Abstract group data - 480.108

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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': '48.23', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [4, 10, 4, 2, 2, 2, 2], 'aut_gens': [[1, 8, 16], [1, 8, 112], [385, 8, 24], [241, 8, 24], [3, 8, 24], [1, 8, 20], [5, 8, 16], [1, 8, 176]], 'aut_group': '2560.ec', 'aut_hash': 2078345796678895415, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2560, 'aut_permdeg': 82, 'aut_perms': [359513328256394147782439519480823942651741620897361055073661241675836016609323407715210705992818505877620276352904716091812, 359481591696357909579299324068909848536590756350554275896882815881226451113923624829785818416531341615097965812065254641285, 253738551763227767212612661818820911081312522752020933558472599809890706544647566464512134622497413084645988747752160252082, 52831632099967173275074019368315217479257945477022149213080403656369951327691222157632943489181676279509922279614541016098, 44747088274094243809315258015116313464451890585952889914235013611446229438863396288899718646485669774514971013536328956, 299421065851887804808848028661608881356376476111694418830307650737851193335574775348991867427939946969264995543134042076280, 3427961763349813179487201828013761012514593851639956168987911214523772537285902336000000000], 'aut_phi_ratio': 20.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 2, 1], [3, 1, 2, 1], [4, 1, 4, 1], [4, 2, 2, 1], [5, 2, 2, 1], [6, 1, 2, 3], [6, 2, 4, 1], [8, 10, 8, 1], [10, 2, 2, 3], [10, 2, 8, 1], [12, 1, 8, 1], [12, 2, 4, 1], [15, 2, 4, 1], [20, 2, 8, 2], [24, 10, 16, 1], [30, 2, 4, 3], [30, 2, 16, 1], [60, 2, 16, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_2^4:D_4\\times F_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '40.12', 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 40, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [3, 1, 2], [4, 1, 4], [4, 2, 2], [5, 2, 2], [6, 1, 6], [6, 2, 4], [8, 10, 8], [10, 2, 14], [12, 1, 8], [12, 2, 4], [15, 2, 4], [20, 2, 16], [24, 10, 16], [30, 2, 28], [60, 2, 32]], 'center_label': '24.9', 'center_order': 24, 'central_product': True, 'central_quotient': '20.4', 'commutator_count': 1, 'commutator_label': '10.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 108, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['160.37', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [3, 1, 2, 1], [4, 1, 2, 2], [4, 2, 2, 1], [5, 2, 2, 1], [6, 1, 2, 3], [6, 2, 2, 2], [8, 10, 4, 2], [10, 2, 2, 3], [10, 2, 4, 2], [12, 1, 4, 2], [12, 2, 4, 1], [15, 2, 4, 1], [20, 2, 4, 2], [20, 2, 8, 1], [24, 10, 8, 2], [30, 2, 4, 3], [30, 2, 8, 2], [60, 2, 8, 2], [60, 2, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 120, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '60.10', 'hash': 108, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 1, 10], 'inner_gens': [[1, 8, 312], [1, 8, 16], [201, 8, 16]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 20, 'inner_split': True, 'inner_tex': 'D_{10}', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 108]], 'label': '480.108', 'linC_count': 1024, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 140, 'linQ_dim': 12, 'linQ_dim_count': 60, 'linR_count': 352, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C60.D4', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 38, 'number_conjugacy_classes': 156, 'number_divisions': 40, 'number_normal_subgroups': 58, 'number_subgroup_autclasses': 76, 'number_subgroup_classes': 100, 'number_subgroups': 192, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 8], [5, 4], [6, 14], [8, 80], [10, 28], [12, 16], [15, 8], [20, 32], [24, 160], [30, 56], [60, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4, 4], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[3, 8, 16], [7, 8, 20], [5, 8, 184], [3, 8, 368], [241, 8, 28]], 'outer_group': '128.2154', 'outer_hash': 2154, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [40284721, 363007, 40279681, 5334, 87459246], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 8, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [4, 11], [8, 11], [16, 5], [32, 1]], 'representations': {'PC': {'code': 80745943008297989579888967687, 'gens': [1, 4, 5], 'pres': [7, -2, -2, -2, -2, 2, -3, -5, 14, 36, 10924, 102, 5381, 166, 18822]}, 'GLZN': {'d': 2, 'p': 55, 'gens': [7669476, 5324032, 3826648, 1951059, 3961541, 6899511, 5656784]}, 'Perm': {'d': 20, 'gens': [128802095674117224, 7620480, 3, 263274254953113600, 87091200, 391971468784896000, 6504]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 24], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{60}.D_4', 'transitive_degree': 240, '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: 105376077
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 108, 'group_order': 480, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 105376145
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 108, 'group_order': 480, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 4, 'size': 1}
  • id: 105376156
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 108, 'group_order': 480, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 8, 'size': 1}
  • id: 105376167
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 108, 'group_order': 480, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 12, 'size': 1}
  • id: 105376178
    {'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 108, 'group_order': 480, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 240, 'size': 2}
  • id: 105376189
    {'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 108, 'group_order': 480, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 244, 'size': 2}
  • id: 105376200
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 108, 'group_order': 480, 'label': '3A1', 'order': 3, 'powers': [8, 1, 8], 'representative': 160, 'size': 1}
  • id: 105376211
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 108, 'group_order': 480, 'label': '3A-1', 'order': 3, 'powers': [7, 1, 7], 'representative': 320, 'size': 1}
  • id: 105376222
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 108, 'group_order': 480, 'label': '4A1', 'order': 4, 'powers': [2, 10, 9], 'representative': 6, 'size': 1}
  • id: 105376078
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 108, 'group_order': 480, 'label': '4A-1', 'order': 4, 'powers': [2, 9, 10], 'representative': 2, 'size': 1}
  • id: 105376089
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 108, 'group_order': 480, 'label': '4B1', 'order': 4, 'powers': [2, 12, 11], 'representative': 14, 'size': 1}
  • id: 105376100
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 108, 'group_order': 480, 'label': '4B-1', 'order': 4, 'powers': [2, 11, 12], 'representative': 10, 'size': 1}
  • id: 105376111
    {'aut_label': '4C1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 108, 'group_order': 480, 'label': '4C1', 'order': 4, 'powers': [2, 14, 13], 'representative': 246, 'size': 2}
  • id: 105376122
    {'aut_label': '4C1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 108, 'group_order': 480, 'label': '4C-1', 'order': 4, 'powers': [2, 13, 14], 'representative': 242, 'size': 2}
  • id: 105376133
    {'aut_label': '5A1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 108, 'group_order': 480, 'label': '5A1', 'order': 5, 'powers': [16, 16, 1], 'representative': 192, 'size': 2}
  • id: 105376141
    {'aut_label': '5A1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 108, 'group_order': 480, 'label': '5A2', 'order': 5, 'powers': [15, 15, 1], 'representative': 384, 'size': 2}
  • id: 105376142
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 108, 'group_order': 480, 'label': '6A1', 'order': 6, 'powers': [7, 2, 18], 'representative': 324, 'size': 1}
  • id: 105376143
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 108, 'group_order': 480, 'label': '6A-1', 'order': 6, 'powers': [8, 2, 17], 'representative': 164, 'size': 1}
  • id: 105376144
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 108, 'group_order': 480, 'label': '6B1', 'order': 6, 'powers': [8, 3, 20], 'representative': 168, 'size': 1}
  • id: 105376146
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 108, 'group_order': 480, 'label': '6B-1', 'order': 6, 'powers': [7, 3, 19], 'representative': 328, 'size': 1}
  • id: 105376147
    {'aut_label': '6C1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 108, 'group_order': 480, 'label': '6C1', 'order': 6, 'powers': [8, 4, 22], 'representative': 172, 'size': 1}
  • id: 105376148
    {'aut_label': '6C1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 108, 'group_order': 480, 'label': '6C-1', 'order': 6, 'powers': [7, 4, 21], 'representative': 332, 'size': 1}
  • id: 105376149
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 108, 'group_order': 480, 'label': '6D1', 'order': 6, 'powers': [7, 5, 24], 'representative': 80, 'size': 2}
  • id: 105376150
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 108, 'group_order': 480, 'label': '6D-1', 'order': 6, 'powers': [8, 5, 23], 'representative': 400, 'size': 2}
  • id: 105376151
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 108, 'group_order': 480, 'label': '6E1', 'order': 6, 'powers': [7, 6, 26], 'representative': 84, 'size': 2}
  • id: 105376152
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 108, 'group_order': 480, 'label': '6E-1', 'order': 6, 'powers': [8, 6, 25], 'representative': 404, 'size': 2}
  • id: 105376153
    {'aut_label': '8A1', 'centralizer': '10.b1.a1', 'counter': 27, 'group_counter': 108, 'group_order': 480, 'label': '8A1', 'order': 8, 'powers': [9, 29, 30], 'representative': 195, 'size': 10}
  • id: 105376154
    {'aut_label': '8A1', 'centralizer': '10.b1.a1', 'counter': 28, 'group_counter': 108, 'group_order': 480, 'label': '8A-1', 'order': 8, 'powers': [10, 30, 29], 'representative': 197, 'size': 10}
  • id: 105376155
    {'aut_label': '8A1', 'centralizer': '10.b1.a1', 'counter': 29, 'group_counter': 108, 'group_order': 480, 'label': '8A3', 'order': 8, 'powers': [10, 27, 28], 'representative': 193, 'size': 10}
  • id: 105376157
    {'aut_label': '8A1', 'centralizer': '10.b1.a1', 'counter': 30, 'group_counter': 108, 'group_order': 480, 'label': '8A-3', 'order': 8, 'powers': [9, 28, 27], 'representative': 199, 'size': 10}
  • id: 105376158
    {'aut_label': '8A1', 'centralizer': '10.b1.b1', 'counter': 31, 'group_counter': 108, 'group_order': 480, 'label': '8B1', 'order': 8, 'powers': [11, 33, 34], 'representative': 347, 'size': 10}
  • id: 105376159
    {'aut_label': '8A1', 'centralizer': '10.b1.b1', 'counter': 32, 'group_counter': 108, 'group_order': 480, 'label': '8B-1', 'order': 8, 'powers': [12, 34, 33], 'representative': 341, 'size': 10}
  • id: 105376160
    {'aut_label': '8A1', 'centralizer': '10.b1.b1', 'counter': 33, 'group_counter': 108, 'group_order': 480, 'label': '8B3', 'order': 8, 'powers': [12, 31, 32], 'representative': 337, 'size': 10}
  • id: 105376161
    {'aut_label': '8A1', 'centralizer': '10.b1.b1', 'counter': 34, 'group_counter': 108, 'group_order': 480, 'label': '8B-3', 'order': 8, 'powers': [11, 32, 31], 'representative': 351, 'size': 10}
  • id: 105376162
    {'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 108, 'group_order': 480, 'label': '10A1', 'order': 10, 'powers': [15, 36, 3], 'representative': 104, 'size': 2}
  • id: 105376163
    {'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 108, 'group_order': 480, 'label': '10A3', 'order': 10, 'powers': [16, 35, 3], 'representative': 296, 'size': 2}
  • id: 105376164
    {'aut_label': '10B1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 108, 'group_order': 480, 'label': '10B1', 'order': 10, 'powers': [15, 38, 4], 'representative': 108, 'size': 2}
  • id: 105376165
    {'aut_label': '10B1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 108, 'group_order': 480, 'label': '10B3', 'order': 10, 'powers': [16, 37, 4], 'representative': 300, 'size': 2}
  • id: 105376166
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 108, 'group_order': 480, 'label': '10C1', 'order': 10, 'powers': [16, 40, 2], 'representative': 196, 'size': 2}
  • id: 105376168
    {'aut_label': '10C1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 108, 'group_order': 480, 'label': '10C3', 'order': 10, 'powers': [15, 39, 2], 'representative': 100, 'size': 2}
  • id: 105376169
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 108, 'group_order': 480, 'label': '10D1', 'order': 10, 'powers': [16, 43, 5], 'representative': 48, 'size': 2}
  • id: 105376170
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 108, 'group_order': 480, 'label': '10D-1', 'order': 10, 'powers': [16, 44, 5], 'representative': 432, 'size': 2}
  • id: 105376171
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 108, 'group_order': 480, 'label': '10D3', 'order': 10, 'powers': [15, 42, 5], 'representative': 144, 'size': 2}
  • id: 105376172
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 108, 'group_order': 480, 'label': '10D-3', 'order': 10, 'powers': [15, 41, 5], 'representative': 336, 'size': 2}
  • id: 105376173
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 108, 'group_order': 480, 'label': '10E1', 'order': 10, 'powers': [16, 47, 6], 'representative': 52, 'size': 2}
  • id: 105376174
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 108, 'group_order': 480, 'label': '10E-1', 'order': 10, 'powers': [16, 48, 6], 'representative': 436, 'size': 2}
  • id: 105376175
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 108, 'group_order': 480, 'label': '10E3', 'order': 10, 'powers': [15, 46, 6], 'representative': 148, 'size': 2}
  • id: 105376176
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 108, 'group_order': 480, 'label': '10E-3', 'order': 10, 'powers': [15, 45, 6], 'representative': 340, 'size': 2}
  • id: 105376177
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 108, 'group_order': 480, 'label': '12A1', 'order': 12, 'powers': [17, 9, 51], 'representative': 162, 'size': 1}
  • id: 105376179
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 108, 'group_order': 480, 'label': '12A-1', 'order': 12, 'powers': [18, 10, 52], 'representative': 326, 'size': 1}
  • id: 105376180
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 108, 'group_order': 480, 'label': '12A5', 'order': 12, 'powers': [18, 9, 49], 'representative': 322, 'size': 1}
  • id: 105376181
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 108, 'group_order': 480, 'label': '12A-5', 'order': 12, 'powers': [17, 10, 50], 'representative': 166, 'size': 1}
  • id: 105376182
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 108, 'group_order': 480, 'label': '12B1', 'order': 12, 'powers': [18, 11, 55], 'representative': 330, 'size': 1}
  • id: 105376183
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 108, 'group_order': 480, 'label': '12B-1', 'order': 12, 'powers': [17, 12, 56], 'representative': 174, 'size': 1}
  • id: 105376184
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 108, 'group_order': 480, 'label': '12B5', 'order': 12, 'powers': [17, 11, 53], 'representative': 170, 'size': 1}
  • id: 105376185
    {'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 108, 'group_order': 480, 'label': '12B-5', 'order': 12, 'powers': [18, 12, 54], 'representative': 334, 'size': 1}
  • id: 105376186
    {'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 108, 'group_order': 480, 'label': '12C1', 'order': 12, 'powers': [18, 13, 59], 'representative': 82, 'size': 2}
  • id: 105376187
    {'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 108, 'group_order': 480, 'label': '12C-1', 'order': 12, 'powers': [17, 14, 60], 'representative': 406, 'size': 2}
  • id: 105376188
    {'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 108, 'group_order': 480, 'label': '12C5', 'order': 12, 'powers': [17, 13, 57], 'representative': 402, 'size': 2}
  • id: 105376190
    {'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 108, 'group_order': 480, 'label': '12C-5', 'order': 12, 'powers': [18, 14, 58], 'representative': 86, 'size': 2}
  • id: 105376191
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 108, 'group_order': 480, 'label': '15A1', 'order': 15, 'powers': [63, 15, 8], 'representative': 64, 'size': 2}
  • id: 105376192
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 108, 'group_order': 480, 'label': '15A-1', 'order': 15, 'powers': [64, 15, 7], 'representative': 416, 'size': 2}
  • id: 105376193
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 108, 'group_order': 480, 'label': '15A2', 'order': 15, 'powers': [61, 16, 7], 'representative': 128, 'size': 2}
  • id: 105376194
    {'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 108, 'group_order': 480, 'label': '15A-2', 'order': 15, 'powers': [62, 16, 8], 'representative': 352, 'size': 2}
  • id: 105376195
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 108, 'group_order': 480, 'label': '20A1', 'order': 20, 'powers': [39, 67, 9], 'representative': 102, 'size': 2}
  • id: 105376196
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 108, 'group_order': 480, 'label': '20A-1', 'order': 20, 'powers': [39, 68, 10], 'representative': 386, 'size': 2}
  • id: 105376197
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 108, 'group_order': 480, 'label': '20A3', 'order': 20, 'powers': [40, 65, 10], 'representative': 290, 'size': 2}
  • id: 105376198
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 108, 'group_order': 480, 'label': '20A-3', 'order': 20, 'powers': [40, 66, 9], 'representative': 198, 'size': 2}
  • id: 105376199
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 108, 'group_order': 480, 'label': '20B1', 'order': 20, 'powers': [39, 71, 11], 'representative': 110, 'size': 2}
  • id: 105376201
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 108, 'group_order': 480, 'label': '20B-1', 'order': 20, 'powers': [39, 72, 12], 'representative': 394, 'size': 2}
  • id: 105376202
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 108, 'group_order': 480, 'label': '20B3', 'order': 20, 'powers': [40, 69, 12], 'representative': 298, 'size': 2}
  • id: 105376203
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 108, 'group_order': 480, 'label': '20B-3', 'order': 20, 'powers': [40, 70, 11], 'representative': 206, 'size': 2}
  • id: 105376204
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 108, 'group_order': 480, 'label': '20C1', 'order': 20, 'powers': [40, 75, 13], 'representative': 54, 'size': 2}
  • id: 105376205
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 108, 'group_order': 480, 'label': '20C-1', 'order': 20, 'powers': [40, 76, 14], 'representative': 434, 'size': 2}
  • id: 105376206
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 108, 'group_order': 480, 'label': '20C3', 'order': 20, 'powers': [39, 79, 14], 'representative': 146, 'size': 2}
  • id: 105376207
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 108, 'group_order': 480, 'label': '20C-3', 'order': 20, 'powers': [39, 80, 13], 'representative': 342, 'size': 2}
  • id: 105376208
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 108, 'group_order': 480, 'label': '20C7', 'order': 20, 'powers': [39, 73, 14], 'representative': 338, 'size': 2}
  • id: 105376209
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 108, 'group_order': 480, 'label': '20C-7', 'order': 20, 'powers': [39, 74, 13], 'representative': 150, 'size': 2}
  • id: 105376210
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 108, 'group_order': 480, 'label': '20C9', 'order': 20, 'powers': [40, 77, 13], 'representative': 438, 'size': 2}
  • id: 105376212
    {'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 108, 'group_order': 480, 'label': '20C-9', 'order': 20, 'powers': [40, 78, 14], 'representative': 50, 'size': 2}
  • id: 105376213
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 81, 'group_counter': 108, 'group_order': 480, 'label': '24A1', 'order': 24, 'powers': [49, 27, 83], 'representative': 33, 'size': 10}
  • id: 105376214
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 82, 'group_counter': 108, 'group_order': 480, 'label': '24A-1', 'order': 24, 'powers': [50, 28, 84], 'representative': 71, 'size': 10}
  • id: 105376215
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 83, 'group_counter': 108, 'group_order': 480, 'label': '24A5', 'order': 24, 'powers': [51, 30, 81], 'representative': 69, 'size': 10}
  • id: 105376216
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 84, 'group_counter': 108, 'group_order': 480, 'label': '24A-5', 'order': 24, 'powers': [52, 29, 82], 'representative': 35, 'size': 10}
  • id: 105376217
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 85, 'group_counter': 108, 'group_order': 480, 'label': '24A7', 'order': 24, 'powers': [52, 28, 87], 'representative': 39, 'size': 10}
  • id: 105376218
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 86, 'group_counter': 108, 'group_order': 480, 'label': '24A-7', 'order': 24, 'powers': [51, 27, 88], 'representative': 65, 'size': 10}
  • id: 105376219
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 87, 'group_counter': 108, 'group_order': 480, 'label': '24A11', 'order': 24, 'powers': [50, 29, 85], 'representative': 67, 'size': 10}
  • id: 105376220
    {'aut_label': '24A1', 'centralizer': '10.b1.a1', 'counter': 88, 'group_counter': 108, 'group_order': 480, 'label': '24A-11', 'order': 24, 'powers': [49, 30, 86], 'representative': 37, 'size': 10}
  • id: 105376221
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 89, 'group_counter': 108, 'group_order': 480, 'label': '24B1', 'order': 24, 'powers': [53, 31, 91], 'representative': 17, 'size': 10}
  • id: 105376223
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 90, 'group_counter': 108, 'group_order': 480, 'label': '24B-1', 'order': 24, 'powers': [54, 32, 92], 'representative': 87, 'size': 10}
  • id: 105376224
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 91, 'group_counter': 108, 'group_order': 480, 'label': '24B5', 'order': 24, 'powers': [55, 34, 89], 'representative': 85, 'size': 10}
  • id: 105376225
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 92, 'group_counter': 108, 'group_order': 480, 'label': '24B-5', 'order': 24, 'powers': [56, 33, 90], 'representative': 19, 'size': 10}
  • id: 105376226
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 93, 'group_counter': 108, 'group_order': 480, 'label': '24B7', 'order': 24, 'powers': [56, 32, 95], 'representative': 23, 'size': 10}
  • id: 105376227
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 94, 'group_counter': 108, 'group_order': 480, 'label': '24B-7', 'order': 24, 'powers': [55, 31, 96], 'representative': 81, 'size': 10}
  • id: 105376228
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 95, 'group_counter': 108, 'group_order': 480, 'label': '24B11', 'order': 24, 'powers': [54, 33, 93], 'representative': 83, 'size': 10}
  • id: 105376229
    {'aut_label': '24A1', 'centralizer': '10.b1.b1', 'counter': 96, 'group_counter': 108, 'group_order': 480, 'label': '24B-11', 'order': 24, 'powers': [53, 34, 94], 'representative': 21, 'size': 10}
  • id: 105376230
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 108, 'group_order': 480, 'label': '30A1', 'order': 30, 'powers': [61, 35, 19], 'representative': 40, 'size': 2}
  • id: 105376231
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 108, 'group_order': 480, 'label': '30A-1', 'order': 30, 'powers': [62, 35, 20], 'representative': 360, 'size': 2}
  • id: 105376232
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 108, 'group_order': 480, 'label': '30A7', 'order': 30, 'powers': [64, 36, 19], 'representative': 232, 'size': 2}
  • id: 105376079
    {'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 108, 'group_order': 480, 'label': '30A-7', 'order': 30, 'powers': [63, 36, 20], 'representative': 72, 'size': 2}
  • id: 105376080
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 108, 'group_order': 480, 'label': '30B1', 'order': 30, 'powers': [61, 37, 21], 'representative': 44, 'size': 2}
  • id: 105376081
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 108, 'group_order': 480, 'label': '30B-1', 'order': 30, 'powers': [62, 37, 22], 'representative': 364, 'size': 2}
  • id: 105376082
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 108, 'group_order': 480, 'label': '30B7', 'order': 30, 'powers': [64, 38, 21], 'representative': 236, 'size': 2}
  • id: 105376083
    {'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 108, 'group_order': 480, 'label': '30B-7', 'order': 30, 'powers': [63, 38, 22], 'representative': 76, 'size': 2}
  • id: 105376084
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 108, 'group_order': 480, 'label': '30C1', 'order': 30, 'powers': [63, 39, 17], 'representative': 68, 'size': 2}
  • id: 105376085
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 108, 'group_order': 480, 'label': '30C-1', 'order': 30, 'powers': [64, 39, 18], 'representative': 420, 'size': 2}
  • id: 105376086
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 108, 'group_order': 480, 'label': '30C7', 'order': 30, 'powers': [62, 40, 17], 'representative': 452, 'size': 2}
  • id: 105376087
    {'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 108, 'group_order': 480, 'label': '30C-7', 'order': 30, 'powers': [61, 40, 18], 'representative': 36, 'size': 2}
  • id: 105376088
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 108, 'group_order': 480, 'label': '30D1', 'order': 30, 'powers': [63, 41, 23], 'representative': 16, 'size': 2}
  • id: 105376090
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 108, 'group_order': 480, 'label': '30D-1', 'order': 30, 'powers': [64, 42, 24], 'representative': 464, 'size': 2}
  • id: 105376091
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 108, 'group_order': 480, 'label': '30D7', 'order': 30, 'powers': [62, 44, 23], 'representative': 112, 'size': 2}
  • id: 105376092
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 108, 'group_order': 480, 'label': '30D-7', 'order': 30, 'powers': [61, 43, 24], 'representative': 368, 'size': 2}
  • id: 105376093
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 108, 'group_order': 480, 'label': '30D11', 'order': 30, 'powers': [64, 41, 24], 'representative': 176, 'size': 2}
  • id: 105376094
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 108, 'group_order': 480, 'label': '30D-11', 'order': 30, 'powers': [63, 42, 23], 'representative': 24, 'size': 2}
  • id: 105376095
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 108, 'group_order': 480, 'label': '30D13', 'order': 30, 'powers': [62, 43, 23], 'representative': 208, 'size': 2}
  • id: 105376096
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 108, 'group_order': 480, 'label': '30D-13', 'order': 30, 'powers': [61, 44, 24], 'representative': 272, 'size': 2}
  • id: 105376097
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 108, 'group_order': 480, 'label': '30E1', 'order': 30, 'powers': [63, 45, 25], 'representative': 20, 'size': 2}
  • id: 105376098
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 108, 'group_order': 480, 'label': '30E-1', 'order': 30, 'powers': [64, 46, 26], 'representative': 468, 'size': 2}
  • id: 105376099
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 108, 'group_order': 480, 'label': '30E7', 'order': 30, 'powers': [62, 48, 25], 'representative': 116, 'size': 2}
  • id: 105376101
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 108, 'group_order': 480, 'label': '30E-7', 'order': 30, 'powers': [61, 47, 26], 'representative': 372, 'size': 2}
  • id: 105376102
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 108, 'group_order': 480, 'label': '30E11', 'order': 30, 'powers': [64, 45, 26], 'representative': 180, 'size': 2}
  • id: 105376103
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 108, 'group_order': 480, 'label': '30E-11', 'order': 30, 'powers': [63, 46, 25], 'representative': 28, 'size': 2}
  • id: 105376104
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 108, 'group_order': 480, 'label': '30E13', 'order': 30, 'powers': [62, 47, 25], 'representative': 212, 'size': 2}
  • id: 105376105
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 108, 'group_order': 480, 'label': '30E-13', 'order': 30, 'powers': [61, 48, 26], 'representative': 276, 'size': 2}
  • id: 105376106
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 108, 'group_order': 480, 'label': '60A1', 'order': 60, 'powers': [105, 65, 49], 'representative': 34, 'size': 2}
  • id: 105376107
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 108, 'group_order': 480, 'label': '60A-1', 'order': 60, 'powers': [106, 66, 50], 'representative': 358, 'size': 2}
  • id: 105376108
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 108, 'group_order': 480, 'label': '60A7', 'order': 60, 'powers': [107, 67, 52], 'representative': 230, 'size': 2}
  • id: 105376109
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 108, 'group_order': 480, 'label': '60A-7', 'order': 60, 'powers': [108, 68, 51], 'representative': 66, 'size': 2}
  • id: 105376110
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 108, 'group_order': 480, 'label': '60A13', 'order': 60, 'powers': [107, 68, 49], 'representative': 226, 'size': 2}
  • id: 105376112
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 108, 'group_order': 480, 'label': '60A-13', 'order': 60, 'powers': [108, 67, 50], 'representative': 70, 'size': 2}
  • id: 105376113
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 108, 'group_order': 480, 'label': '60A19', 'order': 60, 'powers': [105, 66, 52], 'representative': 38, 'size': 2}
  • id: 105376114
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 108, 'group_order': 480, 'label': '60A-19', 'order': 60, 'powers': [106, 65, 51], 'representative': 354, 'size': 2}
  • id: 105376115
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 108, 'group_order': 480, 'label': '60B1', 'order': 60, 'powers': [105, 69, 55], 'representative': 42, 'size': 2}
  • id: 105376116
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 108, 'group_order': 480, 'label': '60B-1', 'order': 60, 'powers': [106, 70, 56], 'representative': 366, 'size': 2}
  • id: 105376117
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 108, 'group_order': 480, 'label': '60B7', 'order': 60, 'powers': [107, 71, 54], 'representative': 238, 'size': 2}
  • id: 105376118
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 108, 'group_order': 480, 'label': '60B-7', 'order': 60, 'powers': [108, 72, 53], 'representative': 74, 'size': 2}
  • id: 105376119
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 108, 'group_order': 480, 'label': '60B13', 'order': 60, 'powers': [107, 72, 55], 'representative': 234, 'size': 2}
  • id: 105376120
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 108, 'group_order': 480, 'label': '60B-13', 'order': 60, 'powers': [108, 71, 56], 'representative': 78, 'size': 2}
  • id: 105376121
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 108, 'group_order': 480, 'label': '60B19', 'order': 60, 'powers': [105, 70, 54], 'representative': 46, 'size': 2}
  • id: 105376123
    {'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 108, 'group_order': 480, 'label': '60B-19', 'order': 60, 'powers': [106, 69, 53], 'representative': 362, 'size': 2}
  • id: 105376124
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 108, 'group_order': 480, 'label': '60C1', 'order': 60, 'powers': [108, 73, 57], 'representative': 18, 'size': 2}
  • id: 105376125
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 108, 'group_order': 480, 'label': '60C-1', 'order': 60, 'powers': [107, 74, 58], 'representative': 470, 'size': 2}
  • id: 105376126
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 108, 'group_order': 480, 'label': '60C7', 'order': 60, 'powers': [106, 77, 60], 'representative': 118, 'size': 2}
  • id: 105376127
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 108, 'group_order': 480, 'label': '60C-7', 'order': 60, 'powers': [105, 78, 59], 'representative': 370, 'size': 2}
  • id: 105376128
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 108, 'group_order': 480, 'label': '60C11', 'order': 60, 'powers': [107, 80, 58], 'representative': 182, 'size': 2}
  • id: 105376129
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 108, 'group_order': 480, 'label': '60C-11', 'order': 60, 'powers': [108, 79, 57], 'representative': 26, 'size': 2}
  • id: 105376130
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 108, 'group_order': 480, 'label': '60C13', 'order': 60, 'powers': [106, 78, 57], 'representative': 210, 'size': 2}
  • id: 105376131
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 108, 'group_order': 480, 'label': '60C-13', 'order': 60, 'powers': [105, 77, 58], 'representative': 278, 'size': 2}
  • id: 105376132
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 108, 'group_order': 480, 'label': '60C17', 'order': 60, 'powers': [105, 76, 59], 'representative': 274, 'size': 2}
  • id: 105376134
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 108, 'group_order': 480, 'label': '60C-17', 'order': 60, 'powers': [106, 75, 60], 'representative': 214, 'size': 2}
  • id: 105376135
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 108, 'group_order': 480, 'label': '60C19', 'order': 60, 'powers': [108, 74, 60], 'representative': 30, 'size': 2}
  • id: 105376136
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 108, 'group_order': 480, 'label': '60C-19', 'order': 60, 'powers': [107, 73, 59], 'representative': 178, 'size': 2}
  • id: 105376137
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 108, 'group_order': 480, 'label': '60C23', 'order': 60, 'powers': [105, 75, 58], 'representative': 374, 'size': 2}
  • id: 105376138
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 108, 'group_order': 480, 'label': '60C-23', 'order': 60, 'powers': [106, 76, 57], 'representative': 114, 'size': 2}
  • id: 105376139
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 108, 'group_order': 480, 'label': '60C29', 'order': 60, 'powers': [107, 79, 59], 'representative': 466, 'size': 2}
  • id: 105376140
    {'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 108, 'group_order': 480, 'label': '60C-29', 'order': 60, 'powers': [108, 80, 60], 'representative': 22, '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: 3414775
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1a', '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], 'schur_index': 1}
  • id: 3414786
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1b', '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], 'schur_index': 1}
  • id: 3414797
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1c', '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], 'schur_index': 1}
  • id: 3414808
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1d', '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], 'schur_index': 1}
  • id: 3414810
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 3414811
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 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, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2], 'schur_index': 1}
  • id: 3414812
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 3414813
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1h', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, 2, 2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 3414814
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1i', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, 2, 2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 3414776
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1j', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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], 'schur_index': 1}
  • id: 3414783
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, 2, -2, -2, 2, 2, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 2, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2], 'schur_index': 1}
  • id: 3414784
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 2, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2], 'schur_index': 1}
  • id: 3414777
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1k', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -4, 4, -4, -4, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3414778
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1l', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, -4, 4, 4, -4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3414779
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1m', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -2, -2, -4, -4, -4, -4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 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, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2], 'schur_index': 1}
  • id: 3414780
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1n', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 3414785
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2c', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3414787
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2d', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, -4, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, -4, 0, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3414788
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2e', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, -4, -4, -1, -1, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -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: 3414789
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2f', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -2, -2, -4, -4, 4, 4, 0, 0, 4, 4, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, -4, -4, 0, 0, 4, -4, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, 4, -4, -4, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -2, 0, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2], 'schur_index': 1}
  • id: 3414790
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2g', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -2, -2, 4, 4, -4, -4, 0, 0, 4, 4, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, -4, -4, 0, 0, 4, -4, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -4, 4, 4, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -2, 0, -2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2], 'schur_index': 1}
  • id: 3414791
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2h', 'multiplicity': 2, 'nt': [20, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, 4, -1, -1, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 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': 2}
  • id: 3414792
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2i', 'multiplicity': 2, 'nt': [20, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 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': 2}
  • id: 3414781
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1o', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -4, -4, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, -8, 8, 8, 8, 8, -8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, -4, 4, -4, -4, 4, -4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3414782
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.1p', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, -4, -4, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, -8, 8, -8, 8, 8, -8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, 4, -4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3414793
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2j', 'multiplicity': 4, 'nt': [15, 3], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, 8, 8, 8, 8, 8, 8, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3414794
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2k', 'multiplicity': 4, 'nt': [20, 7], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 8, 8, -8, -8, 8, 8, 0, 0, -2, -2, -8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, -8, -8, -8, -8, 8, 8, 8, 8, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -2, 0, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2], 'schur_index': 1}
  • id: 3414795
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2l', 'multiplicity': 4, 'nt': [20, 7], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 8, 8, 8, 8, -8, -8, 0, 0, -2, -2, -8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 8, 8, 8, 8, -8, -8, -8, -8, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -2, 0, -2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2], 'schur_index': 1}
  • id: 3414796
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2m', 'multiplicity': 4, 'nt': [24, 16], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, -8, -8, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3414798
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2n', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, 8, 8, 8, 8, -8, -8, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 1, 1, 1, 1, -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, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 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: 3414799
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2o', 'multiplicity': 4, 'nt': [40, 3], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, -8, 8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, -2, 2, 2, 2, -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], 'schur_index': 2}
  • id: 3414800
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2p', 'multiplicity': 4, 'nt': [40, 3], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, 2, 2, 2, -2, 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], 'schur_index': 2}
  • id: 3414801
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2q', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, -8, -8, -8, -8, 8, 8, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 1, 1, 1, 1, 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, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -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: 3414802
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2r', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, -8, -8, -8, -8, -8, -8, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3414803
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2s', 'multiplicity': 8, 'nt': [40, 17], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, -4, -4, 16, 16, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3414804
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2t', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, -8, -8, -16, -16, 16, 16, 0, 0, -4, -4, 8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 4, 4, 0, 0, -4, 4, 0, 0, 8, 8, 8, 8, -8, -8, -8, -8, 0, 0, 0, 0, 2, 2, 2, 2, -4, 4, 4, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 2, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2], 'schur_index': 1}
  • id: 3414805
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2u', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, -8, -8, 16, 16, -16, -16, 0, 0, -4, -4, 8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 4, 4, 0, 0, -4, 4, 0, 0, -8, -8, -8, -8, 8, 8, 8, 8, 0, 0, 0, 0, 2, 2, 2, 2, 4, -4, -4, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 2, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2], 'schur_index': 1}
  • id: 3414806
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2v', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, -8, -8, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, 8, -8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 3414807
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2w', 'multiplicity': 8, 'nt': [120, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 16, -16, -8, -8, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, 4, -4, -4, 4, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, -2, 2, -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], 'schur_index': 1}
  • id: 3414809
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '480.108', 'group_order': 480, 'image': None, 'label': '480.108.2x', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, -8, -8, -16, -16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, -4, 0, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], '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: 4782175
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 480, 'label': '480.108.1a', '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]]]}
  • id: 4782243
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 240, 'label': '480.108.1b', '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]]]}
  • id: 4782254
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 240, 'label': '480.108.1c', '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]]]}
  • id: 4782265
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 240, 'label': '480.108.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 4782276
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 160, 'label': '480.108.1e1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]]]}
  • id: 4782287
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 160, 'label': '480.108.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]]]}
  • id: 4782298
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 120, 'label': '480.108.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-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: 4782309
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 120, 'label': '480.108.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-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: 4782320
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  • id: 4782176
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 120, 'label': '480.108.1g2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 4782187
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 80, 'label': '480.108.1h1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]]]}
  • id: 4782198
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 80, 'label': '480.108.1h2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]]]}
  • id: 4782209
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 80, 'label': '480.108.1i1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]]]}
  • id: 4782220
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 80, 'label': '480.108.1i2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]]]}
  • id: 4782231
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 80, 'label': '480.108.1j1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]]]}
  • id: 4782239
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 80, 'label': '480.108.1j2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]]]}
  • id: 4782240
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 17, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.b1', 'kernel_order': 60, 'label': '480.108.1k1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-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, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 4782241
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 18, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.b1', 'kernel_order': 60, 'label': '480.108.1k2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[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, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 4782242
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 19, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.b1', 'kernel_order': 60, 'label': '480.108.1k3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[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, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]]]}
  • id: 4782244
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 20, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.b1', 'kernel_order': 60, 'label': '480.108.1k4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-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, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]]]}
  • id: 4782245
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 21, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 60, 'label': '480.108.1l1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[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, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 4782246
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 22, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 60, 'label': '480.108.1l2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-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, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 4782247
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 23, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 60, 'label': '480.108.1l3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-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, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 4782248
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 24, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.c1.a1', 'kernel_order': 60, 'label': '480.108.1l4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[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, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 4782249
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 25, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 40, 'label': '480.108.1m1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[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, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]]]}
  • id: 4782250
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 26, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 40, 'label': '480.108.1m2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-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, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]]]}
  • id: 4782251
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 27, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 40, 'label': '480.108.1m3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-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, 0]], [[-1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 2]]]}
  • id: 4782252
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 28, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.c1.a1', 'kernel_order': 40, 'label': '480.108.1m4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[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, 0]], [[-1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]]]}
  • id: 4782253
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 29, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 40, 'label': '480.108.1n1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-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, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]]]}
  • id: 4782255
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 30, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 40, 'label': '480.108.1n2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[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, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]]]}
  • id: 4782256
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 31, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 40, 'label': '480.108.1n3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[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, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]]]}
  • id: 4782257
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 32, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.a1.a1', 'kernel_order': 40, 'label': '480.108.1n4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-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, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 4]]]}
  • id: 4782258
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 33, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-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, 0]], [[1, 0]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 5]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]]]}
  • id: 4782259
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 34, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 7]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[1, 11]], [[1, 7]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]]]}
  • id: 4782260
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 35, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[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, 0]], [[1, 0]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 5]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 5]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]]]}
  • id: 4782261
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 36, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 7]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 11]], [[-1, 5]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[1, 2]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]]]}
  • id: 4782262
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 37, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 11]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 7]], [[1, 5]], [[1, 11]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[-1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]]]}
  • id: 4782263
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 38, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-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, 0]], [[1, 0]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 1]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 11]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]]]}
  • id: 4782264
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 39, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 11]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 5]], [[1, 7]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 4]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]]]}
  • id: 4782266
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 40, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.b1', 'kernel_order': 20, 'label': '480.108.1o8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 8]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[1, 9]], [[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, 0]], [[1, 0]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 1]], [[-1, 11]], [[1, 7]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 11]], [[1, 5]], [[1, 5]], [[-1, 11]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]]]}
  • id: 4782267
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 41, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p1', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[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, 0]], [[-1, 0]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 5]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 11]], [[1, 5]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]]]}
  • id: 4782268
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 42, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p2', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 7]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]]]}
  • id: 4782269
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 43, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p3', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-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, 0]], [[-1, 0]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 5]], [[1, 7]], [[1, 11]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]]]}
  • id: 4782270
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 44, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p4', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 5]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]], [[-1, 2]]]}
  • id: 4782271
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 45, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p5', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 9]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 11]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[1, 5]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[1, 5]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]]]}
  • id: 4782272
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 46, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p6', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[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, 0]], [[-1, 0]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]]]}
  • id: 4782273
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 47, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p7', 'nt': [24, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 4]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 9]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 9]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 11]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[1, 7]], [[1, 11]], [[-1, 7]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]]]}
  • id: 4782274
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 480, 'counter': 48, 'cyclotomic_n': 24, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.2', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 20, 'label': '480.108.1p8', 'nt': [24, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 4]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0]], [[1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-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, 0]], [[-1, 0]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 1]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 11]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[1, 2]]]}
  • id: 4782275
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 49, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.b1', 'kernel_order': 60, 'label': '480.108.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]]]}
  • id: 4782277
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 50, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 60, 'label': '480.108.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]]]}
  • id: 4782278
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 51, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 48, 'label': '480.108.2c1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 4782279
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 52, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1.a1', 'kernel_order': 48, 'label': '480.108.2c2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 4782280
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 53, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 30, 'label': '480.108.2d1', 'nt': [8, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-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]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]]]}
  • id: 4782281
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 54, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 30, 'label': '480.108.2d2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[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]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]]]}
  • id: 4782282
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 55, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1.a1', 'kernel_order': 24, 'label': '480.108.2e1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]]]}
  • id: 4782283
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 56, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1.a1', 'kernel_order': 24, 'label': '480.108.2e2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]]]}
  • id: 4782284
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 57, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 20, 'label': '480.108.2f1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 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]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[0, 0]], [[2, 1]], [[2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, -1]]]}
  • id: 4782285
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 58, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 20, 'label': '480.108.2f2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 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]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[-2, -1]], [[2, -1]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[0, 0]], [[2, -1]], [[2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[-2, 1]]]}
  • id: 4782286
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 59, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 20, 'label': '480.108.2g1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 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]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, -1]]]}
  • id: 4782288
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 60, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 20, 'label': '480.108.2g2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 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]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[-2, -1]], [[2, -1]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[2, -1]], [[0, 0]], [[2, 1]]]}
  • id: 4782289
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 61, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.c1.a1', 'kernel_order': 24, 'label': '480.108.2h1', 'nt': [20, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 4782290
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 62, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.c1.a1', 'kernel_order': 24, 'label': '480.108.2h2', 'nt': [20, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 4782291
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 63, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.a1.a1', 'kernel_order': 24, 'label': '480.108.2i1', 'nt': [20, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 4782292
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 64, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.a1.a1', 'kernel_order': 24, 'label': '480.108.2i2', 'nt': [20, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 4782293
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 65, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 16, 'label': '480.108.2j1', 'nt': [15, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -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]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]]]}
  • id: 4782294
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  • id: 4782295
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 67, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 16, 'label': '480.108.2j3', 'nt': [15, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -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]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]]]}
  • id: 4782296
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 68, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '30.2', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 16, 'label': '480.108.2j4', 'nt': [15, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -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]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]]]}
  • id: 4782297
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 69, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 12, 'label': '480.108.2k1', 'nt': [20, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -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]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 4782299
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 70, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 12, 'label': '480.108.2k2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -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]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 4782300
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 71, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 12, 'label': '480.108.2k3', 'nt': [20, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 4782301
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 72, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 12, 'label': '480.108.2k4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 4782302
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 73, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 12, 'label': '480.108.2l1', 'nt': [20, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -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]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 4782303
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 74, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 12, 'label': '480.108.2l2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -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]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 4782304
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 75, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 12, 'label': '480.108.2l3', 'nt': [20, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 4782305
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 76, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 12, 'label': '480.108.2l4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -2]], [[-1, 2], [1, -2]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 0], [-2, 1], [-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [1, -1]]]}
  • id: 4782306
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 77, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '48.24', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1.a1', 'kernel_order': 10, 'label': '480.108.2m1', 'nt': [24, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[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, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 1]], [[-2, 1]], [[2, 5]], [[2, 1]], [[-2, 5]], [[2, 5]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 2]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 2]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 5]], [[-2, 1]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 1]], [[2, 5]], [[0, 0]], [[2, 1]], [[-2, 5]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 5]]]}
  • id: 4782307
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 78, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '48.24', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1.a1', 'kernel_order': 10, 'label': '480.108.2m2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 2]], [[-2, 4]], [[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]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 5]], [[2, 5]], [[-2, 1]], [[-2, 5]], [[2, 1]], [[-2, 1]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[2, 2]], [[2, 2]], [[0, 0]], [[2, 2]], [[-2, 2]], [[-2, 4]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 1]], [[2, 5]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 5]], [[-2, 1]], [[0, 0]], [[-2, 5]], [[2, 1]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[0, 0]], [[2, 5]], [[0, 0]], [[-2, 1]]]}
  • id: 4782308
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 79, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '48.24', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1.a1', 'kernel_order': 10, 'label': '480.108.2m3', 'nt': [24, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 2]], [[2, 4]], [[2, 2]], [[-2, 4]], [[-2, 4]], [[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, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[-2, 1]], [[2, 5]], [[-2, 5]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 2]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[2, 4]], [[2, 2]], [[2, 4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 5]], [[2, 1]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 1]], [[-2, 5]], [[0, 0]], [[-2, 1]], [[2, 5]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 5]]]}
  • id: 4782310
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 120, 'counter': 80, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '48.24', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1.a1', 'kernel_order': 10, 'label': '480.108.2m4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 4]], [[-2, 2]], [[-2, 4]], [[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]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 5]], [[-2, 5]], [[2, 1]], [[2, 5]], [[-2, 1]], [[2, 1]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[-2, 2]], [[2, 4]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 4]], [[0, 0]], [[2, 2]], [[2, 2]], [[0, 0]], [[2, 2]], [[-2, 2]], [[-2, 4]], [[-2, 2]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 1]], [[-2, 5]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 5]], [[2, 1]], [[0, 0]], [[2, 5]], [[-2, 1]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[-2, 5]], [[0, 0]], [[2, 1]]]}
  • id: 4782311
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 81, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 8, 'label': '480.108.2n1', 'nt': [30, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -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]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]]]}
  • id: 4782312
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 82, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 8, 'label': '480.108.2n2', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -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]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]]]}
  • id: 4782313
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 83, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 8, 'label': '480.108.2n3', 'nt': [30, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -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]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]]]}
  • id: 4782314
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 84, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 8, 'label': '480.108.2n4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -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]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]]]}
  • id: 4782315
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 85, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.b1', 'kernel_order': 12, 'label': '480.108.2o1', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]]]}
  • id: 4782316
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 86, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.b1', 'kernel_order': 12, 'label': '480.108.2o2', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]]]}
  • id: 4782317
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 87, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.b1', 'kernel_order': 12, 'label': '480.108.2o3', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 4782318
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 88, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.b1', 'kernel_order': 12, 'label': '480.108.2o4', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 4782319
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 89, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.a1', 'kernel_order': 12, 'label': '480.108.2p1', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]]]}
  • id: 4782321
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 90, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.a1', 'kernel_order': 12, 'label': '480.108.2p2', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]]]}
  • id: 4782322
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 91, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.a1', 'kernel_order': 12, 'label': '480.108.2p3', 'nt': [40, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 4782323
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 92, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '40.1', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1.a1', 'kernel_order': 12, 'label': '480.108.2p4', 'nt': [40, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 4782324
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 93, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 8, 'label': '480.108.2q1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -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]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]]]}
  • id: 4782325
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 94, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 8, 'label': '480.108.2q2', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -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]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]]]}
  • id: 4782326
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 95, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 8, 'label': '480.108.2q3', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -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]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]]]}
  • id: 4782327
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 96, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1.a1', 'kernel_order': 8, 'label': '480.108.2q4', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 3], [-1, -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]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]]]}
  • id: 4782328
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 97, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 8, 'label': '480.108.2r1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -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]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]]]}
  • id: 4782329
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 98, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 8, 'label': '480.108.2r2', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -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]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]]]}
  • id: 4782330
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 99, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 8, 'label': '480.108.2r3', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -5]], [[2, 5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -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]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]]]}
  • id: 4782177
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 100, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '60.2', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 8, 'label': '480.108.2r4', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[-2, -5]], [[-2, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -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]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]]]}
  • id: 4782178
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 101, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s1', 'nt': [40, 17], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]]]}
  • id: 4782179
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 102, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s2', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]]]}
  • id: 4782180
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 103, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s3', 'nt': [40, 17], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, 7]]]}
  • id: 4782181
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 104, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s4', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]]]}
  • id: 4782182
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 105, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s5', 'nt': [40, 17], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, -4]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 6]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 4782183
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 106, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s6', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, -4]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, 6]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 4782184
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 107, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s7', 'nt': [40, 17], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 4], [1, -4]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, 6]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 7]]]}
  • id: 4782185
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 108, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '80.10', 'image_order': 80, 'indicator': 0, 'kernel': '80.c1.a1', 'kernel_order': 6, 'label': '480.108.2s8', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, -4]], [[1, 4], [1, 6]], [[1, 4], [1, 6]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 0], [2, 2], [-1, 4], [1, 6]], [[-1, 4], [-1, 6]], [[1, 4], [1, 6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 6]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 7]]]}
  • id: 4782186
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  • id: 4782188
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  • id: 4782189
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  • id: 4782190
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  • id: 4782191
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  • id: 4782192
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  • id: 4782193
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  • id: 4782194
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  • id: 4782195
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  • id: 4782196
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 118, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.20', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 4, 'label': '480.108.2u2', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 2], [1, 3], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[1, 6], [1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 2], [1, 3], [1, 7]], [[1, 3], [1, -3]], [[1, 2], [1, 3], [1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 6], [-1, -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]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 1], [-1, 4]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [1, 4]], [[1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [1, 4]], [[1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]]]}
  • id: 4782197
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  • id: 4782199
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 120, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.20', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 4, 'label': '480.108.2u4', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [1, 3], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[1, 3], [1, -3]], [[-1, 2], [-1, 3], [-1, 7]], [[1, 2], [1, 3], [1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 2], [1, 3], [1, 7]], [[-1, 6], [-1, -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]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 1], [-1, 4]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]]]}
  • id: 4782200
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  • id: 4782201
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 122, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.20', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 4, 'label': '480.108.2u6', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 2], [1, 3], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, 3], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 3], [-1, -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]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [1, 4]], [[1, 1], [-1, 4]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 1], [1, 4]], [[1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]]]}
  • id: 4782202
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 123, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.20', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 4, 'label': '480.108.2u7', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, -5]], [[-2, 5]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 2], [1, 3], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, -5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, 3], [1, 7]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 6], [1, -6]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[1, 3], [1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 3], [-1, -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]], [[-1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [-1, 4]], [[1, 1], [-1, 4]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 1], [1, 4]], [[1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 1], [1, 4]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 1], [1, 4]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]]]}
  • id: 4782203
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 124, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.20', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 4, 'label': '480.108.2u8', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-2, 5]], [[-2, -5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, 3], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, 5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, 3], [-1, 7]], [[-1, 6], [-1, -6]], [[1, 2], [1, 3], [1, 7]], [[1, 2], [1, 3], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 6], [1, -6]], [[-1, 0], [1, 2], [-1, 3], [-2, 6], [1, 7]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[-1, 2], [-1, 3], [-1, 7]], [[1, 3], [1, -3]], [[1, 0], [-1, 2], [1, 3], [2, 6], [-1, 7]], [[-1, 3], [-1, -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]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 1], [-1, 4]], [[-1, 1], [1, 4]], [[1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 1], [-1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 0], [1, 1], [1, 4], [-1, 5]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 4], [-1, 5], [2, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [1, 7]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [-1, 7]], [[1, 1], [-1, 4]], [[-1, 1], [-1, 4]], [[1, 0], [-1, 1], [-1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[1, 1], [1, 4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [-1, 1], [1, 2], [1, 3], [-1, 4], [1, 5], [-1, 7]], [[-1, 0], [-1, 1], [1, 2], [-1, 3], [1, 4], [-2, 6], [1, 7]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]], [[1, 0], [1, 1], [-1, 2], [1, 3], [-1, 4], [2, 6], [-1, 7]], [[1, 0], [-1, 1], [-1, 4], [1, 5]], [[1, 0], [-1, 1], [-1, 4], [1, 5], [-2, 7]], [[1, 1], [1, 4]], [[-1, 1], [1, 4]], [[-1, 0], [1, 1], [1, 2], [-1, 3], [1, 4], [-1, 5], [1, 7]]]}
  • id: 4782204
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 125, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v1', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]]]}
  • id: 4782205
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 126, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v2', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782206
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 127, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]]]}
  • id: 4782207
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 128, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v4', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782208
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 129, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v5', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]]]}
  • id: 4782210
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 130, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v6', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782211
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 131, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v7', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]]]}
  • id: 4782212
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 132, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.b1', 'kernel_order': 4, 'label': '480.108.2v8', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782213
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 133, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w1', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]]]}
  • id: 4782214
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 134, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w2', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782215
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 135, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 5]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]]]}
  • id: 4782216
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 136, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w4', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 2], [1, 8]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782217
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 137, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w5', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[2, 25]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]]]}
  • id: 4782218
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 138, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w6', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [-1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782219
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 139, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w7', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 20]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]]]}
  • id: 4782221
    {'center': '10.a1.a1', 'center_index': 10, 'center_order': 48, 'counter': 140, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '120.2', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1.a1', 'kernel_order': 4, 'label': '480.108.2w8', 'nt': [120, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 20]], [[2, 10]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 25]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 2], [1, 8]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782222
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 141, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x1', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]]]}
  • id: 4782232
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 150, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x10', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 2], [-1, 8]], [[1, 2], [1, 8]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782233
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 151, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x11', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 2], [-1, 8]], [[1, 2], [1, 8]], [[1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]]]}
  • id: 4782234
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 152, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x12', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782235
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 153, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x13', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 7], [1, 13]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[-1, 7], [-1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]]]}
  • id: 4782236
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 154, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x14', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 2], [1, 8]], [[1, 2], [1, 8]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 8]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782237
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 155, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x15', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 2], [-1, 8]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 7], [-1, 13]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[1, 7], [1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]]]}
  • id: 4782238
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 156, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x16', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [1, 8]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 7], [1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[-1, 7], [-1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782223
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 142, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x2', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 2], [-1, 8]], [[1, 2], [1, 8]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782224
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 143, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x3', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [1, 9], [1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 2], [-1, 8]], [[1, 2], [1, 8]], [[1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[-1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]]]}
  • id: 4782225
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 144, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x4', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]]]}
  • id: 4782226
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 145, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x5', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 7], [-1, 13]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[1, 7], [1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]]]}
  • id: 4782227
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 146, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x6', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 2], [1, 8]], [[1, 2], [1, 8]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [-1, 8]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 7], [1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[-1, 7], [-1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[1, 7], [1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782228
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 147, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x7', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 3], [1, -3]], [[-1, 1], [1, 9], [1, 11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 2], [-1, 8]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 2], [-1, 8]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 7], [1, 13]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[-1, 7], [-1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 7], [1, 13]]]}
  • id: 4782229
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 148, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x8', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[2, 10]], [[2, 10]], [[-2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 4], [1, 6], [1, 14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[2, 5]], [[-2, 25]], [[2, 25]], [[-2, 5]], [[-2, 25]], [[2, 5]], [[-2, 5]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 1], [-1, 9], [-1, 11]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 2], [-1, 8]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[1, 2], [1, 8]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[1, 7], [1, 13]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [-1, 13]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]]]}
  • id: 4782230
    {'center': '20.b1.a1', 'center_index': 20, 'center_order': 24, 'counter': 149, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '480.108', 'group_counter': 108, 'group_order': 480, 'image': None, 'image_isoclass': '240.39', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1.a1', 'kernel_order': 2, 'label': '480.108.2x9', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[2, 20]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 6], [-2, 12], [-1, 14]], [[1, 0], [-1, 4], [-1, 6], [2, 12], [1, 14]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [1, 6], [1, 14]], [[1, 4], [-1, 6], [-1, 14]], [[2, 25]], [[-2, 5]], [[2, 5]], [[-2, 25]], [[-2, 5]], [[2, 25]], [[-2, 25]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [-1, 9], [-1, 11]], [[-1, 1], [1, 9], [1, 11]], [[-1, 9], [-1, -9]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 9], [1, 11], [-1, 15]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 1], [1, 9], [1, 11]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[-1, 0], [1, 2], [1, 4], [1, 6], [1, 8], [-2, 12], [-1, 14]], [[1, 2], [1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[-1, 0], [-1, 2], [-1, 4], [1, 6], [1, 8], [1, 10], [-1, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [1, 8]], [[-1, 2], [-1, 8]], [[-1, 2], [-1, 8]], [[-1, 0], [-1, 2], [1, 8], [1, 10], [-2, 14]], [[1, 0], [1, 2], [-1, 8], [-1, 10], [2, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[-1, 0], [-1, 2], [1, 8], [1, 10]], [[1, 0], [-1, 2], [-1, 4], [-1, 6], [-1, 8], [2, 12], [1, 14]], [[1, 2], [-1, 8]], [[1, 0], [1, 2], [-1, 8], [-1, 10]], [[-1, 0], [-1, 2], [1, 4], [1, 6], [1, 8], [-1, 14]], [[-1, 2], [1, 8]], [[1, 0], [1, 2], [-1, 4], [-1, 6], [-1, 8], [1, 14]], [[1, 0], [1, 2], [1, 4], [-1, 6], [-1, 8], [-1, 10], [1, 14]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [1, 13]], [[-1, 7], [-1, 13]], [[-1, 1], [1, 5], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [1, 11], [1, 13], [1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13]], [[-1, 7], [1, 13]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[1, 7], [-1, 13]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [-1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[1, 5], [1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-2, 1], [1, 5], [1, 7], [-1, 13], [-1, 15]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13]], [[2, 1], [-1, 5], [-1, 7], [1, 13], [1, 15]], [[1, 7], [1, 13]], [[1, 1], [-1, 5], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 15]], [[-1, 1], [1, 5], [1, 7], [1, 9], [-1, 11], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 15]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [1, 13], [-1, 15]], [[-1, 5], [-1, 7], [1, 13], [1, 15]]]}
• 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: 58574712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 480, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '480.108.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.108', 'subgroup_hash': 108, 'subgroup_order': 480, 'subgroup_tex': 'C_{60}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 58574724
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 240, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574735
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.38', 'subgroup_hash': 38, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574746
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.38', 'subgroup_hash': 38, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': True, 'core_order': 160, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '480.108.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.37', 'subgroup_hash': 37, 'subgroup_order': 160, 'subgroup_tex': 'C_{20}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 58574768
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 120, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574779
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 120, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574790
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 120, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574801
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574713
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574715
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574716
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.4.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '480.108.5.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.48', 'subgroup_hash': 48, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 80, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574719
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.9', 'subgroup_hash': 9, 'subgroup_order': 80, 'subgroup_tex': 'C_{10}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574720
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.9', 'subgroup_hash': 9, 'subgroup_order': 80, 'subgroup_tex': 'C_{10}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574721
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 60, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574722
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574723
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574725
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574726
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.8.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574727
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574728
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 23, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 58574729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574730
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 48, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], '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: 58574731
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574732
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574733
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 40, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574734
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 40, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574736
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 40, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574737
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574738
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.12.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574739
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574740
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.12.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '480.108.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 2}
  • id: 58574742
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 30, 'counter': 36, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574743
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 30, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574744
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 30, 'counter': 38, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574745
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 15, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574747
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 15, 'counter': 40, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.16.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 58574748
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 24, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 58574749
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 58574750
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 24, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', '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: 58574751
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.20.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58574752
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.20.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58574753
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.20.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574754
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.20.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 58574755
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 20, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574756
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574758
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574759
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574760
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 20, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.24.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574761
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574762
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 58574763
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574764
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': 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: 58574765
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574766
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.30.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574767
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 15, 'counter': 59, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '480.108.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 58574769
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 12, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4', '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: 58574770
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_4', '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: 58574771
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.40.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_4', '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: 58574772
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 58574773
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.40.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 58574774
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.40.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58574775
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.40.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58574776
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.40.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58574777
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 10, 'counter': 68, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574778
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 10, 'counter': 69, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574780
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 10, 'counter': 70, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574781
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 5, 'counter': 71, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574782
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 5, 'counter': 72, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.48.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 58574783
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 8, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{12}', '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: 58574784
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 58574785
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 8, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{12}', '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: 58574786
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 4, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.60.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 58574787
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 4, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.60.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 58574788
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.60.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574789
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.60.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 58574791
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 80, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.19', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.D_4', '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: 58574792
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 81, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.80.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_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: 58574793
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 82, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.80.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:\\OD_{16}', '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: 58574794
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 3, 'counter': 83, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.80.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58574795
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 3, 'counter': 84, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.80.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58574796
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 5, 'counter': 85, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '480.108.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{24}', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 58574797
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 4, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.19', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{12}', '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: 58574798
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:D_4', '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: 58574799
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.120.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:D_4', '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: 58574800
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.120.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{24}', '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: 58574802
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 4, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '480.108.120.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{24}', '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: 58574803
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.120.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 58574804
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.120.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 58574805
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '480.108.120.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 58574806
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 3, 'counter': 94, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '480.108.160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '160.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '160.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 58574807
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 2, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58574808
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 2, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.240.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '240.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.38', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], '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: 58574809
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 2, 'counter': 97, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.108.240.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '240.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:\\OD_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58574810
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.240.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58574811
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '480.108.240.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58574714
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.108', 'ambient_counter': 108, 'ambient_order': 480, 'ambient_tex': 'C_{60}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 1, 'counter': 100, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '480.108.480.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '480.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '480.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}.D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', '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: 58574712
    {'ambient': '480.108', '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': '20.b1.a1', 'complements': ['480.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1500, 4600, 8338, 2495, 7641, 3166, 2134, 1856], 'generators': [1, 4, 320, 2, 240, 96, 8], 'label': '480.108.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 58574713
    {'ambient': '480.108', 'aut_centralizer_order': 20, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.b1', '8.d1.a1', '8.e1.a1', '12.d1.b1', '20.d1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4078, -1, 5169, -1, 5620, -1, 4199, -1], 'generators': [10, 320, 96, 240, 4], 'label': '480.108.4.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.d1.b1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574714
    {'ambient': '480.108', 'aut_centralizer_order': None, 'aut_label': '480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.b1.a1', '240.c1.a1', '240.d1.a1', '240.d1.b1'], 'contains': [], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7887, 3069, 2536, 6049, 2766, 3696, 7123, 5242], 'generators': [], 'label': '480.108.480.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '480.a1.a1', 'normal_contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.c1.a1', '240.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '480.a1.a1', 'projective_image': '480.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574715
    {'ambient': '480.108', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 16, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '12.e1.a1', '20.e1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [807, -1, 8286, -1, 9647, -1, 2668, -1], 'generators': [1, 2, 4, 320, 96], 'label': '480.108.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.e1.a1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 58574716
    {'ambient': '480.108', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 16, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.b1.b1', '12.e1.b1', '20.e1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [807, -1, 7833, -1, 9647, -1, 196, -1], 'generators': [443, 14, 4, 320, 96], 'label': '480.108.4.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '4.e1.b1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 58574717
    {'ambient': '480.108', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 20, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '15.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [399, -1, 9455, -1, 7987, -1, 2134, -1], 'generators': [1, 4, 8, 240, 320, 2], 'label': '480.108.5.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 58574718
    {'ambient': '480.108', 'aut_centralizer_order': 40, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.260', 'aut_weyl_index': 40, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.d1.b1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3696, 6324, 5809, 4003, 6235, 4420, 3741, 3113], 'generators': [2, 240, 96, 8, 4], 'label': '480.108.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574719
    {'ambient': '480.108', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 16, 'centralizer': '20.b1.a1', 'complements': ['80.d1.a1', '80.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.e1.a1', '30.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1544, 2157, 8770, 1848, 8481, 1040, 1800, 441], 'generators': [1, 2, 4, 8, 96], 'label': '480.108.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 58574720
    {'ambient': '480.108', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '160.236', 'aut_weyl_index': 16, 'centralizer': '20.b1.a1', 'complements': ['80.d1.a1', '80.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.e1.b1', '30.b1.b1'], 'core': '6.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1544, 2157, 8009, 2795, 8481, 1040, 635, 1323], 'generators': [443, 14, 4, 8, 96], 'label': '480.108.6.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.b1', 'normal_contained_in': ['2.b1.b1', '3.a1.a1'], 'normal_contains': ['12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 58574721
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '24.a1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6876, 3735, 3795, 5816, 2858, 3147, 7060, 5680], 'generators': [4, 320, 96, 8], 'label': '480.108.8.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.b1.a1', '24.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574722
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '24.b1.a1', '40.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2887, 772, 6913, 198, 8181, 226, 3023, 1603], 'generators': [2, 96, 4, 320], 'label': '480.108.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.a1.a1', '24.b1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '40.8', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574723
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.b1', '4.e1.b1'], 'contains': ['16.a1.a1', '24.b1.b1', '40.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2887, 772, 6468, 697, 8181, 226, 2360, 1138], 'generators': [10, 96, 4, 320], 'label': '480.108.8.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.a1.a1', '24.b1.b1', '40.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '40.8', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574724
    {'ambient': '480.108', 'aut_centralizer_order': 20, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2319', 'aut_weyl_index': 20, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.d1.b1', '6.a1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3696, 6072, 5833, 3662, 6235, 4420, 4427, 3678], 'generators': [2, 4, 240, 320, 8, 96], 'label': '480.108.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '6.a1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574725
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '8.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': ['60.e1.a1', '60.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '24.c1.a1', '40.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8934, 7743, 884, 8577, 1014, 9531, 9187, 8347], 'generators': [8, 320, 96, 240], 'label': '480.108.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.a1', '24.c1.a1', '40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '80.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574726
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '8.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': ['60.e1.a1', '60.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.d1.b1', '24.c1.b1', '40.c1.b1'], 'core': '8.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8934, 7743, 1545, 9666, 1014, 9531, 8759, 9208], 'generators': [244, 320, 96, 8], 'label': '480.108.8.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.a1', '24.c1.b1', '40.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.b1', 'projective_image': '80.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574727
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.d1.b1', '24.d1.a1', '40.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6287, -1, 3212, -1, 3433, -1, 7489, -1], 'generators': [4, 320, 96, 240], 'label': '480.108.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '80.19', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574728
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.a1.a1', '24.e1.a1', '40.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5143, -1, 4561, -1, 4433, -1, 5813, -1], 'generators': [246, 96, 4, 320], 'label': '480.108.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '80.19', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574729
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.d1.a1', '16.d1.b1', '24.f1.a1', '40.f1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7865, -1, 2165, -1, 1628, -1, 8330, -1], 'generators': [12, 320, 96, 240], 'label': '480.108.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '80.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574730
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.51', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '20.d1.a1', '20.d1.b1', '30.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2259, 8741, 7464, 3373, 6884, 5609, 4656, 4085], 'generators': [2, 4, 8, 240, 320], 'label': '480.108.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574731
    {'ambient': '480.108', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.14', 'aut_weyl_index': 160, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.b1.a1', '20.e1.a1', '30.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [261, -1, 9803, -1, 9064, -1, 2234, -1], 'generators': [1, 4, 8, 320, 2], 'label': '480.108.10.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574732
    {'ambient': '480.108', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.14', 'aut_weyl_index': 160, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.b1.a1', '20.e1.b1', '30.b1.b1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [261, -1, 9046, -1, 9064, -1, 1069, -1], 'generators': [443, 4, 8, 320, 14], 'label': '480.108.10.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574733
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.c1.a1', '24.c1.b1', '24.d1.a1', '24.f1.a1', '60.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6916, 6997, 2569, 7007, 2243, 7393, 6602, 6599], 'generators': [4, 240, 96, 8], 'label': '480.108.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.c1.a1', '24.c1.b1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574734
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '12.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '60.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3320, 2350, 6560, 2075, 7736, 1040, 2029, 473], 'generators': [2, 96, 4, 8], 'label': '480.108.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574735
    {'ambient': '480.108', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 8, 'centralizer': '20.b1.a1', 'complements': ['240.d1.a1', '240.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '6.b1.a1', '10.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1313, 3735, 8338, 1202, 8615, 1971, 2602, 393], 'generators': [1, 96, 320, 2, 8, 4], 'label': '480.108.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '6.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 58574736
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.e1.a1', '60.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4779, 5333, 4816, 4632, 4878, 4200, 5482, 3958], 'generators': [246, 96, 4, 8], 'label': '480.108.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574737
    {'ambient': '480.108', 'aut_centralizer_order': 40, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.d1.a1', '24.e1.a1', '60.d1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4049, -1, 5806, -1, 6030, -1, 4196, -1], 'generators': [2, 96, 4, 240], 'label': '480.108.12.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574738
    {'ambient': '480.108', 'aut_centralizer_order': 40, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '6.a1.a1'], 'contains': ['24.b1.b1', '24.d1.a1', '24.e1.a1', '60.d1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4049, -1, 5363, -1, 6030, -1, 3354, -1], 'generators': [10, 96, 4, 240], 'label': '480.108.12.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.d1.b1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574739
    {'ambient': '480.108', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 32, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '60.e1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1204, -1, 8704, -1, 9558, -1, 1461, -1], 'generators': [1, 4, 96, 2], 'label': '480.108.12.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.e1.a1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 58574740
    {'ambient': '480.108', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 32, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.b1.b1'], 'contains': ['24.b1.b1', '60.e1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1204, -1, 8248, -1, 9558, -1, 272, -1], 'generators': [443, 4, 96, 14], 'label': '480.108.12.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '12.e1.b1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 58574741
    {'ambient': '480.108', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '64.202', 'aut_weyl_index': 40, 'centralizer': '20.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.a1', '30.b1.a1', '30.b1.b1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [811, -1, 9407, -1, 7987, -1, 1432, -1], 'generators': [1, 240], 'label': '480.108.15.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '60.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 58574742
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '8.d1.a1', '8.e1.a1'], 'contains': ['32.a1.a1', '48.a1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6425, 1245, 3814, 2534, 4620, 1532, 5258, 2981], 'generators': [4, 96, 320], 'label': '480.108.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '80.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574743
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.a1', '8.c1.b1'], 'contains': ['32.a1.a1', '48.b1.a1', '80.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8891, 4161, 650, 8719, 124, 6365, 9550, 7512], 'generators': [8, 96, 320], 'label': '480.108.16.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.c1.b1'], 'normal_contains': ['32.a1.a1', '48.b1.a1', '80.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '80.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574744
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '16.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '48.c1.a1', '80.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8295, 2470, 2428, 6207, 1325, 2979, 8141, 5749], 'generators': [12, 96, 320], 'label': '480.108.16.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1', '80.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '80.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574745
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.d1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '48.d1.a1', '80.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9208, -1, 1089, -1, 1014, -1, 8961, -1], 'generators': [240, 96, 320], 'label': '480.108.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '160.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574746
    {'ambient': '480.108', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 8, 'centralizer': '20.b1.a1', 'complements': ['240.d1.a1', '240.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.b1', '6.b1.b1', '10.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1313, 3735, 7833, 2148, 8615, 1971, 1069, 2347], 'generators': [443, 96, 320, 14, 8, 4], 'label': '480.108.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '6.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 58574747
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '8.d1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '48.d1.b1', '80.d1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9208, -1, 1652, -1, 1014, -1, 8730, -1], 'generators': [244, 96, 320], 'label': '480.108.16.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.b1', 'projective_image': '160.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574748
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.c1.a1', '40.c1.b1', '40.d1.a1', '40.f1.a1', '60.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5590, 9767, 4132, 7483, 3999, 8498, 7909, 7502], 'generators': [4, 8, 240, 320], 'label': '480.108.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '40.c1.a1', '40.c1.b1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574749
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.b1.b1', '60.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1493, 5466, 8379, 1508, 8626, 2094, 2692, 2268], 'generators': [2, 8, 320, 4], 'label': '480.108.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '40.b1.a1', '40.b1.b1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '20.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.4', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574750
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '20.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.e1.a1', '60.c1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3912, 6811, 5496, 4632, 5454, 5254, 6145, 4819], 'generators': [246, 8, 320, 4], 'label': '480.108.20.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574751
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '10.a1.a1'], 'contains': ['40.b1.a1', '40.d1.a1', '40.e1.a1', '60.d1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2497, -1, 7727, -1, 6605, -1, 5053, -1], 'generators': [2, 240, 320, 4], 'label': '480.108.20.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.d1.a1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574752
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '10.a1.a1'], 'contains': ['40.b1.b1', '40.d1.a1', '40.e1.a1', '60.d1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2497, -1, 6870, -1, 6605, -1, 4625, -1], 'generators': [10, 240, 320, 4], 'label': '480.108.20.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.d1.b1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574753
    {'ambient': '480.108', 'aut_centralizer_order': 16, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '10.b1.a1'], 'contains': ['40.b1.a1', '60.e1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [489, -1, 9681, -1, 9876, -1, 1698, -1], 'generators': [1, 320, 2, 4], 'label': '480.108.20.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '20.e1.a1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574754
    {'ambient': '480.108', 'aut_centralizer_order': 16, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '10.b1.b1'], 'contains': ['40.b1.b1', '60.e1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [489, -1, 9030, -1, 9876, -1, 509, -1], 'generators': [443, 320, 14, 4], 'label': '480.108.20.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '20.e1.b1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574755
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '24.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7017, 3608, 3659, 5062, 3310, 3793, 4927, 4365], 'generators': [4, 96, 8], 'label': '480.108.24.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.c1.a1', '48.b1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574756
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.b1.a1', '12.d1.a1', '12.e1.a1'], 'contains': ['48.a1.a1', '120.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3182, 233, 6031, 369, 7475, 394, 2597, 869], 'generators': [2, 4, 96], 'label': '480.108.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.b1.a1'], 'normal_contains': ['48.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '120.20', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574757
    {'ambient': '480.108', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1280.1114138', 'aut_weyl_index': 2, 'centralizer': '20.b1.a1', 'complements': ['160.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '15.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1749, 4600, 8718, 2795, 7294, 3166, 1619, 1370], 'generators': [1, 96, 2, 8, 240, 4], 'label': '480.108.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '60.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 58574758
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.b1.a1', '12.d1.b1', '12.e1.b1'], 'contains': ['48.a1.a1', '120.b1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3182, 233, 5792, 867, 7475, 394, 2008, 404], 'generators': [10, 4, 96], 'label': '480.108.24.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': ['8.b1.b1', '12.b1.a1'], 'normal_contains': ['48.a1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.b1', 'projective_image': '120.20', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574759
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': ['20.e1.a1', '20.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1'], 'contains': ['48.b1.a1', '48.d1.a1', '120.c1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9710, 7317, 197, 8146, 569, 7709, 7809, 6847], 'generators': [8, 96, 240], 'label': '480.108.24.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1'], 'normal_contains': ['48.b1.a1', '120.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '240.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574760
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': ['20.e1.a1', '20.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '12.a1.a1'], 'contains': ['48.b1.a1', '48.d1.b1', '120.c1.b1'], 'core': '24.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9710, 7317, 1399, 9722, 569, 7709, 7381, 8896], 'generators': [244, 96, 8], 'label': '480.108.24.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.b1', 'normal_contained_in': ['8.c1.b1', '12.a1.a1'], 'normal_contains': ['48.b1.a1', '120.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.b1', 'projective_image': '240.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574761
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.a1.a1', '12.d1.a1', '12.d1.b1'], 'contains': ['48.a1.a1', '48.d1.a1', '48.d1.b1', '120.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6287, -1, 3217, -1, 3886, -1, 5590, -1], 'generators': [4, 96, 240], 'label': '480.108.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '240.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574762
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.c1.a1', '12.d1.a1', '12.d1.b1'], 'contains': ['48.a1.a1', '120.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4598, -1, 5136, -1, 5892, -1, 4007, -1], 'generators': [246, 4, 96], 'label': '480.108.24.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.e1.a1', 'projective_image': '240.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574763
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.a1.a1'], 'contains': ['48.c1.a1', '48.d1.a1', '48.d1.b1', '120.f1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7883, -1, 2359, -1, 1770, -1, 6952, -1], 'generators': [12, 96, 240], 'label': '480.108.24.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.f1.a1', 'projective_image': '240.39', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574764
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 160, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.b1.a1', '60.c1.a1', '60.d1.a1', '60.d1.b1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2825, 8475, 7379, 3288, 7171, 6288, 3775, 3113], 'generators': [2, 8, 240], 'label': '480.108.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1'], 'normal_contains': ['60.a1.a1', '60.b1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574765
    {'ambient': '480.108', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.b1.a1', '60.e1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [825, -1, 9613, -1, 9156, -1, 1161, -1], 'generators': [1, 8], 'label': '480.108.30.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '60.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574766
    {'ambient': '480.108', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '8.5', 'aut_weyl_index': 320, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '10.b1.b1', '15.a1.a1'], 'contains': ['60.b1.a1', '60.e1.b1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [825, -1, 8861, -1, 9156, -1, 803, -1], 'generators': [443, 8], 'label': '480.108.30.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '30.b1.b1', 'projective_image': '60.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574767
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 320, 'centralizer': '2.a1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.d1.b1'], 'contains': ['96.a1.a1', '160.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8660, 1751, 918, 6571, 1328, 3076, 8456, 5706], 'generators': [320, 96], 'label': '480.108.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.b1.a1'], 'normal_contains': ['96.a1.a1', '160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '160.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574768
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.c1.b1', '8.d1.a1', '8.f1.a1', '12.a1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6876, 7063, 2704, 7749, 2858, 7393, 7699, 7048], 'generators': [4, 240, 320, 8, 96], 'label': '480.108.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.c1.b1', '12.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574769
    {'ambient': '480.108', 'aut_centralizer_order': 1280, 'aut_label': '40.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '80.b1.a1', '80.c1.a1', '120.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4540, 5879, 5054, 4859, 5496, 4762, 6200, 5157], 'generators': [4, 8, 320], 'label': '480.108.40.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'normal_contains': ['80.a1.a1', '80.c1.a1', '80.b1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '40.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.7', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574770
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.b1.a1', '20.d1.a1', '20.e1.a1'], 'contains': ['80.a1.a1', '120.b1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1922, 1917, 8240, 511, 8266, 963, 3060, 2516], 'generators': [2, 320, 4], 'label': '480.108.40.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '40.8', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.8', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574771
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '20.b1.a1', '20.d1.b1', '20.e1.b1'], 'contains': ['80.a1.a1', '120.b1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1922, 1917, 6785, 1298, 8266, 963, 2829, 1333], 'generators': [10, 320, 4], 'label': '480.108.40.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1.b1', 'normal_contained_in': ['8.b1.b1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.b1', 'projective_image': '40.8', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.8', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574772
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '40.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': ['12.e1.a1', '12.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '20.a1.a1'], 'contains': ['80.b1.a1', '80.d1.a1', '120.c1.a1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8071, 9094, 1412, 8816, 2300, 8679, 9845, 8104], 'generators': [8, 240, 320], 'label': '480.108.40.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': ['8.c1.a1', '20.a1.a1'], 'normal_contains': ['80.b1.a1', '120.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.c1.a1', 'projective_image': '80.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574773
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '40.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': ['12.e1.a1', '12.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '20.a1.a1'], 'contains': ['80.b1.a1', '80.d1.b1', '120.c1.b1'], 'core': '40.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8071, 9094, 2297, 9802, 2300, 8679, 9256, 9688], 'generators': [244, 8, 320], 'label': '480.108.40.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1.b1', 'normal_contained_in': ['8.c1.b1', '20.a1.a1'], 'normal_contains': ['80.b1.a1', '120.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.c1.b1', 'projective_image': '80.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574774
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '20.a1.a1', '20.d1.a1', '20.d1.b1'], 'contains': ['80.a1.a1', '80.d1.a1', '80.d1.b1', '120.d1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5169, -1, 4685, -1, 5016, -1, 6558, -1], 'generators': [4, 240, 320], 'label': '480.108.40.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.d1.a1', 'projective_image': '80.19', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574775
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '20.c1.a1', '20.d1.a1', '20.d1.b1'], 'contains': ['80.a1.a1', '120.e1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3861, -1, 5687, -1, 6203, -1, 4596, -1], 'generators': [246, 320, 4], 'label': '480.108.40.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.e1.a1', 'projective_image': '80.19', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574776
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '20.a1.a1'], 'contains': ['80.c1.a1', '80.d1.a1', '80.d1.b1', '120.f1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6894, -1, 3182, -1, 2780, -1, 8435, -1], 'generators': [12, 240, 320], 'label': '480.108.40.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.f1.a1', 'projective_image': '80.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574777
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1', '24.d1.a1', '24.e1.a1'], 'contains': ['96.a1.a1', '240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6533, 992, 3898, 3056, 4087, 2042, 4880, 2770], 'generators': [4, 96], 'label': '480.108.48.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1'], 'normal_contains': ['96.a1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '240.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574778
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.c1.a1', '24.c1.b1'], 'contains': ['96.a1.a1', '240.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9739, 4281, 213, 8146, 1017, 5208, 7631, 6461], 'generators': [8, 96], 'label': '480.108.48.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.c1.a1', '24.c1.b1'], 'normal_contains': ['96.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '240.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574779
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.b1.a1', '20.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2836, 3735, 6807, 1106, 7499, 2107, 3102, 2194], 'generators': [2, 320, 96, 8, 4], 'label': '480.108.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.b1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574780
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '48.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.f1.a1'], 'contains': ['96.a1.a1', '240.c1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7580, 2823, 2704, 5426, 1950, 3645, 6505, 4861], 'generators': [12, 96], 'label': '480.108.48.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '240.39', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574781
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.c1.a1', '24.d1.a1', '24.f1.a1'], 'contains': ['96.a1.a1', '240.d1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8995, -1, 593, -1, 1639, -1, 7184, -1], 'generators': [240, 96], 'label': '480.108.48.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '480.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574782
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '24.c1.b1', '24.d1.a1', '24.f1.a1'], 'contains': ['96.a1.a1', '240.d1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8995, -1, 1869, -1, 1639, -1, 6952, -1], 'generators': [244, 96], 'label': '480.108.48.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.d1.b1', 'projective_image': '480.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574783
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.c1.a1', '120.c1.b1', '120.d1.a1', '120.f1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5894, 8475, 3830, 7199, 4320, 6914, 5913, 6198], 'generators': [4, 8, 240], 'label': '480.108.60.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1', '120.c1.a1', '120.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574784
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1', '30.b1.a1', '30.b1.b1'], 'contains': ['120.a1.a1', '120.b1.a1', '120.b1.b1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1630, 4880, 8058, 1650, 7870, 2255, 2303, 1925], 'generators': [2, 8], 'label': '480.108.60.b1.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.b1.a1', 'normal_contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1', '120.b1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '60.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.10', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574785
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '60.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.e1.a1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3501, 6798, 6026, 3781, 6598, 5641, 4301, 3573], 'generators': [246, 8], 'label': '480.108.60.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.c1.a1', 'normal_contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.c1.a1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574786
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '20.d1.a1', '30.a1.a1'], 'contains': ['120.b1.a1', '120.d1.a1', '120.e1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2533, -1, 7513, -1, 7079, -1, 3712, -1], 'generators': [2, 240], 'label': '480.108.60.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '60.d1.a1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574787
    {'ambient': '480.108', 'aut_centralizer_order': 160, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '20.d1.b1', '30.a1.a1'], 'contains': ['120.b1.b1', '120.d1.a1', '120.e1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2533, -1, 7040, -1, 7079, -1, 3354, -1], 'generators': [10, 240], 'label': '480.108.60.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '60.d1.b1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574788
    {'ambient': '480.108', 'aut_centralizer_order': 32, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '10.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '20.e1.a1', '30.b1.a1'], 'contains': ['120.b1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [666, -1, 9431, -1, 9357, -1, 1579, -1], 'generators': [1], 'label': '480.108.60.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.a1', 'old_label': '60.e1.a1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574789
    {'ambient': '480.108', 'aut_centralizer_order': 32, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 640, 'centralizer': '10.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.b1', '20.e1.b1', '30.b1.b1'], 'contains': ['120.b1.b1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [666, -1, 8872, -1, 9357, -1, 656, -1], 'generators': [443], 'label': '480.108.60.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1.b1', 'old_label': '60.e1.b1', 'projective_image': '120.20', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574790
    {'ambient': '480.108', 'aut_centralizer_order': 80, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '12.c1.a1', '20.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4779, 5339, 4726, 4848, 4878, 3296, 5813, 5004], 'generators': [246, 320, 96, 8, 4], 'label': '480.108.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574791
    {'ambient': '480.108', 'aut_centralizer_order': 1280, 'aut_label': '80.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.b1.b1', '40.d1.a1', '40.e1.a1'], 'contains': ['160.a1.a1', '240.a1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4854, 1465, 5220, 2709, 5016, 2559, 5306, 3192], 'generators': [4, 320], 'label': '480.108.80.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.b1.b1'], 'normal_contains': ['160.a1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '80.19', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.19', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574792
    {'ambient': '480.108', 'aut_centralizer_order': 1280, 'aut_label': '80.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '40.a1.a1', '40.c1.a1', '40.c1.b1'], 'contains': ['160.a1.a1', '240.b1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8219, 5852, 1576, 8844, 2232, 5726, 9056, 7444], 'generators': [8, 320], 'label': '480.108.80.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': ['16.b1.a1', '40.a1.a1', '40.c1.a1', '40.c1.b1'], 'normal_contains': ['160.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.b1.a1', 'projective_image': '80.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.9', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574793
    {'ambient': '480.108', 'aut_centralizer_order': 1280, 'aut_label': '80.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '40.a1.a1', '40.f1.a1'], 'contains': ['160.a1.a1', '240.c1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6526, 3715, 3301, 6095, 3031, 4162, 8057, 5284], 'generators': [12, 320], 'label': '480.108.80.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.c1.a1', 'normal_contained_in': ['16.c1.a1', '40.a1.a1'], 'normal_contains': ['160.a1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.c1.a1', 'projective_image': '80.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.10', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574794
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '40.c1.a1', '40.d1.a1', '40.f1.a1'], 'contains': ['160.a1.a1', '240.d1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7747, -1, 2327, -1, 2777, -1, 8667, -1], 'generators': [240, 320], 'label': '480.108.80.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.d1.a1', 'projective_image': '160.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574795
    {'ambient': '480.108', 'aut_centralizer_order': 320, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '40.c1.b1', '40.d1.a1', '40.f1.a1'], 'contains': ['160.a1.a1', '240.d1.b1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7747, -1, 2693, -1, 2777, -1, 8246, -1], 'generators': [244, 320], 'label': '480.108.80.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.d1.b1', 'projective_image': '160.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574796
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 640, 'centralizer': '2.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.d1.a1', '48.d1.b1'], 'contains': ['480.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9144, 2284, 557, 5737, 1794, 3231, 7123, 5242], 'generators': [96], 'label': '480.108.96.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.c1.a1', '48.b1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '480.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574797
    {'ambient': '480.108', 'aut_centralizer_order': 2560, 'aut_label': '120.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2560, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.b1.a1', '60.c1.a1'], 'contains': ['240.a1.a1', '240.b1.a1', '240.c1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5425, 4880, 4690, 4434, 4677, 4659, 5103, 4386], 'generators': [4, 8], 'label': '480.108.120.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.b1.a1', '60.c1.a1'], 'normal_contains': ['240.a1.a1', '240.c1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '120.19', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.19', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574798
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '120.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.b1.a1', '60.b1.a1', '60.d1.a1', '60.e1.a1'], 'contains': ['240.a1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2081, 1465, 7969, 617, 7672, 1292, 2829, 2136], 'generators': [2], 'label': '480.108.120.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.b1.a1', '40.b1.a1', '60.b1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': '120.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.20', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574799
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '120.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '40.b1.b1', '60.b1.a1', '60.d1.b1', '60.e1.b1'], 'contains': ['240.a1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2081, 1465, 7217, 1400, 7672, 1292, 2587, 1650], 'generators': [10], 'label': '480.108.120.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.b1.b1', 'normal_contained_in': ['24.b1.b1', '40.b1.b1', '60.b1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.b1', 'projective_image': '120.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.20', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574800
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '120.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '2.a1.a1', 'complements': ['4.e1.a1', '4.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '40.c1.a1', '60.a1.a1'], 'contains': ['240.b1.a1', '240.d1.a1'], 'core': '120.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8374, 7763, 1139, 7835, 2504, 7308, 7854, 6911], 'generators': [8, 240], 'label': '480.108.120.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.c1.a1', 'normal_contained_in': ['24.c1.a1', '40.c1.a1', '60.a1.a1'], 'normal_contains': ['240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.c1.a1', 'projective_image': '240.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574801
    {'ambient': '480.108', 'aut_centralizer_order': 20, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 80, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '12.d1.a1', '20.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4078, -1, 5611, -1, 5620, -1, 5114, -1], 'generators': [2, 320, 96, 240, 4], 'label': '480.108.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '40.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574802
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '120.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '2.a1.a1', 'complements': ['4.e1.a1', '4.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '40.c1.b1', '60.a1.a1'], 'contains': ['240.b1.a1', '240.d1.b1'], 'core': '120.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8374, 7763, 2120, 9383, 2504, 7308, 7407, 8405], 'generators': [244, 8], 'label': '480.108.120.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.c1.b1', 'normal_contained_in': ['24.c1.b1', '40.c1.b1', '60.a1.a1'], 'normal_contains': ['240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.c1.b1', 'projective_image': '240.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58574803
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '40.d1.a1', '60.a1.a1', '60.d1.a1', '60.d1.b1'], 'contains': ['240.a1.a1', '240.d1.a1', '240.d1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5876, -1, 3966, -1, 4387, -1, 5753, -1], 'generators': [4, 240], 'label': '480.108.120.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.d1.a1', 'projective_image': '240.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574804
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '40.e1.a1', '60.c1.a1', '60.d1.a1', '60.d1.b1'], 'contains': ['240.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3778, -1, 5823, -1, 6203, -1, 4154, -1], 'generators': [246], 'label': '480.108.120.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.e1.a1', 'projective_image': '240.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574805
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '40.f1.a1', '60.a1.a1'], 'contains': ['240.c1.a1', '240.d1.a1', '240.d1.b1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6944, -1, 3586, -1, 3303, -1, 6729, -1], 'generators': [12, 240], 'label': '480.108.120.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.f1.a1', 'projective_image': '240.39', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574806
    {'ambient': '480.108', 'aut_centralizer_order': 1280, 'aut_label': '160.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1280, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.c1.a1', '80.d1.a1', '80.d1.b1'], 'contains': ['480.a1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7757, 2703, 2536, 6480, 2639, 3696, 8246, 5622], 'generators': [320], 'label': '480.108.160.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': ['32.a1.a1', '80.a1.a1', '80.c1.a1', '80.b1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.a1.a1', 'projective_image': '160.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.37', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574807
    {'ambient': '480.108', 'aut_centralizer_order': 2560, 'aut_label': '240.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2560, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.b1.a1', '120.b1.b1', '120.d1.a1', '120.e1.a1'], 'contains': ['480.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5208, 1465, 4959, 2625, 4677, 2559, 4993, 2981], 'generators': [4], 'label': '480.108.240.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.b1.a1', '120.b1.b1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': '240.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.48', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574808
    {'ambient': '480.108', 'aut_centralizer_order': 2560, 'aut_label': '240.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2560, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '80.b1.a1', '120.a1.a1', '120.c1.a1', '120.c1.b1'], 'contains': ['480.a1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8316, 4880, 1507, 8073, 2384, 5208, 7573, 6683], 'generators': [8], 'label': '480.108.240.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '240.b1.a1', 'normal_contained_in': ['48.b1.a1', '80.b1.a1', '120.a1.a1', '120.c1.a1', '120.c1.b1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.b1.a1', 'projective_image': '240.38', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.38', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574809
    {'ambient': '480.108', 'aut_centralizer_order': 2560, 'aut_label': '240.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2560, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '80.c1.a1', '120.a1.a1', '120.f1.a1'], 'contains': ['480.a1.a1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6944, 3702, 3586, 5544, 3147, 4162, 6729, 4861], 'generators': [12], 'label': '480.108.240.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '240.c1.a1', 'normal_contained_in': ['48.c1.a1', '80.c1.a1', '120.a1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.c1.a1', 'projective_image': '240.39', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.39', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574810
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '80.d1.a1', '120.c1.a1', '120.d1.a1', '120.f1.a1'], 'contains': ['480.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7984, -1, 2335, -1, 2893, -1, 7312, -1], 'generators': [240], 'label': '480.108.240.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.d1.a1', 'projective_image': '480.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58574811
    {'ambient': '480.108', 'aut_centralizer_order': 640, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2560, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.b1', '80.d1.b1', '120.c1.b1', '120.d1.a1', '120.f1.a1'], 'contains': ['480.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7984, -1, 2867, -1, 2893, -1, 6934, -1], 'generators': [244], 'label': '480.108.240.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.d1.b1', 'projective_image': '480.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}