A-7', 'order': 18, 'powers': [39, 24], 'representative': 68, 'size': 1}
  • id: 103716600
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 369, 'group_order': 288, 'label': '18B1', 'order': 18, 'powers': [42, 25], 'representative': 20, 'size': 1}
  • id: 103716601
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 369, 'group_order': 288, 'label': '18B-1', 'order': 18, 'powers': [41, 26], 'representative': 276, 'size': 1}
  • id: 103716602
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 369, 'group_order': 288, 'label': '18B5', 'order': 18, 'powers': [40, 26], 'representative': 84, 'size': 1}
  • id: 103716603
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 369, 'group_order': 288, 'label': '18B-5', 'order': 18, 'powers': [39, 25], 'representative': 212, 'size': 1}
  • id: 103716604
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 369, 'group_order': 288, 'label': '18B7', 'order': 18, 'powers': [38, 25], 'representative': 116, 'size': 1}
  • id: 103716605
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 369, 'group_order': 288, 'label': '18B-7', 'order': 18, 'powers': [37, 26], 'representative': 180, 'size': 1}
  • id: 103716606
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 369, 'group_order': 288, 'label': '18C1', 'order': 18, 'powers': [37, 27], 'representative': 33, 'size': 1}
  • id: 103716608
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 369, 'group_order': 288, 'label': '18C-1', 'order': 18, 'powers': [38, 28], 'representative': 257, 'size': 1}
  • id: 103716609
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 369, 'group_order': 288, 'label': '18C5', 'order': 18, 'powers': [42, 28], 'representative': 161, 'size': 1}
  • id: 103716610
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 369, 'group_order': 288, 'label': '18C-5', 'order': 18, 'powers': [41, 27], 'representative': 129, 'size': 1}
  • id: 103716611
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 369, 'group_order': 288, 'label': '18C7', 'order': 18, 'powers': [40, 27], 'representative': 225, 'size': 1}
  • id: 103716612
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 369, 'group_order': 288, 'label': '18C-7', 'order': 18, 'powers': [39, 28], 'representative': 65, 'size': 1}
  • id: 103716613
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 369, 'group_order': 288, 'label': '18D1', 'order': 18, 'powers': [42, 29], 'representative': 17, 'size': 1}
  • id: 103716614
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 369, 'group_order': 288, 'label': '18D-1', 'order': 18, 'powers': [41, 30], 'representative': 273, 'size': 1}
  • id: 103716615
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 369, 'group_order': 288, 'label': '18D5', 'order': 18, 'powers': [40, 30], 'representative': 81, 'size': 1}
  • id: 103716616
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 369, 'group_order': 288, 'label': '18D-5', 'order': 18, 'powers': [39, 29], 'representative': 209, 'size': 1}
  • id: 103716617
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 369, 'group_order': 288, 'label': '18D7', 'order': 18, 'powers': [38, 29], 'representative': 113, 'size': 1}
  • id: 103716619
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 369, 'group_order': 288, 'label': '18D-7', 'order': 18, 'powers': [37, 30], 'representative': 177, 'size': 1}
  • id: 103716620
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 369, 'group_order': 288, 'label': '18E1', 'order': 18, 'powers': [37, 31], 'representative': 37, 'size': 1}
  • id: 103716621
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 369, 'group_order': 288, 'label': '18E-1', 'order': 18, 'powers': [38, 32], 'representative': 261, 'size': 1}
  • id: 103716622
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 369, 'group_order': 288, 'label': '18E5', 'order': 18, 'powers': [42, 32], 'representative': 165, 'size': 1}
  • id: 103716623
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 369, 'group_order': 288, 'label': '18E-5', 'order': 18, 'powers': [41, 31], 'representative': 133, 'size': 1}
  • id: 103716624
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 369, 'group_order': 288, 'label': '18E7', 'order': 18, 'powers': [40, 31], 'representative': 229, 'size': 1}
  • id: 103716625
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 369, 'group_order': 288, 'label': '18E-7', 'order': 18, 'powers': [39, 32], 'representative': 69, 'size': 1}
  • id: 103716626
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 369, 'group_order': 288, 'label': '18F1', 'order': 18, 'powers': [42, 33], 'representative': 21, 'size': 1}
  • id: 103716627
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 369, 'group_order': 288, 'label': '18F-1', 'order': 18, 'powers': [41, 34], 'representative': 277, 'size': 1}
  • id: 103716628
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 369, 'group_order': 288, 'label': '18F5', 'order': 18, 'powers': [40, 34], 'representative': 85, 'size': 1}
  • id: 103716451
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 369, 'group_order': 288, 'label': '18F-5', 'order': 18, 'powers': [39, 33], 'representative': 213, 'size': 1}
  • id: 103716452
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 369, 'group_order': 288, 'label': '18F7', 'order': 18, 'powers': [38, 33], 'representative': 117, 'size': 1}
  • id: 103716453
    {'aut_label': '18A1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 369, 'group_order': 288, 'label': '18F-7', 'order': 18, 'powers': [37, 34], 'representative': 181, 'size': 1}
  • id: 103716454
    {'aut_label': '18G1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 369, 'group_order': 288, 'label': '18G1', 'order': 18, 'powers': [42, 35], 'representative': 16, 'size': 1}
  • id: 103716455
    {'aut_label': '18G1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 369, 'group_order': 288, 'label': '18G-1', 'order': 18, 'powers': [41, 36], 'representative': 272, 'size': 1}
  • id: 103716456
    {'aut_label': '18G1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 369, 'group_order': 288, 'label': '18G5', 'order': 18, 'powers': [40, 36], 'representative': 80, 'size': 1}
  • id: 103716457
    {'aut_label': '18G1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 369, 'group_order': 288, 'label': '18G-5', 'order': 18, 'powers': [39, 35], 'representative': 208, 'size': 1}
  • id: 103716458
    {'aut_label': '18G1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 369, 'group_order': 288, 'label': '18G7', 'order': 18, 'powers': [38, 35], 'representative': 112, 'size': 1}
  • id: 103716459
    {'aut_label': '18G1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 369, 'group_order': 288, 'label': '18G-7', 'order': 18, 'powers': [37, 36], 'representative': 176, 'size': 1}
  • id: 103716460
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 109, 'group_counter': 369, 'group_order': 288, 'label': '36A1', 'order': 36, 'powers': [103, 43], 'representative': 8, 'size': 2}
  • id: 103716462
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 110, 'group_counter': 369, 'group_order': 288, 'label': '36A-1', 'order': 36, 'powers': [104, 44], 'representative': 136, 'size': 2}
  • id: 103716463
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 111, 'group_counter': 369, 'group_order': 288, 'label': '36A5', 'order': 36, 'powers': [105, 44], 'representative': 40, 'size': 2}
  • id: 103716464
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 112, 'group_counter': 369, 'group_order': 288, 'label': '36A-5', 'order': 36, 'powers': [106, 43], 'representative': 104, 'size': 2}
  • id: 103716465
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 113, 'group_counter': 369, 'group_order': 288, 'label': '36A7', 'order': 36, 'powers': [107, 43], 'representative': 200, 'size': 2}
  • id: 103716466
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 114, 'group_counter': 369, 'group_order': 288, 'label': '36A-7', 'order': 36, 'powers': [108, 44], 'representative': 232, 'size': 2}
  • id: 103716467
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 115, 'group_counter': 369, 'group_order': 288, 'label': '36B1', 'order': 36, 'powers': [103, 45], 'representative': 12, 'size': 2}
  • id: 103716468
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 116, 'group_counter': 369, 'group_order': 288, 'label': '36B-1', 'order': 36, 'powers': [104, 46], 'representative': 140, 'size': 2}
  • id: 103716469
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 117, 'group_counter': 369, 'group_order': 288, 'label': '36B5', 'order': 36, 'powers': [105, 46], 'representative': 44, 'size': 2}
  • id: 103716470
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 118, 'group_counter': 369, 'group_order': 288, 'label': '36B-5', 'order': 36, 'powers': [106, 45], 'representative': 108, 'size': 2}
  • id: 103716471
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 119, 'group_counter': 369, 'group_order': 288, 'label': '36B7', 'order': 36, 'powers': [107, 45], 'representative': 204, 'size': 2}
  • id: 103716473
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 120, 'group_counter': 369, 'group_order': 288, 'label': '36B-7', 'order': 36, 'powers': [108, 46], 'representative': 236, 'size': 2}
  • id: 103716474
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 121, 'group_counter': 369, 'group_order': 288, 'label': '36C1', 'order': 36, 'powers': [106, 47], 'representative': 34, 'size': 2}
  • id: 103716475
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 122, 'group_counter': 369, 'group_order': 288, 'label': '36C-1', 'order': 36, 'powers': [105, 48], 'representative': 114, 'size': 2}
  • id: 103716476
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 123, 'group_counter': 369, 'group_order': 288, 'label': '36C5', 'order': 36, 'powers': [108, 48], 'representative': 18, 'size': 2}
  • id: 103716477
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 124, 'group_counter': 369, 'group_order': 288, 'label': '36C-5', 'order': 36, 'powers': [107, 47], 'representative': 130, 'size': 2}
  • id: 103716478
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 125, 'group_counter': 369, 'group_order': 288, 'label': '36C7', 'order': 36, 'powers': [103, 47], 'representative': 226, 'size': 2}
  • id: 103716479
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 126, 'group_counter': 369, 'group_order': 288, 'label': '36C-7', 'order': 36, 'powers': [104, 48], 'representative': 66, 'size': 2}
  • id: 103716480
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 127, 'group_counter': 369, 'group_order': 288, 'label': '36D1', 'order': 36, 'powers': [103, 49], 'representative': 10, 'size': 2}
  • id: 103716481
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 128, 'group_counter': 369, 'group_order': 288, 'label': '36D-1', 'order': 36, 'powers': [104, 50], 'representative': 138, 'size': 2}
  • id: 103716482
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 129, 'group_counter': 369, 'group_order': 288, 'label': '36D5', 'order': 36, 'powers': [105, 50], 'representative': 42, 'size': 2}
  • id: 103716484
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 130, 'group_counter': 369, 'group_order': 288, 'label': '36D-5', 'order': 36, 'powers': [106, 49], 'representative': 106, 'size': 2}
  • id: 103716485
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 131, 'group_counter': 369, 'group_order': 288, 'label': '36D7', 'order': 36, 'powers': [107, 49], 'representative': 202, 'size': 2}
  • id: 103716486
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 132, 'group_counter': 369, 'group_order': 288, 'label': '36D-7', 'order': 36, 'powers': [108, 50], 'representative': 234, 'size': 2}
  • id: 103716487
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 133, 'group_counter': 369, 'group_order': 288, 'label': '36E1', 'order': 36, 'powers': [103, 51], 'representative': 9, 'size': 2}
  • id: 103716488
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 134, 'group_counter': 369, 'group_order': 288, 'label': '36E-1', 'order': 36, 'powers': [104, 52], 'representative': 137, 'size': 2}
  • id: 103716489
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 135, 'group_counter': 369, 'group_order': 288, 'label': '36E5', 'order': 36, 'powers': [105, 52], 'representative': 41, 'size': 2}
  • id: 103716490
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 136, 'group_counter': 369, 'group_order': 288, 'label': '36E-5', 'order': 36, 'powers': [106, 51], 'representative': 105, 'size': 2}
  • id: 103716491
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 137, 'group_counter': 369, 'group_order': 288, 'label': '36E7', 'order': 36, 'powers': [107, 51], 'representative': 201, 'size': 2}
  • id: 103716492
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 138, 'group_counter': 369, 'group_order': 288, 'label': '36E-7', 'order': 36, 'powers': [108, 52], 'representative': 233, 'size': 2}
  • id: 103716493
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 139, 'group_counter': 369, 'group_order': 288, 'label': '36F1', 'order': 36, 'powers': [106, 53], 'representative': 38, 'size': 2}
  • id: 103716495
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 140, 'group_counter': 369, 'group_order': 288, 'label': '36F-1', 'order': 36, 'powers': [105, 54], 'representative': 118, 'size': 2}
  • id: 103716496
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 141, 'group_counter': 369, 'group_order': 288, 'label': '36F5', 'order': 36, 'powers': [108, 54], 'representative': 22, 'size': 2}
  • id: 103716497
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 142, 'group_counter': 369, 'group_order': 288, 'label': '36F-5', 'order': 36, 'powers': [107, 53], 'representative': 134, 'size': 2}
  • id: 103716498
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 143, 'group_counter': 369, 'group_order': 288, 'label': '36F7', 'order': 36, 'powers': [103, 53], 'representative': 230, 'size': 2}
  • id: 103716499
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 144, 'group_counter': 369, 'group_order': 288, 'label': '36F-7', 'order': 36, 'powers': [104, 54], 'representative': 70, 'size': 2}
  • id: 103716500
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 145, 'group_counter': 369, 'group_order': 288, 'label': '36G1', 'order': 36, 'powers': [103, 55], 'representative': 14, 'size': 2}
  • id: 103716501
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 146, 'group_counter': 369, 'group_order': 288, 'label': '36G-1', 'order': 36, 'powers': [104, 56], 'representative': 142, 'size': 2}
  • id: 103716502
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 147, 'group_counter': 369, 'group_order': 288, 'label': '36G5', 'order': 36, 'powers': [105, 56], 'representative': 46, 'size': 2}
  • id: 103716503
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 148, 'group_counter': 369, 'group_order': 288, 'label': '36G-5', 'order': 36, 'powers': [106, 55], 'representative': 110, 'size': 2}
  • id: 103716504
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 149, 'group_counter': 369, 'group_order': 288, 'label': '36G7', 'order': 36, 'powers': [107, 55], 'representative': 206, 'size': 2}
  • id: 103716506
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 150, 'group_counter': 369, 'group_order': 288, 'label': '36G-7', 'order': 36, 'powers': [108, 56], 'representative': 238, 'size': 2}
  • id: 103716507
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 151, 'group_counter': 369, 'group_order': 288, 'label': '36H1', 'order': 36, 'powers': [103, 57], 'representative': 13, 'size': 2}
  • id: 103716508
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 152, 'group_counter': 369, 'group_order': 288, 'label': '36H-1', 'order': 36, 'powers': [104, 58], 'representative': 141, 'size': 2}
  • id: 103716509
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 153, 'group_counter': 369, 'group_order': 288, 'label': '36H5', 'order': 36, 'powers': [105, 58], 'representative': 45, 'size': 2}
  • id: 103716510
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 154, 'group_counter': 369, 'group_order': 288, 'label': '36H-5', 'order': 36, 'powers': [106, 57], 'representative': 109, 'size': 2}
  • id: 103716511
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 155, 'group_counter': 369, 'group_order': 288, 'label': '36H7', 'order': 36, 'powers': [107, 57], 'representative': 205, 'size': 2}
  • id: 103716512
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 156, 'group_counter': 369, 'group_order': 288, 'label': '36H-7', 'order': 36, 'powers': [108, 58], 'representative': 237, 'size': 2}
  • id: 103716513
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 157, 'group_counter': 369, 'group_order': 288, 'label': '36I1', 'order': 36, 'powers': [106, 59], 'representative': 35, 'size': 2}
  • id: 103716514
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 158, 'group_counter': 369, 'group_order': 288, 'label': '36I-1', 'order': 36, 'powers': [105, 60], 'representative': 115, 'size': 2}
  • id: 103716515
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 159, 'group_counter': 369, 'group_order': 288, 'label': '36I5', 'order': 36, 'powers': [108, 60], 'representative': 19, 'size': 2}
  • id: 103716517
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 160, 'group_counter': 369, 'group_order': 288, 'label': '36I-5', 'order': 36, 'powers': [107, 59], 'representative': 131, 'size': 2}
  • id: 103716518
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 161, 'group_counter': 369, 'group_order': 288, 'label': '36I7', 'order': 36, 'powers': [103, 59], 'representative': 227, 'size': 2}
  • id: 103716519
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 162, 'group_counter': 369, 'group_order': 288, 'label': '36I-7', 'order': 36, 'powers': [104, 60], 'representative': 67, 'size': 2}
  • id: 103716520
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 163, 'group_counter': 369, 'group_order': 288, 'label': '36J1', 'order': 36, 'powers': [103, 61], 'representative': 11, 'size': 2}
  • id: 103716521
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 164, 'group_counter': 369, 'group_order': 288, 'label': '36J-1', 'order': 36, 'powers': [104, 62], 'representative': 139, 'size': 2}
  • id: 103716522
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 165, 'group_counter': 369, 'group_order': 288, 'label': '36J5', 'order': 36, 'powers': [105, 62], 'representative': 43, 'size': 2}
  • id: 103716523
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 166, 'group_counter': 369, 'group_order': 288, 'label': '36J-5', 'order': 36, 'powers': [106, 61], 'representative': 107, 'size': 2}
  • id: 103716524
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 167, 'group_counter': 369, 'group_order': 288, 'label': '36J7', 'order': 36, 'powers': [107, 61], 'representative': 203, 'size': 2}
  • id: 103716525
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 168, 'group_counter': 369, 'group_order': 288, 'label': '36J-7', 'order': 36, 'powers': [108, 62], 'representative': 235, 'size': 2}
  • id: 103716526
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 169, 'group_counter': 369, 'group_order': 288, 'label': '36K1', 'order': 36, 'powers': [106, 63], 'representative': 39, 'size': 2}
  • id: 103716528
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 170, 'group_counter': 369, 'group_order': 288, 'label': '36K-1', 'order': 36, 'powers': [105, 64], 'representative': 119, 'size': 2}
  • id: 103716529
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 171, 'group_counter': 369, 'group_order': 288, 'label': '36K5', 'order': 36, 'powers': [108, 64], 'representative': 23, 'size': 2}
  • id: 103716530
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 172, 'group_counter': 369, 'group_order': 288, 'label': '36K-5', 'order': 36, 'powers': [107, 63], 'representative': 135, 'size': 2}
  • id: 103716531
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 173, 'group_counter': 369, 'group_order': 288, 'label': '36K7', 'order': 36, 'powers': [103, 63], 'representative': 231, 'size': 2}
  • id: 103716532
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 174, 'group_counter': 369, 'group_order': 288, 'label': '36K-7', 'order': 36, 'powers': [104, 64], 'representative': 71, 'size': 2}
  • id: 103716533
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 175, 'group_counter': 369, 'group_order': 288, 'label': '36L1', 'order': 36, 'powers': [103, 65], 'representative': 15, 'size': 2}
  • id: 103716534
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 176, 'group_counter': 369, 'group_order': 288, 'label': '36L-1', 'order': 36, 'powers': [104, 66], 'representative': 143, 'size': 2}
  • id: 103716535
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 177, 'group_counter': 369, 'group_order': 288, 'label': '36L5', 'order': 36, 'powers': [105, 66], 'representative': 47, 'size': 2}
  • id: 103716536
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 178, 'group_counter': 369, 'group_order': 288, 'label': '36L-5', 'order': 36, 'powers': [106, 65], 'representative': 111, 'size': 2}
  • id: 103716537
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 179, 'group_counter': 369, 'group_order': 288, 'label': '36L7', 'order': 36, 'powers': [107, 65], 'representative': 207, 'size': 2}
  • id: 103716539
    {'aut_label': '36A1', 'centralizer': '2.b1', 'counter': 180, 'group_counter': 369, 'group_order': 288, 'label': '36L-7', 'order': 36, 'powers': [108, 66], 'representative': 239, 'size': 2}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 2442722
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 2442733
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -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: 2442744
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 2442755
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 2442766
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 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: 2442777
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 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: 2442779
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 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: 2442780
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -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: 2442781
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -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: 2442723
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 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: 2442724
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 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: 2442725
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -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: 2442726
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -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: 2442727
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 2442728
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -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: 2442729
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 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: 2442730
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1q', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 2442731
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 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: 2442732
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 2442734
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 2442735
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1u', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -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: 2442736
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1v', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 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, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -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: 2442737
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1w', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -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, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -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: 2442738
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 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, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 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: 2442739
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, -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, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 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: 2442740
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 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, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -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: 2442741
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -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, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -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: 2442742
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 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, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 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: 2442743
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ac', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -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, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 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: 2442745
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ad', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 2442746
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ae', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 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: 2442747
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1af', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -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: 2442765
    {'cdim': 2, 'counter': 49, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2a', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 2442767
    {'cdim': 2, 'counter': 50, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2b', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 2442768
    {'cdim': 2, 'counter': 51, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2c', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 2442769
    {'cdim': 2, 'counter': 52, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2d', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 2442770
    {'cdim': 2, 'counter': 53, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2e', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442771
    {'cdim': 2, 'counter': 54, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2f', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 4, 4, -4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442772
    {'cdim': 2, 'counter': 55, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2g', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442773
    {'cdim': 2, 'counter': 56, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2h', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442748
    {'cdim': 1, 'counter': 33, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ag', 'multiplicity': 6, 'nt': [9, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, -3, -3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442749
    {'cdim': 1, 'counter': 34, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ah', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, -6, -6, 6, 6, -6, 6, -3, -3, -6, -6, 6, -6, -6, 6, 6, -6, -6, 6, 6, 6, 3, -3, -3, -3, 3, -3, -3, -3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, -3, 3, -3, -3, -3, 3, -3, 3, -3, -3, -3, 3, -3, -3, 3, 3, 3, -3, 3, 3, -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442750
    {'cdim': 1, 'counter': 35, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ai', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, -6, -6, 6, 6, -6, 6, -3, -3, -6, 6, -6, 6, -6, 6, -6, 6, 6, -6, 6, -6, 3, -3, -3, -3, 3, -3, -3, -3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, -3, 3, 3, 3, 3, -3, 3, -3, -3, -3, -3, 3, -3, 3, 3, -3, -3, 3, 3, 3, -3, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442751
    {'cdim': 1, 'counter': 36, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1aj', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, -6, -6, 6, 6, -6, 6, -3, -3, 6, -6, -6, 6, 6, -6, 6, -6, 6, -6, -6, 6, 3, -3, -3, -3, 3, -3, -3, -3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, -3, 3, -3, 3, 3, 3, -3, 3, -3, 3, 3, 3, -3, -3, -3, 3, 3, -3, -3, -3, 3, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442752
    {'cdim': 1, 'counter': 37, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ak', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, -6, -6, 6, 6, -6, 6, -3, -3, 6, 6, 6, -6, 6, -6, -6, 6, -6, 6, -6, -6, 3, -3, -3, -3, 3, -3, -3, -3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, -3, -3, -3, -3, 3, -3, 3, 3, 3, 3, -3, 3, 3, 3, -3, -3, -3, 3, -3, -3, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442753
    {'cdim': 1, 'counter': 38, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1al', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, 6, -6, -6, 6, 6, -6, -3, -3, -6, -6, 6, -6, 6, -6, -6, 6, 6, -6, 6, 6, 3, 3, 3, 3, -3, 3, -3, -3, 3, 3, 3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 3, -3, -3, 3, 3, 3, -3, -3, -3, 3, -3, -3, 3, -3, -3, 3, -3, 3, 3, 3, -3, 3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442754
    {'cdim': 1, 'counter': 39, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1am', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, 6, -6, -6, 6, 6, -6, -3, -3, -6, 6, -6, 6, 6, -6, 6, -6, -6, 6, 6, -6, 3, 3, 3, 3, -3, 3, -3, -3, 3, 3, 3, -3, -3, -3, 0, 0, 0, 0, 0, 0, -3, 3, -3, -3, -3, 3, -3, -3, 3, 3, -3, 3, -3, 3, 3, -3, 3, 3, -3, 3, 3, -3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442756
    {'cdim': 1, 'counter': 40, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1an', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, 6, -6, -6, 6, 6, -6, -3, -3, 6, -6, -6, 6, -6, 6, -6, 6, -6, 6, -6, 6, 3, 3, 3, 3, -3, 3, -3, -3, 3, 3, 3, -3, -3, -3, 0, 0, 0, 0, 0, 0, -3, 3, 3, -3, -3, -3, 3, 3, 3, -3, 3, 3, -3, -3, -3, 3, -3, -3, 3, -3, -3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442757
    {'cdim': 1, 'counter': 41, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ao', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, -6, 6, -6, -6, 6, 6, -6, -3, -3, 6, 6, 6, -6, -6, 6, 6, -6, 6, -6, -6, -6, 3, 3, 3, 3, -3, 3, -3, -3, 3, 3, 3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 3, -3, 3, 3, 3, -3, 3, 3, -3, -3, 3, -3, 3, 3, 3, -3, 3, -3, -3, -3, 3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442758
    {'cdim': 1, 'counter': 42, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ap', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, -6, 6, -6, 6, -6, -6, -3, -3, -6, -6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, -3, 3, 3, 3, 3, 3, -3, -3, -3, -3, -3, 3, 3, 3, 0, 0, 0, 0, 0, 0, -3, -3, -3, 3, 3, -3, -3, 3, 3, -3, 3, -3, -3, 3, 3, 3, -3, 3, -3, 3, -3, -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442759
    {'cdim': 1, 'counter': 43, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1aq', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, -6, 6, -6, 6, -6, -6, -3, -3, -6, 6, -6, -6, 6, 6, -6, -6, 6, 6, -6, 6, -3, 3, 3, 3, 3, 3, -3, -3, -3, -3, -3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, -3, -3, -3, -3, -3, 3, -3, -3, 3, 3, 3, -3, -3, -3, 3, 3, 3, 3, 3, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442760
    {'cdim': 1, 'counter': 44, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1ar', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, -6, 6, -6, 6, -6, -6, -3, -3, 6, -6, -6, -6, -6, -6, 6, 6, 6, 6, 6, -6, -3, 3, 3, 3, 3, 3, -3, -3, -3, -3, -3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, -3, -3, 3, 3, -3, -3, 3, -3, 3, 3, 3, 3, 3, -3, -3, -3, -3, -3, -3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442761
    {'cdim': 1, 'counter': 45, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1as', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, -6, 6, -6, 6, -6, -6, -3, -3, 6, 6, 6, 6, -6, -6, -6, -6, -6, -6, 6, 6, -3, 3, 3, 3, 3, 3, -3, -3, -3, -3, -3, 3, 3, 3, 0, 0, 0, 0, 0, 0, -3, -3, 3, 3, 3, 3, 3, -3, 3, 3, -3, -3, -3, -3, -3, -3, 3, -3, 3, -3, 3, 3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442762
    {'cdim': 1, 'counter': 46, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1at', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -6, -6, 6, 6, -6, -6, -6, -6, 6, 6, -6, -6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, -3, -3, 3, -3, -3, 3, 3, 3, -3, 3, 3, -3, -3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442763
    {'cdim': 1, 'counter': 47, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1au', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -6, 6, -6, -6, -6, -6, 6, 6, -6, -6, -6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -3, -3, -3, -3, 3, -3, 3, -3, -3, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442764
    {'cdim': 1, 'counter': 48, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.1av', 'multiplicity': 6, 'nt': [18, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, -3, -3, 6, -6, -6, -6, 6, 6, -6, -6, -6, -6, 6, -6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 3, 3, -3, 3, 3, -3, -3, -3, 3, -3, -3, 3, 3, 3, 3, 3, 3, -3, 3, -3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442774
    {'cdim': 2, 'counter': 57, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2i', 'multiplicity': 6, 'nt': [72, 0], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 12, -12, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, -6, -6, 6, 6, -6, -6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442775
    {'cdim': 2, 'counter': 58, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2j', 'multiplicity': 6, 'nt': [72, 0], 'qdim': 12, 'qvalues': [12, -12, 12, 12, -12, -12, -12, 12, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 6, 6, 6, 6, 6, -6, -6, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442776
    {'cdim': 2, 'counter': 59, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2k', 'multiplicity': 6, 'nt': [72, 0], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -12, -12, 12, 12, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, 6, -6, 6, 6, 6, 6, 6, -6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2442778
    {'cdim': 2, 'counter': 60, 'faithful': False, 'group': '288.369', 'group_order': 288, 'image': None, 'label': '288.369.2l', 'multiplicity': 6, 'nt': [72, 0], 'qdim': 12, 'qvalues': [12, 12, 12, -12, 12, -12, -12, -12, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 6, -6, 6, -6, 6, 6, 6, 6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 3122547
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 288, 'label': '288.369.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 3122658
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 37, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1aa1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]]]}
  • id: 3122659
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 38, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1aa2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 3122660
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 39, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1ab1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]]]}
  • id: 3122662
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 40, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1ab2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 3122663
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 41, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1ac1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]]]}
  • id: 3122664
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 42, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1ac2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 3122665
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 43, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 48, 'label': '288.369.1ad1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]]]}
  • id: 3122666
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 44, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 48, 'label': '288.369.1ad2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 3122667
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 45, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 48, 'label': '288.369.1ae1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]]]}
  • id: 3122668
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 46, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 48, 'label': '288.369.1ae2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 3122669
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  • id: 3122670
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  • id: 3122671
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  • id: 3122673
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  • id: 3122674
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  • id: 3122675
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  • id: 3122676
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 53, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1', 'kernel_order': 32, 'label': '288.369.1ag5', 'nt': [9, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122677
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 54, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '9.1', 'image_order': 9, 'indicator': 0, 'kernel': '9.a1', 'kernel_order': 32, 'label': '288.369.1ag6', 'nt': [9, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122678
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 55, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ah1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, -4]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122679
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 56, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ah2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, 4]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122680
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 57, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ah3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122681
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 58, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ah4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122682
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 59, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ah5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122684
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 60, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ah6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122685
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 61, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ai1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, -4]], [[1, -1]], [[1, 2]]]}
  • id: 3122686
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 62, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ai2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, 4]], [[1, 1]], [[1, -2]]]}
  • id: 3122687
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 63, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ai3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -4]], [[1, -1]]]}
  • id: 3122688
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 64, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ai4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[-1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 4]], [[1, 1]]]}
  • id: 3122689
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 65, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ai5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[-1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122690
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 66, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ai6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122691
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 67, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aj1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[-1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[1, -4]], [[1, -1]], [[1, 2]]]}
  • id: 3122692
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 68, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aj2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[-1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[1, 4]], [[1, 1]], [[1, -2]]]}
  • id: 3122693
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 69, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aj3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[-1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -4]], [[1, -1]]]}
  • id: 3122695
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 70, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aj4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 4]], [[1, 1]]]}
  • id: 3122696
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 71, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aj5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122697
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 72, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aj6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122698
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 73, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ak1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[-1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122699
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 74, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ak2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122700
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 75, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ak3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[1, -4]], [[1, -4]], [[1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122701
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 76, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ak4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[1, 4]], [[1, 4]], [[1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122702
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 77, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ak5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122703
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 78, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ak6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122704
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 79, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1al1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[1, -1]], [[1, 2]], [[-1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122706
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 80, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1al2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[1, 1]], [[1, -2]], [[-1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122707
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 81, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1al3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -4]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[-1, -4]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122708
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 82, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1al4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[-1, 4]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122709
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 83, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1al5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[1, 2]], [[1, -4]], [[-1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122710
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 84, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1al6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[1, -2]], [[1, 4]], [[-1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122711
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 85, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1am1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[-1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[-1, -1]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, -1]], [[1, 2]]]}
  • id: 3122712
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 86, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1am2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[-1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[-1, 1]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, 1]], [[1, -2]]]}
  • id: 3122713
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 87, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1am3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -4]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[1, -4]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, -4]], [[1, -1]]]}
  • id: 3122714
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 88, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1am4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[1, 4]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, 4]], [[1, 1]]]}
  • id: 3122715
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 89, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1am5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[-1, 2]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122717
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 90, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1am6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[-1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[-1, -2]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122718
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 91, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1an1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, -1]], [[-1, 2]], [[1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[-1, -4]], [[1, -1]], [[1, 2]]]}
  • id: 3122719
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 92, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1an2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 4]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, 1]], [[-1, -2]], [[1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[-1, 4]], [[1, 1]], [[1, -2]]]}
  • id: 3122720
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 93, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1an3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -4]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[1, -4]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, -4]], [[1, -1]]]}
  • id: 3122721
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 94, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1an4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[1, 4]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, 4]], [[1, 1]]]}
  • id: 3122722
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 95, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1an5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 2]], [[-1, -4]], [[1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122723
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 96, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1an6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -2]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122724
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 97, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ao1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, -4]], [[-1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[1, -1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122725
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 98, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ao2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[1, 1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122726
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 99, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ao3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, -4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[-1, -4]], [[1, -4]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122549
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 100, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ao4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[-1, 4]], [[1, 4]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122550
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 101, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ao5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -4]], [[1, -1]], [[-1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[1, 2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122551
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 102, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ao6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[1, -2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122552
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 103, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ap1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, -1]], [[-1, 2]], [[1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 2]]]}
  • id: 3122553
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 104, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ap2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, 1]], [[-1, -2]], [[1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -2]]]}
  • id: 3122554
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 105, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ap3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -4]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, -1]]]}
  • id: 3122555
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 106, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ap4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[-1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, 1]]]}
  • id: 3122556
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 107, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ap5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -4]], [[1, -1]], [[-1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[-1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 2]], [[-1, -4]], [[1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122557
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 108, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ap6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -2]], [[-1, 4]], [[1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122558
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 109, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aq1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[1, -1]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122560
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 110, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aq2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[1, 1]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122561
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 111, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aq3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, -4]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122562
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 112, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aq4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122563
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 113, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aq5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[1, 2]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122564
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 114, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1aq6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[1, -2]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122565
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 115, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ar1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[1, -1]], [[1, 2]], [[-1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[-1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122566
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 116, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ar2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 4]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[1, 1]], [[1, -2]], [[-1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122567
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 117, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ar3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -4]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[-1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122568
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 118, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ar4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 4]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122569
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 119, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ar5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[1, 2]], [[1, -4]], [[-1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122571
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 120, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1ar6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[1, -2]], [[1, 4]], [[-1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122572
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 121, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1as1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[-1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[-1, -1]], [[-1, 2]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[-1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -4]], [[1, -1]], [[1, 2]]]}
  • id: 3122573
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 122, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1as2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[-1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[-1, 1]], [[-1, -2]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 4]], [[1, 1]], [[1, -2]]]}
  • id: 3122574
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 123, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1as3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -4]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[1, -4]], [[1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -4]], [[1, -1]]]}
  • id: 3122575
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 124, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1as4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 4]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[1, 4]], [[1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 4]], [[1, 1]]]}
  • id: 3122576
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 125, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1as5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, 4]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -4]], [[1, -1]], [[-1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[-1, 2]], [[-1, -4]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122577
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 126, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 16, 'label': '288.369.1as6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, -4]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 4]], [[1, 1]], [[-1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[-1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[-1, -2]], [[-1, 4]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122578
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 127, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1at1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, -4]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -4]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[1, -1]], [[1, 2]]]}
  • id: 3122579
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 128, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1at2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, 4]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[1, 1]], [[1, -2]]]}
  • id: 3122580
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 129, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1at3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -4]], [[1, -1]]]}
  • id: 3122582
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 130, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1at4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 4]], [[1, 1]]]}
  • id: 3122583
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 131, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1at5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -1]], [[-1, 4]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -4]]]}
  • id: 3122584
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 132, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1at6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 1]], [[-1, -4]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 4]]]}
  • id: 3122585
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 133, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1au1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, -1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122586
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 134, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1au2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122587
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 135, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1au3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122588
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 136, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1au4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122589
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 137, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1au5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, -3]], [[1, -3]], [[1, -3]], [[1, 3]], [[-1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122590
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 138, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1au6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, -3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[-1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122591
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 139, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1av1', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 4]], [[-1, -2]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, -1]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[1, -1]], [[1, -4]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 2]]]}
  • id: 3122593
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 140, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1av2', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, -4]], [[-1, 2]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 4]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, 1]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[1, 1]], [[1, 4]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -2]]]}
  • id: 3122594
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 141, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1av3', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 1]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[1, 4]], [[1, 4]], [[1, -2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -4]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 4]], [[-1, -4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[1, -4]], [[1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -4]], [[-1, -1]]]}
  • id: 3122595
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 142, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1av4', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -1]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[1, -4]], [[1, -4]], [[1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 4]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[1, 4]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -4]], [[-1, 4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[1, 4]], [[1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 4]], [[-1, 1]]]}
  • id: 3122596
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 143, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1av5', 'nt': [18, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 4]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, -3]], [[1, 3]], [[1, -3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -1]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -1]], [[-1, -1]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 4]], [[1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -4]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -4]]]}
  • id: 3122597
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 144, 'cyclotomic_n': 9, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '18.2', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 16, 'label': '288.369.1av6', 'nt': [18, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -4]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[-1, -3]], [[-1, 3]], [[1, -3]], [[1, 3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[1, 3]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[1, -3]], [[-1, -3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 1]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 1]], [[-1, 1]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -4]], [[1, -1]], [[1, -4]], [[-1, 4]], [[-1, -2]], [[1, 1]], [[1, 4]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -4]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[1, 4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 4]]]}
  • id: 3122639
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3122650
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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: 3122661
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  • id: 3122672
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 3122683
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3122694
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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: 3122705
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3122716
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 3122548
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  • id: 3122559
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1k', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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: 3122570
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1l', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3122581
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 144, 'label': '288.369.1m', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 3122592
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 144, 'label': '288.369.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3122603
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 144, 'label': '288.369.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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: 3122614
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  • id: 3122625
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 17, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 96, 'label': '288.369.1q1', 'nt': [3, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]]]}
  • id: 3122636
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 96, 'label': '288.369.1q2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 3122638
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1r1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]]]}
  • id: 3122640
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1r2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 3122641
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  • id: 3122642
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  • id: 3122643
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  • id: 3122644
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  • id: 3122645
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  • id: 3122646
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  • id: 3122647
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  • id: 3122648
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  • id: 3122649
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  • id: 3122651
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 30, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1w2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 3122652
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  • id: 3122653
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 32, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1x2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 3122654
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 33, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1y1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]]]}
  • id: 3122655
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 34, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1y2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 3122656
    {'center': '1.a1', 'center_index': 1, 'center_order': 288, 'counter': 35, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 48, 'label': '288.369.1z1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]]]}
  • id: 3122657
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  • id: 3122598
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 145, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.b1', 'kernel_order': 36, 'label': '288.369.2a', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122599
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 146, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.b1', 'kernel_order': 36, 'label': '288.369.2b', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122600
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 147, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.b1', 'kernel_order': 36, 'label': '288.369.2c', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122601
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 148, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.b1', 'kernel_order': 36, 'label': '288.369.2d', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122602
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 149, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '24.11', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 12, 'label': '288.369.2e1', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122604
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  • id: 3122605
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  • id: 3122606
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  • id: 3122607
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  • id: 3122608
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  • id: 3122609
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  • id: 3122610
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  • id: 3122611
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 157, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2i1', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, -4]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 1]], [[-2, -1]], [[2, -2]], [[-2, 2]], [[-2, 4]], [[2, 1]], [[2, 4]], [[-2, 1]], [[-2, -2]], [[2, -2]], [[-2, -4]], [[2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 2]], [[-2, -4]], [[-2, 4]], [[-2, 1]], [[-2, -1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -4]], [[2, -4]], [[-2, -1]], [[2, 2]], [[2, 4]], [[-2, 4]], [[-2, 1]], [[-2, 4]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[2, -4]], [[-2, -1]], [[-2, -4]], [[2, -1]], [[-2, 2]], [[2, 2]], [[-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122612
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 158, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2i2', 'nt': [72, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, 4]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, -1]], [[-2, 1]], [[2, 2]], [[-2, -2]], [[-2, -4]], [[2, -1]], [[2, -4]], [[-2, -1]], [[-2, 2]], [[2, 2]], [[-2, 4]], [[2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -2]], [[-2, 4]], [[-2, -4]], [[-2, -1]], [[-2, 1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 4]], [[2, 4]], [[-2, 1]], [[2, -2]], [[2, -4]], [[-2, -4]], [[-2, -1]], [[-2, -4]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[-2, 1]], [[-2, 4]], [[2, 1]], [[-2, -2]], [[2, -2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122613
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 159, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2i3', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 2]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, -4]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 4]], [[-2, -4]], [[2, 1]], [[-2, -1]], [[-2, -2]], [[2, 4]], [[2, -2]], [[-2, 4]], [[-2, 1]], [[2, 1]], [[-2, 2]], [[2, -4]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 4]], [[-2, -4]], [[2, 1]], [[2, -1]], [[2, -4]], [[2, 4]], [[2, 2]], [[2, 2]], [[-2, -4]], [[2, -1]], [[2, -2]], [[-2, -2]], [[-2, 4]], [[-2, -2]], [[-2, 4]], [[-2, 1]], [[-2, 1]], [[2, 2]], [[-2, -4]], [[-2, 2]], [[2, -4]], [[-2, -1]], [[2, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122615
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 160, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2i4', 'nt': [72, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -2]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, 4]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -4]], [[-2, 4]], [[2, -1]], [[-2, 1]], [[-2, 2]], [[2, -4]], [[2, 2]], [[-2, -4]], [[-2, -1]], [[2, -1]], [[-2, -2]], [[2, 4]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -4]], [[-2, 4]], [[2, -1]], [[2, 1]], [[2, 4]], [[2, -4]], [[2, -2]], [[2, -2]], [[-2, 4]], [[2, 1]], [[2, 2]], [[-2, 2]], [[-2, -4]], [[-2, 2]], [[-2, -4]], [[-2, -1]], [[-2, -1]], [[2, -2]], [[-2, 4]], [[-2, -2]], [[2, 4]], [[-2, 1]], [[2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122616
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 161, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2i5', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[-2, 2]], [[2, 4]], [[-2, -4]], [[-2, 1]], [[2, -2]], [[2, 1]], [[-2, -2]], [[-2, 4]], [[2, 4]], [[-2, -1]], [[2, 2]], [[-2, -4]], [[-2, 4]], [[-2, -4]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[2, 4]], [[2, -4]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -1]], [[-2, 2]], [[2, -4]], [[2, 1]], [[-2, 1]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[-2, 4]], [[-2, 4]], [[2, -1]], [[-2, 2]], [[-2, -1]], [[2, 2]], [[-2, -4]], [[2, -4]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122617
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  • id: 3122618
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  • id: 3122619
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  • id: 3122620
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  • id: 3122621
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  • id: 3122622
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  • id: 3122623
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  • id: 3122624
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  • id: 3122626
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  • id: 3122627
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 171, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2k3', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 2]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, -4]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 4]], [[-2, -4]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 4]], [[-2, -2]], [[-2, 4]], [[-2, 1]], [[-2, 1]], [[2, 2]], [[-2, -4]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 4]], [[-2, -4]], [[2, 1]], [[2, -1]], [[2, -4]], [[2, 4]], [[2, 2]], [[-2, 2]], [[2, -4]], [[-2, -1]], [[2, -2]], [[2, -2]], [[2, 4]], [[2, -2]], [[2, 4]], [[2, 1]], [[2, 1]], [[-2, 2]], [[2, -4]], [[2, 2]], [[-2, -4]], [[2, -1]], [[-2, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122628
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 172, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2k4', 'nt': [72, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -2]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, 4]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -4]], [[-2, 4]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -4]], [[-2, 2]], [[-2, -4]], [[-2, -1]], [[-2, -1]], [[2, -2]], [[-2, 4]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -4]], [[-2, 4]], [[2, -1]], [[2, 1]], [[2, 4]], [[2, -4]], [[2, -2]], [[-2, -2]], [[2, 4]], [[-2, 1]], [[2, 2]], [[2, 2]], [[2, -4]], [[2, 2]], [[2, -4]], [[2, -1]], [[2, -1]], [[-2, -2]], [[2, 4]], [[2, -2]], [[-2, 4]], [[2, 1]], [[-2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122629
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  • id: 3122630
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 174, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2k6', 'nt': [72, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, -4]], [[-2, 4]], [[-2, -1]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[-2, -4]], [[-2, -4]], [[2, 1]], [[-2, -2]], [[2, 4]], [[-2, -4]], [[-2, 4]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[2, -4]], [[2, 4]], [[2, -2]], [[2, 2]], [[2, 1]], [[-2, 1]], [[2, -2]], [[-2, 4]], [[2, -1]], [[2, -1]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, -4]], [[2, -4]], [[-2, 1]], [[2, -2]], [[2, 1]], [[-2, -2]], [[2, 4]], [[-2, 4]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122631
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 175, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2l1', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[2, -4]], [[2, 1]], [[2, 4]], [[2, 2]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 1]], [[-2, -1]], [[2, -2]], [[-2, 2]], [[-2, 4]], [[-2, 1]], [[-2, 4]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[2, -4]], [[-2, -1]], [[2, 2]], [[2, -2]], [[2, 2]], [[2, -4]], [[2, 4]], [[2, 1]], [[2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -4]], [[-2, -4]], [[2, -1]], [[-2, 2]], [[-2, 4]], [[2, 4]], [[-2, 1]], [[-2, 4]], [[2, 1]], [[2, -2]], [[-2, -2]], [[2, -4]], [[-2, -1]], [[-2, -4]], [[2, -1]], [[-2, 2]], [[2, 2]], [[-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122632
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 176, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2l2', 'nt': [72, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[2, 4]], [[2, -1]], [[2, -4]], [[2, -2]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, -1]], [[-2, 1]], [[2, 2]], [[-2, -2]], [[-2, -4]], [[-2, -1]], [[-2, -4]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[-2, 1]], [[2, -2]], [[2, 2]], [[2, -2]], [[2, 4]], [[2, -4]], [[2, -1]], [[2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 4]], [[-2, 4]], [[2, 1]], [[-2, -2]], [[-2, -4]], [[2, -4]], [[-2, -1]], [[-2, -4]], [[2, -1]], [[2, 2]], [[-2, 2]], [[2, 4]], [[-2, 1]], [[-2, 4]], [[2, 1]], [[-2, -2]], [[2, -2]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122633
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 177, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2l3', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[2, 2]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, -4]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 4]], [[-2, -4]], [[2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 4]], [[-2, -2]], [[-2, 4]], [[-2, 1]], [[-2, 1]], [[2, 2]], [[-2, -4]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 4]], [[2, -4]], [[-2, 1]], [[-2, -1]], [[-2, -4]], [[-2, 4]], [[-2, 2]], [[-2, 2]], [[2, -4]], [[-2, -1]], [[-2, -2]], [[2, -2]], [[-2, 4]], [[-2, -2]], [[2, 4]], [[2, 1]], [[-2, 1]], [[2, 2]], [[-2, -4]], [[-2, 2]], [[2, -4]], [[-2, -1]], [[2, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122634
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 178, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2l4', 'nt': [72, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[2, -2]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, 4]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -4]], [[-2, 4]], [[2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -4]], [[-2, 2]], [[-2, -4]], [[-2, -1]], [[-2, -1]], [[2, -2]], [[-2, 4]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -4]], [[2, 4]], [[-2, -1]], [[-2, 1]], [[-2, 4]], [[-2, -4]], [[-2, -2]], [[-2, -2]], [[2, 4]], [[-2, 1]], [[-2, 2]], [[2, 2]], [[-2, -4]], [[-2, 2]], [[2, -4]], [[2, -1]], [[-2, -1]], [[2, -2]], [[-2, 4]], [[-2, -2]], [[2, 4]], [[-2, 1]], [[2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122635
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 179, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2l5', 'nt': [72, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -3]], [[2, 3]], [[2, -3]], [[-2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -4]], [[2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -2]], [[-2, 2]], [[2, 4]], [[-2, -4]], [[-2, 1]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[-2, 4]], [[-2, 4]], [[2, -1]], [[-2, 2]], [[2, -4]], [[2, 4]], [[2, -4]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-2, 4]], [[-2, -4]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[2, 2]], [[-2, -4]], [[-2, 1]], [[2, 1]], [[-2, -2]], [[-2, 1]], [[2, -2]], [[2, 4]], [[-2, 4]], [[2, -1]], [[-2, 2]], [[-2, -1]], [[2, 2]], [[-2, -4]], [[2, -4]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3122637
    {'center': '4.b1', 'center_index': 4, 'center_order': 72, 'counter': 180, 'cyclotomic_n': 9, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '288.369', 'group_counter': 369, 'group_order': 288, 'image': None, 'image_isoclass': '72.11', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 4, 'label': '288.369.2l6', 'nt': [72, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[-2, -3]], [[2, -3]], [[-2, 3]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 3]], [[2, -3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 4]], [[2, -2]], [[2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 2]], [[-2, -2]], [[2, -4]], [[-2, 4]], [[-2, -1]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[-2, -4]], [[-2, -4]], [[2, 1]], [[-2, -2]], [[2, 4]], [[2, -4]], [[2, 4]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, -4]], [[-2, 4]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[2, -2]], [[-2, 4]], [[-2, -1]], [[2, -1]], [[-2, 2]], [[-2, -1]], [[2, 2]], [[2, -4]], [[-2, -4]], [[2, 1]], [[-2, -2]], [[-2, 1]], [[2, -2]], [[-2, 4]], [[2, 4]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 51623110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': True, 'core_order': 288, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '288.369.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.369', 'subgroup_hash': 369, 'subgroup_order': 288, 'subgroup_tex': 'C_{36}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 51623121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': False, 'core_order': 144, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '288.369.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.49', 'subgroup_hash': 49, 'subgroup_order': 144, 'subgroup_tex': 'Q_8\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 51623132
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 144, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.47', 'subgroup_hash': 47, 'subgroup_order': 144, 'subgroup_tex': 'C_2^2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 51623140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': True, 'core_order': 96, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.222', 'subgroup_hash': 222, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 51623141
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 72, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.9', 'subgroup_hash': 9, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 51623142
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 72, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.18', 'subgroup_hash': 18, 'subgroup_order': 72, 'subgroup_tex': 'C_2^2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 51623143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': False, 'core_order': 72, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '288.369.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.11', 'subgroup_hash': 11, 'subgroup_order': 72, 'subgroup_tex': 'Q_8\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 51623144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': False, 'core_order': 48, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 51623145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 48, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 51623111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 36, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 51623112
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 36, 'counter': 11, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '288.369.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.5', 'subgroup_hash': 5, 'subgroup_order': 36, 'subgroup_tex': 'C_2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 51623113
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 36, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
  • id: 51623114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': True, 'core_order': 32, 'counter': 13, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '288.369.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': 47, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 2}
  • id: 51623115
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 24, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 51623116
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 24, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 51623117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': False, 'core_order': 24, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 51623118
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 18, 'counter': 17, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '288.369.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 51623119
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 18, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 51623120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': False, 'core_order': 16, 'counter': 19, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '288.369.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 51623122
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 16, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51623123
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 12, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 51623124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 12, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 51623125
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 12, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 51623126
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 9, 'counter': 24, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '288.369.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 3}
  • id: 51623127
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 8, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51623128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 8, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 51623129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 72, 'characteristic': False, 'core_order': 8, 'counter': 27, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '288.369.36.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 51623130
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 6, 'counter': 28, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 51623131
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 6, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 51623133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 4, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '288.369.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.18', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 51623134
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 4, 'counter': 31, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '288.369.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times C_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 51623135
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 4, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.18', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 51623136
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 3, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.222', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 222, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.C_2^4', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 51623137
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 2, 'counter': 34, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '288.369.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times C_{18}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 51623138
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 2, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '288.369.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.113', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 113, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_{18}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 51623139
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '288.369', 'ambient_counter': 369, 'ambient_order': 288, 'ambient_tex': 'C_{36}.C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 1, 'counter': 36, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '288.369.288.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '288.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '288.369', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 369, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{36}.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'L2', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 51623110
    {'ambient': '288.369', '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': '4.b1', 'complements': ['288.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6553, 6553, 6498, 6498], 'generators': [1, 144, 32, 2, 96, 4, 72], 'label': '288.369.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '4.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623111
    {'ambient': '288.369', 'aut_centralizer_order': 1536, 'aut_label': '8.a1', 'aut_quo_index': 7, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 4608, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.b1', '24.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2777, 2777, 2031, 2031], 'generators': [4, 144, 32, 96], 'label': '288.369.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.b1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623112
    {'ambient': '288.369', 'aut_centralizer_order': 384, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '36.12', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': ['36.c1'], 'conjugacy_class_count': 4, 'contained_in': ['4.b1'], 'contains': ['16.a1', '24.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1093, 1093, 625, 625], 'generators': [1, 4, 32, 96], 'label': '288.369.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.a1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '8.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.4', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623113
    {'ambient': '288.369', 'aut_centralizer_order': 384, 'aut_label': '8.c1', 'aut_quo_index': 7, 'aut_stab_index': 12, 'aut_weyl_group': '12.5', 'aut_weyl_index': 4608, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '4.c1'], 'contains': ['16.b1', '24.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [4468, 4468, 4472, 4472], 'generators': [72, 32, 144, 96], 'label': '288.369.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.c1'], 'normal_contains': ['16.b1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '16.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623114
    {'ambient': '288.369', 'aut_centralizer_order': 6, 'aut_label': '9.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '9216.u', 'aut_weyl_index': 6, 'centralizer': '4.b1', 'complements': ['32.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['18.a1', '18.b1'], 'core': '9.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9721, 9721, 9396, 9396], 'generators': [1, 2, 4, 72], 'label': '288.369.9.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['18.a1', '18.b1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': '36.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '9.1', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623115
    {'ambient': '288.369', 'aut_centralizer_order': 192, 'aut_label': '12.a1', 'aut_quo_index': 3, 'aut_stab_index': 18, 'aut_weyl_group': '16.11', 'aut_weyl_index': 3456, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 18, 'contained_in': ['4.a1', '6.a1', '6.b1'], 'contains': ['24.a1', '24.c1', '36.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5872, 5872, 5558, 5558], 'generators': [4, 72, 96, 144], 'label': '288.369.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.b1'], 'normal_contains': ['24.a1', '24.c1', '36.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '24.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623116
    {'ambient': '288.369', 'aut_centralizer_order': 1152, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 1152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.b1'], 'contains': ['24.a1', '24.b1', '36.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3818, 3818, 3411, 3411], 'generators': [1, 4, 144, 96], 'label': '288.369.12.b1', 'mobius_quo': 8, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.b1'], 'normal_contains': ['24.a1', '24.b1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623117
    {'ambient': '288.369', 'aut_centralizer_order': 72, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 16, 'aut_weyl_group': '48.48', 'aut_weyl_index': 1152, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['4.c1', '6.a1'], 'contains': ['24.c1', '36.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [7823, 7823, 8206, 8206], 'generators': [6, 72, 96, 144], 'label': '288.369.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1'], 'normal_contains': ['24.c1', '36.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '48.52', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623118
    {'ambient': '288.369', 'aut_centralizer_order': 1536, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9216, 'centralizer': '1.a1', 'complements': ['18.a1'], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '8.b1'], 'contains': ['32.a1', '48.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [722, 722, 1194, 1194], 'generators': [4, 32, 96], 'label': '288.369.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.a1', '48.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.12', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623119
    {'ambient': '288.369', 'aut_centralizer_order': 9216, 'aut_label': '16.b1', 'aut_quo_index': 35, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9216, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.c1'], 'contains': ['32.a1', '48.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2156, 2156, 3126, 3126], 'generators': [144, 32, 96], 'label': '288.369.16.b1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.c1'], 'normal_contains': ['32.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '16.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.14', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623120
    {'ambient': '288.369', 'aut_centralizer_order': 24, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '192.955', 'aut_weyl_index': 288, 'centralizer': '4.b1', 'complements': ['16.a1'], 'conjugacy_class_count': 12, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.a1', '36.c1'], 'core': '18.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9330, 9330, 9388, 9388], 'generators': [1, 6, 72], 'label': '288.369.18.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '9.a1'], 'normal_contains': ['36.a1', '36.c1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '72.18', 'quotient_action_image': '1.1', 'quotient_action_kernel': '18.2', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623121
    {'ambient': '288.369', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '1152.156667', 'aut_weyl_index': 48, 'centralizer': '4.b1', 'complements': ['144.a1'], 'conjugacy_class_count': 12, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '6.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6553, 6553, 6498, 6498], 'generators': [1, 96, 144, 6, 72, 32], 'label': '288.369.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623122
    {'ambient': '288.369', 'aut_centralizer_order': 96, 'aut_label': '18.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '192.1493', 'aut_weyl_index': 288, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '9.a1'], 'contains': ['36.a1', '36.b1'], 'core': '18.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7409, 7409, 6939, 6939], 'generators': [1, 4, 72], 'label': '288.369.18.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': ['6.b1', '9.a1'], 'normal_contains': ['36.a1', '36.b1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '36.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.1', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623123
    {'ambient': '288.369', 'aut_centralizer_order': 4608, 'aut_label': '24.a1', 'aut_quo_index': 7, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 13824, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '12.a1', '12.b1'], 'contains': ['48.a1', '48.b1', '72.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3622, 3622, 4092, 4092], 'generators': [4, 144, 96], 'label': '288.369.24.a1', 'mobius_quo': -2, 'mobius_sub': 8, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.b1', '72.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '24.15', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623124
    {'ambient': '288.369', 'aut_centralizer_order': 1152, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 4608, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '12.b1'], 'contains': ['48.a1', '72.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1744, 1744, 2160, 2160], 'generators': [1, 4, 96], 'label': '288.369.24.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.b1'], 'normal_contains': ['48.a1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '24.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.11', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623125
    {'ambient': '288.369', 'aut_centralizer_order': 1152, 'aut_label': '24.c1', 'aut_quo_index': 7, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 13824, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['8.c1', '12.a1', '12.c1'], 'contains': ['48.b1', '72.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [5562, 5562, 5765, 5765], 'generators': [72, 96, 144], 'label': '288.369.24.c1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.a1', '12.c1'], 'normal_contains': ['48.b1', '72.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '48.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623126
    {'ambient': '288.369', 'aut_centralizer_order': 9216, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 9216, 'centralizer': '1.a1', 'complements': ['9.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1'], 'contains': ['96.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [279, 279, 2281, 2281], 'generators': [32], 'label': '288.369.32.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.47', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.47', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623127
    {'ambient': '288.369', 'aut_centralizer_order': 384, 'aut_label': '36.a1', 'aut_quo_index': 3, 'aut_stab_index': 18, 'aut_weyl_group': '8.3', 'aut_weyl_index': 6912, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 18, 'contained_in': ['12.a1', '18.a1', '18.b1'], 'contains': ['72.a1', '72.c1'], 'core': '36.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6460, 6460, 6731, 6731], 'generators': [4, 72], 'label': '288.369.36.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '18.a1', '18.b1'], 'normal_contains': ['72.a1', '72.c1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '72.18', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.2', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623128
    {'ambient': '288.369', 'aut_centralizer_order': 2304, 'aut_label': '36.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 2304, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '18.b1'], 'contains': ['72.a1', '72.b1'], 'core': '36.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4830, 4830, 5032, 5032], 'generators': [1, 4, 144], 'label': '288.369.36.b1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '36.b1', 'normal_contained_in': ['12.b1', '18.b1'], 'normal_contains': ['72.a1', '72.b1'], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': '36.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.5', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623129
    {'ambient': '288.369', 'aut_centralizer_order': 144, 'aut_label': '36.c1', 'aut_quo_index': 1, 'aut_stab_index': 16, 'aut_weyl_group': '24.12', 'aut_weyl_index': 2304, 'centralizer': '4.b1', 'complements': ['8.b1'], 'conjugacy_class_count': 16, 'contained_in': ['12.c1', '18.a1'], 'contains': ['72.c1'], 'core': '36.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [8421, 8421, 8206, 8206], 'generators': [6, 72], 'label': '288.369.36.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.c1', 'normal_contained_in': ['12.c1', '18.a1'], 'normal_contains': ['72.c1'], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': '144.113', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.5', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623130
    {'ambient': '288.369', 'aut_centralizer_order': 4608, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 27648, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.a1', '24.a1', '24.b1'], 'contains': ['96.a1', '144.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1682, 1682, 2902, 2902], 'generators': [4, 96], 'label': '288.369.48.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1'], 'normal_contains': ['96.a1', '144.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '48.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.46', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623131
    {'ambient': '288.369', 'aut_centralizer_order': 27648, 'aut_label': '48.b1', 'aut_quo_index': 35, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 27648, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.a1', '24.c1'], 'contains': ['96.a1', '144.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3251, 3251, 4230, 4230], 'generators': [144, 96], 'label': '288.369.48.b1', 'mobius_quo': 1, 'mobius_sub': -64, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.c1'], 'normal_contains': ['96.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '48.52', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.52', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623132
    {'ambient': '288.369', 'aut_centralizer_order': 16, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157766', 'aut_weyl_index': 48, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '6.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4716, 4716, 4524, 4524], 'generators': [1, 96, 144, 4, 72, 32], 'label': '288.369.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623133
    {'ambient': '288.369', 'aut_centralizer_order': 9216, 'aut_label': '72.a1', 'aut_quo_index': 7, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 27648, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['24.a1', '36.a1', '36.b1'], 'contains': ['144.a1', '144.b1'], 'core': '72.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4582, 4582, 4894, 4894], 'generators': [4, 144], 'label': '288.369.72.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': ['24.a1', '36.a1', '36.b1'], 'normal_contains': ['144.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '72.18', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.18', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623134
    {'ambient': '288.369', 'aut_centralizer_order': 2304, 'aut_label': '72.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '6.1', 'aut_weyl_index': 9216, 'centralizer': '1.a1', 'complements': ['4.c1'], 'conjugacy_class_count': 4, 'contained_in': ['24.b1', '36.b1'], 'contains': ['144.a1'], 'core': '72.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [3261, 3261, 3566, 3566], 'generators': [1, 4], 'label': '288.369.72.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': ['24.b1', '36.b1'], 'normal_contains': ['144.a1'], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': '72.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.11', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623135
    {'ambient': '288.369', 'aut_centralizer_order': 2304, 'aut_label': '72.c1', 'aut_quo_index': 7, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 27648, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['24.c1', '36.a1', '36.c1'], 'contains': ['144.b1'], 'core': '72.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [6006, 6006, 6248, 6248], 'generators': [72], 'label': '288.369.72.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.c1', 'normal_contained_in': ['24.c1', '36.a1', '36.c1'], 'normal_contains': ['144.b1'], 'normalizer': '1.a1', 'old_label': '72.c1', 'projective_image': '144.113', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.5', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623136
    {'ambient': '288.369', 'aut_centralizer_order': 27648, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 27648, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1'], 'contains': ['288.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1682, 1682, 2928, 2928], 'generators': [96], 'label': '288.369.96.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1'], 'normal_contains': ['288.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '96.222', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.222', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623137
    {'ambient': '288.369', 'aut_centralizer_order': 9216, 'aut_label': '144.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 55296, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 6, 'contained_in': ['48.a1', '72.a1', '72.b1'], 'contains': ['288.a1'], 'core': '144.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3178, 3178, 3566, 3566], 'generators': [4], 'label': '288.369.144.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': ['48.a1', '72.a1', '72.b1'], 'normal_contains': ['288.a1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': '144.49', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.49', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623138
    {'ambient': '288.369', 'aut_centralizer_order': 55296, 'aut_label': '144.b1', 'aut_quo_index': 35, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 55296, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '72.a1', '72.c1'], 'contains': ['288.a1'], 'core': '144.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4211, 4211, 4558, 4558], 'generators': [144], 'label': '288.369.144.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': ['48.b1', '72.a1', '72.c1'], 'normal_contains': ['288.a1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': '144.113', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.113', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623139
    {'ambient': '288.369', 'aut_centralizer_order': None, 'aut_label': '288.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '144.a1', '144.b1'], 'contains': [], 'core': '288.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3178, 3178, 3566, 3566], 'generators': [], 'label': '288.369.288.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '288.a1', 'normal_contained_in': ['96.a1', '144.a1', '144.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '288.a1', 'projective_image': '288.369', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623140
    {'ambient': '288.369', 'aut_centralizer_order': 3, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '18432.de', 'aut_weyl_index': 3, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '9.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8751, 8751, 8120, 8120], 'generators': [1, 144, 96, 2, 4, 72], 'label': '288.369.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '9.a1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '12.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623141
    {'ambient': '288.369', 'aut_centralizer_order': 64, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 18, 'aut_weyl_group': '48.45', 'aut_weyl_index': 1152, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 18, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.c1', '12.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4602, 4602, 4049, 4049], 'generators': [4, 96, 72, 32, 144], 'label': '288.369.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.c1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 51623142
    {'ambient': '288.369', 'aut_centralizer_order': 384, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.188', 'aut_weyl_index': 384, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.b1', '12.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2796, 2796, 2298, 2298], 'generators': [1, 96, 4, 144, 32], 'label': '288.369.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.a1', '8.b1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 51623143
    {'ambient': '288.369', 'aut_centralizer_order': 24, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 16, 'aut_weyl_group': '144.188', 'aut_weyl_index': 384, 'centralizer': '4.b1', 'complements': ['72.b1'], 'conjugacy_class_count': 16, 'contained_in': ['2.a1'], 'contains': ['8.c1', '12.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [6553, 6553, 6939, 6939], 'generators': [6, 96, 72, 32, 144], 'label': '288.369.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.c1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '16.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623144
    {'ambient': '288.369', 'aut_centralizer_order': 12, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '384.17948', 'aut_weyl_index': 144, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.c1', '18.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8709, 8709, 8120, 8120], 'generators': [1, 144, 6, 72, 96], 'label': '288.369.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '18.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '24.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 51623145
    {'ambient': '288.369', 'aut_centralizer_order': 48, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '384.20089', 'aut_weyl_index': 144, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.b1', '18.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6656, 6656, 5550, 5550], 'generators': [1, 144, 4, 72, 96], 'label': '288.369.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '12.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}