Abstract group data - 1088.1448

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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': '16.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 272, 'aut_gen_orders': [16, 8, 8, 16, 16], 'aut_gens': [[1, 2, 32], [1025, 114, 112], [449, 426, 624], [761, 282, 288], [273, 706, 864], [617, 1002, 944]], 'aut_group': None, 'aut_hash': 7933090346525517932, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 8704, 'aut_permdeg': 140, 'aut_perms': [3389336719308742368449396727943864306797710364322266170831931718580331272325366656822117322817095840487664179857968545152359824196989089811213821139591345403962679725412270628328445559415715910669539025493713385701771572090241254032829098062, 7262913310381324965050094246534523947982092852383469136251384321993294924354483627831732514942999793192463922918441447976636113785462032210336038649084998259619548786840626006166764329350724604788506321231412969009719449480258882828315723975, 775453524243633984262627305512315706246449447090469639836141763039508697461274036650353245292495522622468036961268360013444743924753722884235801925114128970449931084981548256669670179709456586154362423351617003339288406218849618965814427033, 12591628703725247665824464026982971685547051311210607477619563328762962586915726088633923699301771774767073427030518134104917473508513081464646196682597333542716957636195170501438071709264485573387657752408836633614693651155337710820313149376, 9587860147212261028614124878417722736342070392476028332198058637148211698291246572193591263408262091302109058481240297359612650930653820256639170961238688121608953736056443965912656508197308569472142816778185563214139094014991352452606077895], 'aut_phi_ratio': 17.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 68, 1, 1], [4, 1, 1, 2], [4, 2, 1, 1], [4, 68, 1, 1], [8, 4, 1, 2], [8, 17, 2, 2], [8, 34, 1, 2], [16, 34, 4, 2], [16, 68, 2, 2], [17, 4, 4, 1], [34, 4, 4, 1], [34, 8, 4, 1], [68, 4, 4, 2], [68, 8, 4, 1], [136, 8, 8, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_{17}:((C_2^2\\times C_8).C_2^4)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '8.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 272, 'autcentquo_group': '1088.1681', 'autcentquo_hash': 1681, 'autcentquo_nilpotent': False, 'autcentquo_order': 1088, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times F_{17}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 68, 1], [4, 1, 2], [4, 2, 1], [4, 68, 1], [8, 4, 2], [8, 17, 4], [8, 34, 2], [16, 34, 8], [16, 68, 4], [17, 4, 4], [34, 4, 4], [34, 8, 4], [68, 4, 8], [68, 8, 4], [136, 8, 16]], 'center_label': '4.1', 'center_order': 4, 'central_product': False, 'central_quotient': '272.35', 'commutator_count': 1, 'commutator_label': '68.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '17.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1448, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 68, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 68, 1, 1], [8, 4, 2, 1], [8, 17, 4, 1], [8, 34, 2, 1], [16, 34, 8, 1], [16, 68, 4, 1], [17, 4, 4, 1], [34, 4, 4, 1], [34, 8, 4, 1], [68, 4, 8, 1], [68, 8, 4, 1], [136, 8, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 48, 'exponent': 272, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 17], 'factors_of_order': [2, 17], 'faithful_reps': [[8, 0, 8]], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '136.13', 'hash': 1448, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 68, 'inner_gen_orders': [2, 4, 34], 'inner_gens': [[1, 554, 1072], [569, 2, 672], [81, 450, 32]], 'inner_hash': 35, 'inner_nilpotent': False, 'inner_order': 272, 'inner_split': False, 'inner_tex': 'D_{34}:C_4', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 64, 'irrQ_dim': 64, 'irrR_degree': 16, 'irrep_stats': [[1, 16], [2, 12], [4, 32], [8, 8]], 'label': '1088.1448', 'linC_count': 256, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 32, 'linQ_degree_count': 2, 'linQ_dim': 32, 'linQ_dim_count': 2, 'linR_count': 64, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D68.C8', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 26, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 68, 'number_divisions': 18, 'number_normal_subgroups': 24, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 56, 'number_subgroups': 562, 'old_label': None, 'order': 1088, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 71], [4, 72], [8, 144], [16, 544], [17, 16], [34, 48], [68, 64], [136, 128]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 8, 'outer_gen_orders': [4, 8], 'outer_gen_pows': [0, 572], 'outer_gens': [[1, 10, 1056], [1, 2, 928]], 'outer_group': '32.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 12, 'outer_perms': [87454080, 11825], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4\\times C_8', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 49, 'pgroup': 0, 'primary_abelian_invariants': [2, 8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 3], [16, 3], [32, 3], [64, 1]], 'representations': {'PC': {'code': 1367995010600409478791775774400256928534394669367311, 'gens': [1, 2, 6], 'pres': [7, -2, -2, -2, -2, -2, 2, -17, 7757, 36, 422, 58, 80, 45029, 14124, 11107, 124, 50182, 6285, 12564]}, 'Perm': {'d': 49, 'gens': [264373090022696628905250554169108062063033696131149104165665, 533764986970353828095597167551886597221554139244221059053304, 26624211411226032876372090432265342, 533764986970353828095597184634368437798047069155472535024099, 43598893372724126282419778531685832, 52106203312720560795695319227113492, 13211809404964592863671159899388721000670316742091735040000000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 8], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{68}.C_8', 'transitive_degree': 544, '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: 112077599
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1448, 'group_order': 1088, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 112077610
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 1448, 'group_order': 1088, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 16, 'size': 1}
  • id: 112077621
    {'aut_label': '2B', 'centralizer': '2.b1.a1', 'counter': 3, 'group_counter': 1448, 'group_order': 1088, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 544, 'size': 2}
  • id: 112077632
    {'aut_label': '2C', 'centralizer': '68.d1.a1', 'counter': 4, 'group_counter': 1448, 'group_order': 1088, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 313, 'size': 68}
  • id: 112077643
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 1448, 'group_order': 1088, 'label': '4A1', 'order': 4, 'powers': [2, 5], 'representative': 24, 'size': 1}
  • id: 112077654
    {'aut_label': '4A-1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 1448, 'group_order': 1088, 'label': '4A-1', 'order': 4, 'powers': [2, 6], 'representative': 8, 'size': 1}
  • id: 112077664
    {'aut_label': '4B', 'centralizer': '2.b1.a1', 'counter': 7, 'group_counter': 1448, 'group_order': 1088, 'label': '4B', 'order': 4, 'powers': [2, 7], 'representative': 552, 'size': 2}
  • id: 112077665
    {'aut_label': '4C', 'centralizer': '68.d1.a1', 'counter': 8, 'group_counter': 1448, 'group_order': 1088, 'label': '4C', 'order': 4, 'powers': [2, 8], 'representative': 625, 'size': 68}
  • id: 112077666
    {'aut_label': '8A1', 'centralizer': '4.d1.a1', 'counter': 9, 'group_counter': 1448, 'group_order': 1088, 'label': '8A1', 'order': 8, 'powers': [5, 9], 'representative': 5, 'size': 4}
  • id: 112077600
    {'aut_label': '8A-1', 'centralizer': '4.d1.a1', 'counter': 10, 'group_counter': 1448, 'group_order': 1088, 'label': '8A-1', 'order': 8, 'powers': [6, 10], 'representative': 13, 'size': 4}
  • id: 112077601
    {'aut_label': '8B1', 'centralizer': '17.a1.a1', 'counter': 11, 'group_counter': 1448, 'group_order': 1088, 'label': '8B1', 'order': 8, 'powers': [5, 11], 'representative': 108, 'size': 17}
  • id: 112077602
    {'aut_label': '8B-1', 'centralizer': '17.a1.a1', 'counter': 12, 'group_counter': 1448, 'group_order': 1088, 'label': '8B-1', 'order': 8, 'powers': [6, 12], 'representative': 116, 'size': 17}
  • id: 112077603
    {'aut_label': '8B-1', 'centralizer': '17.a1.a1', 'counter': 13, 'group_counter': 1448, 'group_order': 1088, 'label': '8B3', 'order': 8, 'powers': [6, 13], 'representative': 100, 'size': 17}
  • id: 112077604
    {'aut_label': '8B1', 'centralizer': '17.a1.a1', 'counter': 14, 'group_counter': 1448, 'group_order': 1088, 'label': '8B-3', 'order': 8, 'powers': [5, 14], 'representative': 124, 'size': 17}
  • id: 112077605
    {'aut_label': '8C1', 'centralizer': '34.b1.a1', 'counter': 15, 'group_counter': 1448, 'group_order': 1088, 'label': '8C1', 'order': 8, 'powers': [6, 15], 'representative': 196, 'size': 34}
  • id: 112077606
    {'aut_label': '8C-1', 'centralizer': '34.b1.a1', 'counter': 16, 'group_counter': 1448, 'group_order': 1088, 'label': '8C-1', 'order': 8, 'powers': [5, 16], 'representative': 220, 'size': 34}
  • id: 112077607
    {'aut_label': '16A1', 'centralizer': '34.b1.a1', 'counter': 17, 'group_counter': 1448, 'group_order': 1088, 'label': '16A1', 'order': 16, 'powers': [15, 17], 'representative': 274, 'size': 34}
  • id: 112077608
    {'aut_label': '16A-1', 'centralizer': '34.b1.a1', 'counter': 18, 'group_counter': 1448, 'group_order': 1088, 'label': '16A-1', 'order': 16, 'powers': [16, 18], 'representative': 1038, 'size': 34}
  • id: 112077609
    {'aut_label': '16A-1', 'centralizer': '34.b1.a1', 'counter': 19, 'group_counter': 1448, 'group_order': 1088, 'label': '16A3', 'order': 16, 'powers': [16, 19], 'representative': 1046, 'size': 34}
  • id: 112077611
    {'aut_label': '16A1', 'centralizer': '34.b1.a1', 'counter': 20, 'group_counter': 1448, 'group_order': 1088, 'label': '16A-3', 'order': 16, 'powers': [15, 20], 'representative': 266, 'size': 34}
  • id: 112077612
    {'aut_label': '16A1', 'centralizer': '34.b1.a1', 'counter': 21, 'group_counter': 1448, 'group_order': 1088, 'label': '16A5', 'order': 16, 'powers': [15, 21], 'representative': 282, 'size': 34}
  • id: 112077613
    {'aut_label': '16A-1', 'centralizer': '34.b1.a1', 'counter': 22, 'group_counter': 1448, 'group_order': 1088, 'label': '16A-5', 'order': 16, 'powers': [16, 22], 'representative': 1030, 'size': 34}
  • id: 112077614
    {'aut_label': '16A-1', 'centralizer': '34.b1.a1', 'counter': 23, 'group_counter': 1448, 'group_order': 1088, 'label': '16A7', 'order': 16, 'powers': [16, 23], 'representative': 1054, 'size': 34}
  • id: 112077615
    {'aut_label': '16A1', 'centralizer': '34.b1.a1', 'counter': 24, 'group_counter': 1448, 'group_order': 1088, 'label': '16A-7', 'order': 16, 'powers': [15, 24], 'representative': 258, 'size': 34}
  • id: 112077616
    {'aut_label': '16B1', 'centralizer': '68.f1.a1', 'counter': 25, 'group_counter': 1448, 'group_order': 1088, 'label': '16B1', 'order': 16, 'powers': [11, 25], 'representative': 531, 'size': 68}
  • id: 112077617
    {'aut_label': '16B-1', 'centralizer': '68.f1.a1', 'counter': 26, 'group_counter': 1448, 'group_order': 1088, 'label': '16B-1', 'order': 16, 'powers': [12, 26], 'representative': 679, 'size': 68}
  • id: 112077618
    {'aut_label': '16B-1', 'centralizer': '68.f1.a1', 'counter': 27, 'group_counter': 1448, 'group_order': 1088, 'label': '16B3', 'order': 16, 'powers': [13, 27], 'representative': 703, 'size': 68}
  • id: 112077619
    {'aut_label': '16B1', 'centralizer': '68.f1.a1', 'counter': 28, 'group_counter': 1448, 'group_order': 1088, 'label': '16B-3', 'order': 16, 'powers': [14, 28], 'representative': 539, 'size': 68}
  • id: 112077620
    {'aut_label': '17A1', 'centralizer': '4.b1.a1', 'counter': 29, 'group_counter': 1448, 'group_order': 1088, 'label': '17A1', 'order': 17, 'powers': [30, 1], 'representative': 64, 'size': 4}
  • id: 112077622
    {'aut_label': '17A1', 'centralizer': '4.b1.a1', 'counter': 30, 'group_counter': 1448, 'group_order': 1088, 'label': '17A2', 'order': 17, 'powers': [29, 1], 'representative': 128, 'size': 4}
  • id: 112077623
    {'aut_label': '17A1', 'centralizer': '4.b1.a1', 'counter': 31, 'group_counter': 1448, 'group_order': 1088, 'label': '17A3', 'order': 17, 'powers': [32, 1], 'representative': 192, 'size': 4}
  • id: 112077624
    {'aut_label': '17A1', 'centralizer': '4.b1.a1', 'counter': 32, 'group_counter': 1448, 'group_order': 1088, 'label': '17A6', 'order': 17, 'powers': [31, 1], 'representative': 384, 'size': 4}
  • id: 112077625
    {'aut_label': '34A1', 'centralizer': '4.b1.a1', 'counter': 33, 'group_counter': 1448, 'group_order': 1088, 'label': '34A1', 'order': 34, 'powers': [30, 2], 'representative': 80, 'size': 4}
  • id: 112077626
    {'aut_label': '34A1', 'centralizer': '4.b1.a1', 'counter': 34, 'group_counter': 1448, 'group_order': 1088, 'label': '34A3', 'order': 34, 'powers': [32, 2], 'representative': 208, 'size': 4}
  • id: 112077627
    {'aut_label': '34A1', 'centralizer': '4.b1.a1', 'counter': 35, 'group_counter': 1448, 'group_order': 1088, 'label': '34A7', 'order': 34, 'powers': [31, 2], 'representative': 464, 'size': 4}
  • id: 112077628
    {'aut_label': '34A1', 'centralizer': '4.b1.a1', 'counter': 36, 'group_counter': 1448, 'group_order': 1088, 'label': '34A9', 'order': 34, 'powers': [29, 2], 'representative': 592, 'size': 4}
  • id: 112077629
    {'aut_label': '34B1', 'centralizer': '8.a1.a1', 'counter': 37, 'group_counter': 1448, 'group_order': 1088, 'label': '34B1', 'order': 34, 'powers': [29, 3], 'representative': 32, 'size': 8}
  • id: 112077630
    {'aut_label': '34B1', 'centralizer': '8.a1.a1', 'counter': 38, 'group_counter': 1448, 'group_order': 1088, 'label': '34B3', 'order': 34, 'powers': [31, 3], 'representative': 96, 'size': 8}
  • id: 112077631
    {'aut_label': '34B1', 'centralizer': '8.a1.a1', 'counter': 39, 'group_counter': 1448, 'group_order': 1088, 'label': '34B7', 'order': 34, 'powers': [32, 3], 'representative': 224, 'size': 8}
  • id: 112077633
    {'aut_label': '34B1', 'centralizer': '8.a1.a1', 'counter': 40, 'group_counter': 1448, 'group_order': 1088, 'label': '34B9', 'order': 34, 'powers': [30, 3], 'representative': 288, 'size': 8}
  • id: 112077634
    {'aut_label': '68A1', 'centralizer': '4.b1.a1', 'counter': 41, 'group_counter': 1448, 'group_order': 1088, 'label': '68A1', 'order': 68, 'powers': [33, 5], 'representative': 152, 'size': 4}
  • id: 112077635
    {'aut_label': '68A-1', 'centralizer': '4.b1.a1', 'counter': 42, 'group_counter': 1448, 'group_order': 1088, 'label': '68A-1', 'order': 68, 'powers': [33, 6], 'representative': 968, 'size': 4}
  • id: 112077636
    {'aut_label': '68A-1', 'centralizer': '4.b1.a1', 'counter': 43, 'group_counter': 1448, 'group_order': 1088, 'label': '68A3', 'order': 68, 'powers': [34, 6], 'representative': 392, 'size': 4}
  • id: 112077637
    {'aut_label': '68A1', 'centralizer': '4.b1.a1', 'counter': 44, 'group_counter': 1448, 'group_order': 1088, 'label': '68A-3', 'order': 68, 'powers': [34, 5], 'representative': 728, 'size': 4}
  • id: 112077638
    {'aut_label': '68A-1', 'centralizer': '4.b1.a1', 'counter': 45, 'group_counter': 1448, 'group_order': 1088, 'label': '68A7', 'order': 68, 'powers': [35, 6], 'representative': 904, 'size': 4}
  • id: 112077639
    {'aut_label': '68A1', 'centralizer': '4.b1.a1', 'counter': 46, 'group_counter': 1448, 'group_order': 1088, 'label': '68A-7', 'order': 68, 'powers': [35, 5], 'representative': 216, 'size': 4}
  • id: 112077640
    {'aut_label': '68A1', 'centralizer': '4.b1.a1', 'counter': 47, 'group_counter': 1448, 'group_order': 1088, 'label': '68A9', 'order': 68, 'powers': [36, 5], 'representative': 88, 'size': 4}
  • id: 112077641
    {'aut_label': '68A-1', 'centralizer': '4.b1.a1', 'counter': 48, 'group_counter': 1448, 'group_order': 1088, 'label': '68A-9', 'order': 68, 'powers': [36, 6], 'representative': 1032, 'size': 4}
  • id: 112077642
    {'aut_label': '68B1', 'centralizer': '8.a1.a1', 'counter': 49, 'group_counter': 1448, 'group_order': 1088, 'label': '68B1', 'order': 68, 'powers': [33, 7], 'representative': 40, 'size': 8}
  • id: 112077644
    {'aut_label': '68B1', 'centralizer': '8.a1.a1', 'counter': 50, 'group_counter': 1448, 'group_order': 1088, 'label': '68B3', 'order': 68, 'powers': [34, 7], 'representative': 104, 'size': 8}
  • id: 112077645
    {'aut_label': '68B1', 'centralizer': '8.a1.a1', 'counter': 51, 'group_counter': 1448, 'group_order': 1088, 'label': '68B7', 'order': 68, 'powers': [35, 7], 'representative': 232, 'size': 8}
  • id: 112077646
    {'aut_label': '68B1', 'centralizer': '8.a1.a1', 'counter': 52, 'group_counter': 1448, 'group_order': 1088, 'label': '68B9', 'order': 68, 'powers': [36, 7], 'representative': 296, 'size': 8}
  • id: 112077647
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 53, 'group_counter': 1448, 'group_order': 1088, 'label': '136A1', 'order': 136, 'powers': [41, 9], 'representative': 69, 'size': 8}
  • id: 112077648
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 54, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-1', 'order': 136, 'powers': [42, 10], 'representative': 77, 'size': 8}
  • id: 112077649
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 55, 'group_counter': 1448, 'group_order': 1088, 'label': '136A3', 'order': 136, 'powers': [43, 10], 'representative': 229, 'size': 8}
  • id: 112077650
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 56, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-3', 'order': 136, 'powers': [44, 9], 'representative': 197, 'size': 8}
  • id: 112077651
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 57, 'group_counter': 1448, 'group_order': 1088, 'label': '136A5', 'order': 136, 'powers': [44, 9], 'representative': 325, 'size': 8}
  • id: 112077652
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 58, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-5', 'order': 136, 'powers': [43, 10], 'representative': 357, 'size': 8}
  • id: 112077653
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 59, 'group_counter': 1448, 'group_order': 1088, 'label': '136A7', 'order': 136, 'powers': [45, 10], 'representative': 165, 'size': 8}
  • id: 112077655
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 60, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-7', 'order': 136, 'powers': [46, 9], 'representative': 453, 'size': 8}
  • id: 112077656
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 61, 'group_counter': 1448, 'group_order': 1088, 'label': '136A9', 'order': 136, 'powers': [47, 9], 'representative': 517, 'size': 8}
  • id: 112077657
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 62, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-9', 'order': 136, 'powers': [48, 10], 'representative': 421, 'size': 8}
  • id: 112077658
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 63, 'group_counter': 1448, 'group_order': 1088, 'label': '136A11', 'order': 136, 'powers': [45, 10], 'representative': 101, 'size': 8}
  • id: 112077659
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 64, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-11', 'order': 136, 'powers': [46, 9], 'representative': 389, 'size': 8}
  • id: 112077660
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 65, 'group_counter': 1448, 'group_order': 1088, 'label': '136A13', 'order': 136, 'powers': [41, 9], 'representative': 261, 'size': 8}
  • id: 112077661
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 66, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-13', 'order': 136, 'powers': [42, 10], 'representative': 269, 'size': 8}
  • id: 112077662
    {'aut_label': '136A-1', 'centralizer': '8.h1.a1', 'counter': 67, 'group_counter': 1448, 'group_order': 1088, 'label': '136A15', 'order': 136, 'powers': [48, 10], 'representative': 37, 'size': 8}
  • id: 112077663
    {'aut_label': '136A1', 'centralizer': '8.h1.a1', 'counter': 68, 'group_counter': 1448, 'group_order': 1088, 'label': '136A-15', 'order': 136, 'powers': [47, 9], 'representative': 133, 'size': 8}
• 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: 5033778
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1a', '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], 'schur_index': 1}
  • id: 5033788
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1b', '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], 'schur_index': 1}
  • id: 5033789
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1c', '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], 'schur_index': 1}
  • id: 5033790
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1d', '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], 'schur_index': 1}
  • id: 5033791
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 5033792
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 5033795
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 2, 2, -2, 0, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5033779
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 2, 2, -2, 0, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5033793
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1g', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 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], 'schur_index': 1}
  • id: 5033794
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.1h', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 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], 'schur_index': 1}
  • id: 5033780
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.2c', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, 4, 4, 0, -4, -4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5033781
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.2d', 'multiplicity': 8, 'nt': [32, 271], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 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: 5033782
    {'cdim': 4, 'counter': 13, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.4a', 'multiplicity': 4, 'nt': [17, 3], 'qdim': 16, 'qvalues': [16, 16, 16, 0, 16, 16, 16, 0, 16, 16, 0, 0, 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], 'schur_index': 1}
  • id: 5033783
    {'cdim': 4, 'counter': 14, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.4b', 'multiplicity': 4, 'nt': [34, 5], 'qdim': 16, 'qvalues': [16, 16, 16, 0, 16, 16, 16, 0, -16, -16, 0, 0, 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], 'schur_index': 1}
  • id: 5033784
    {'cdim': 4, 'counter': 15, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.4c', 'multiplicity': 8, 'nt': [68, 0], 'qdim': 32, 'qvalues': [32, 32, -32, 0, 32, 32, -32, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5033785
    {'cdim': 4, 'counter': 16, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.4d', 'multiplicity': 8, 'nt': [136, 0], 'qdim': 32, 'qvalues': [32, 32, -32, 0, -32, -32, 32, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5033786
    {'cdim': 4, 'counter': 17, 'faithful': False, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.4e', 'multiplicity': 8, 'nt': [136, 0], 'qdim': 32, 'qvalues': [32, 32, 32, 0, -32, -32, -32, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5033787
    {'cdim': 8, 'counter': 18, 'faithful': True, 'group': '1088.1448', 'group_order': 1088, 'image': None, 'label': '1088.1448.8a', 'multiplicity': 8, 'nt': [544, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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: 8741363
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1088, 'label': '1088.1448.1a', '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]]]}
  • id: 8741374
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 544, 'label': '1088.1448.1b', '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]]]}
  • id: 8741385
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 544, 'label': '1088.1448.1c', '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]]]}
  • id: 8741396
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 544, 'label': '1088.1448.1d', '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]]]}
  • id: 8741407
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 272, 'label': '1088.1448.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]]]}
  • id: 8741418
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 272, 'label': '1088.1448.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]]]}
  • id: 8741428
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 272, 'label': '1088.1448.1f1', '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, 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]]]}
  • id: 8741429
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 272, 'label': '1088.1448.1f2', '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, 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]]]}
  • id: 8741430
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 9, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.e1.a1', 'kernel_order': 136, 'label': '1088.1448.1g1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 8741364
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 10, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.e1.a1', 'kernel_order': 136, 'label': '1088.1448.1g2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 8741365
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 11, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.e1.a1', 'kernel_order': 136, 'label': '1088.1448.1g3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 8741366
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 12, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.e1.a1', 'kernel_order': 136, 'label': '1088.1448.1g4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 8741367
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 13, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 136, 'label': '1088.1448.1h1', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 8741368
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 14, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 136, 'label': '1088.1448.1h2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 8741369
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 15, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 136, 'label': '1088.1448.1h3', 'nt': [8, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]]]}
  • id: 8741370
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 16, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 136, 'label': '1088.1448.1h4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]]]}
  • id: 8741371
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 272, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.d1.a1', 'kernel_order': 136, 'label': '1088.1448.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741372
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 272, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 136, 'label': '1088.1448.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741373
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 272, 'counter': 19, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 68, 'label': '1088.1448.2c1', 'nt': [8, 7], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741375
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 272, 'counter': 20, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 68, 'label': '1088.1448.2c2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741376
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 21, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d1', 'nt': [32, 271], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 1], [1, 5]], [[1, 1], [-1, 5]], [[1, 3], [-1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741377
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 22, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d2', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 3], [1, 7]], [[1, 3], [-1, 7]], [[1, 1], [-1, 5]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741378
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 23, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d3', 'nt': [32, 271], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 1], [-1, 5]], [[-1, 1], [1, 5]], [[-1, 3], [1, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741379
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 24, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d4', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 3], [-1, 7]], [[-1, 3], [1, 7]], [[-1, 1], [1, 5]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741380
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 25, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d5', 'nt': [32, 271], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[1, 3], [1, 7]], [[1, 3], [-1, 7]], [[-1, 3], [1, 7]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 3], [-1, 7]], [[1, 1], [-1, 5]], [[-1, 1], [1, 5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741381
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 26, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d6', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 1], [-1, 5]], [[-1, 1], [1, 5]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 1], [1, 5]], [[1, 3], [-1, 7]], [[-1, 3], [1, 7]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741382
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 27, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d7', 'nt': [32, 271], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 7]], [[1, 3], [-1, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 3], [1, 7]], [[-1, 1], [1, 5]], [[1, 1], [-1, 5]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741383
    {'center': '8.c1.a1', 'center_index': 8, 'center_order': 136, 'counter': 28, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '64.31', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 17, 'label': '1088.1448.2d8', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 1], [1, 5]], [[1, 1], [-1, 5]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 1], [-1, 5]], [[-1, 3], [1, 7]], [[1, 3], [-1, 7]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741384
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 29, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '68.3', 'image_order': 68, 'indicator': 1, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.1448.4a1', 'nt': [17, 3], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]]]}
  • id: 8741386
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 30, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '68.3', 'image_order': 68, 'indicator': 1, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.1448.4a2', 'nt': [17, 3], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[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, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]]]}
  • id: 8741387
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 31, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '68.3', 'image_order': 68, 'indicator': 1, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.1448.4a3', 'nt': [17, 3], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]]]}
  • id: 8741388
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 32, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '68.3', 'image_order': 68, 'indicator': 1, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.1448.4a4', 'nt': [17, 3], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[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, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]]]}
  • id: 8741389
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 33, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '136.13', 'image_order': 136, 'indicator': 1, 'kernel': '136.a1.a1', 'kernel_order': 8, 'label': '1088.1448.4b1', 'nt': [34, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]]]}
  • id: 8741390
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 34, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '136.13', 'image_order': 136, 'indicator': 1, 'kernel': '136.a1.a1', 'kernel_order': 8, 'label': '1088.1448.4b2', 'nt': [34, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[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, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]]]}
  • id: 8741391
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 35, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '136.13', 'image_order': 136, 'indicator': 1, 'kernel': '136.a1.a1', 'kernel_order': 8, 'label': '1088.1448.4b3', 'nt': [34, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]]]}
  • id: 8741392
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 36, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 1, -6, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '136.13', 'image_order': 136, 'indicator': 1, 'kernel': '136.a1.a1', 'kernel_order': 8, 'label': '1088.1448.4b4', 'nt': [34, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 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]], [[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, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]]]}
  • id: 8741393
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 37, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c1', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[-1, 2], [1, 8], [1, -8], [-1, -2]]]}
  • id: 8741394
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 38, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c2', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[1, 2], [-1, 8], [-1, -8], [1, -2]]]}
  • id: 8741395
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 39, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c3', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 3], [-1, 5], [-1, -5], [1, -3]]]}
  • id: 8741397
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 40, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c4', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 3], [1, 5], [1, -5], [-1, -3]]]}
  • id: 8741398
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 41, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c5', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 1], [1, 4], [1, -4], [-1, -1]]]}
  • id: 8741399
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 42, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c6', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 1], [-1, 4], [-1, -4], [1, -1]]]}
  • id: 8741400
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 43, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c7', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 6], [1, 7], [1, -7], [-1, -6]]]}
  • id: 8741401
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 44, 'cyclotomic_n': 17, 'dim': 4, 'faithful': False, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.35', 'image_order': 272, 'indicator': 1, 'kernel': '272.b1.a1', 'kernel_order': 4, 'label': '1088.1448.4c8', 'nt': [68, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 6], [1, 7], [1, -7], [1, -6]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 2], [1, 8], [1, -8], [1, -2]], [[1, 3], [1, 5], [1, -5], [1, -3]], [[1, 1], [1, 4], [1, -4], [1, -1]], [[-1, 2], [-1, 8], [-1, -8], [-1, -2]], [[-1, 6], [-1, 7], [-1, -7], [-1, -6]], [[-1, 3], [-1, 5], [-1, -5], [-1, -3]], [[-1, 1], [-1, 4], [-1, -4], [-1, -1]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[1, 1], [-1, 4], [-1, -4], [1, -1]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[-1, 1], [1, 4], [1, -4], [-1, -1]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 6], [1, 7], [1, -7], [-1, -6]], [[-1, 2], [1, 8], [1, -8], [-1, -2]], [[1, 3], [-1, 5], [-1, -5], [1, -3]], [[1, 6], [-1, 7], [-1, -7], [1, -6]], [[-1, 3], [1, 5], [1, -5], [-1, -3]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 2], [-1, 8], [-1, -8], [1, -2]], [[1, 6], [-1, 7], [-1, -7], [1, -6]]]}
  • id: 8741402
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 45, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d1', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 17]], [[4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]]]}
  • id: 8741403
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 46, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d2', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 17]], [[-4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]]]}
  • id: 8741404
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 47, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d3', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 17]], [[4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]]]}
  • id: 8741405
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 48, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d4', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 17]], [[-4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]]]}
  • id: 8741406
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 49, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d5', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 17]], [[4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]]]}
  • id: 8741408
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 50, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d6', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 17]], [[-4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]]]}
  • id: 8741409
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 51, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d7', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 17]], [[4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]]]}
  • id: 8741410
    {'center': '68.a1.a1', 'center_index': 68, 'center_order': 16, 'counter': 52, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.29', 'image_order': 272, 'indicator': 0, 'kernel': '272.c1.a1', 'kernel_order': 4, 'label': '1088.1448.4d8', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 17]], [[-4, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [1, 15], [-1, 17], [1, 19], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [-1, 15], [1, 17], [-1, 19], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [-1, 29], [1, 31]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[1, 7], [1, 11], [1, 23], [1, 27]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[-1, 7], [-1, 11], [-1, 23], [-1, 27]], [[-1, 3], [1, 5], [1, 29], [-1, 31]], [[-1, 9], [1, 15], [1, 19], [-1, 25]], [[1, 9], [-1, 15], [-1, 19], [1, 25]], [[1, 7], [1, 11], [1, 23], [1, 27]]]}
  • id: 8741411
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 53, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e1', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]]]}
  • id: 8741412
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 54, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e2', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]]]}
  • id: 8741413
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 55, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e3', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]]]}
  • id: 8741414
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 56, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e4', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]]]}
  • id: 8741415
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 57, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e5', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]]]}
  • id: 8741416
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 58, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e6', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]]]}
  • id: 8741417
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 59, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e7', 'nt': [136, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[-1, 7], [1, 11], [1, 23], [-1, 27]]]}
  • id: 8741419
    {'center': '136.a1.a1', 'center_index': 136, 'center_order': 8, 'counter': 60, 'cyclotomic_n': 68, 'dim': 4, 'faithful': False, 'field': [17, 0, 85, 0, 68, 0, 17, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '272.30', 'image_order': 272, 'indicator': 0, 'kernel': '272.a1.a1', 'kernel_order': 4, 'label': '1088.1448.4e8', 'nt': [136, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 0], [-1, 4], [1, 6], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18], [-1, 20], [1, 22], [-1, 24], [-1, 28], [1, 30]], [[-1, 6], [-1, 10], [1, 24], [1, 28]], [[1, 12], [-1, 14], [1, 20], [-1, 22]], [[1, 4], [1, 16], [-1, 18], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[1, 0], [1, 4], [-1, 6], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18], [1, 20], [-1, 22], [1, 24], [1, 28], [-1, 30]], [[1, 6], [1, 10], [-1, 24], [-1, 28]], [[-1, 12], [1, 14], [-1, 20], [1, 22]], [[-1, 4], [-1, 16], [1, 18], [1, 30]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-2, 13], [1, 15], [-1, 17], [1, 19], [-2, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [2, 13], [-1, 15], [1, 17], [-1, 19], [2, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[1, 7], [-1, 11], [-1, 23], [1, 27]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 3], [1, 5], [1, 29], [1, 31]], [[-1, 7], [1, 11], [1, 23], [-1, 27]], [[-1, 3], [-1, 5], [-1, 29], [-1, 31]], [[-1, 9], [-1, 15], [-1, 19], [-1, 25]], [[1, 9], [1, 15], [1, 19], [1, 25]], [[1, 7], [-1, 11], [-1, 23], [1, 27]]]}
  • id: 8741420
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 61, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a1', 'nt': [544, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-8, 17]], [[8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[2, 4], [2, 16], [-2, 18], [-2, 30]], [[-2, 0], [-2, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741421
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 62, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a2', 'nt': [544, 8], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 17]], [[-8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[2, 4], [2, 16], [-2, 18], [-2, 30]], [[-2, 0], [-2, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741422
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 63, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a3', 'nt': [544, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-8, 17]], [[8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 4], [2, 16], [-2, 18], [-2, 30]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741423
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 64, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a4', 'nt': [544, 8], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 17]], [[-8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 4], [2, 16], [-2, 18], [-2, 30]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741424
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 65, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a5', 'nt': [544, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-8, 17]], [[8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[-2, 0], [-2, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 4], [2, 16], [-2, 18], [-2, 30]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741425
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 66, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a6', 'nt': [544, 8], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 17]], [[-8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[-2, 0], [-2, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 4], [2, 16], [-2, 18], [-2, 30]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741426
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 67, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a7', 'nt': [544, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-8, 17]], [[8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 16], [-2, 18], [-2, 30]], [[-2, 0], [-2, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 8741427
    {'center': '272.b1.a1', 'center_index': 272, 'center_order': 4, 'counter': 68, 'cyclotomic_n': 68, 'dim': 8, 'faithful': True, 'field': [1, 0, 13, 0, 40, 0, 13, 0, 1], 'group': '1088.1448', 'group_counter': 1448, 'group_order': 1088, 'image': None, 'image_isoclass': '1088.1448', 'image_order': 1088, 'indicator': 0, 'kernel': '1088.a1.a1', 'kernel_order': 1, 'label': '1088.1448.8a8', 'nt': [544, 8], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 17]], [[-8, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 16], [-2, 18], [-2, 30]], [[-2, 0], [-2, 4], [2, 6], [2, 10], [-2, 12], [2, 14], [-2, 16], [2, 18], [-2, 20], [2, 22], [-2, 24], [-2, 28], [2, 30]], [[2, 12], [-2, 14], [2, 20], [-2, 22]], [[-2, 6], [-2, 10], [2, 24], [2, 28]], [[-2, 4], [-2, 16], [2, 18], [2, 30]], [[-2, 12], [2, 14], [-2, 20], [2, 22]], [[2, 6], [2, 10], [-2, 24], [-2, 28]], [[2, 0], [2, 4], [-2, 6], [-2, 10], [2, 12], [-2, 14], [2, 16], [-2, 18], [2, 20], [-2, 22], [2, 24], [2, 28], [-2, 30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, 11], [2, 23], [2, 27]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11], [2, 15], [-2, 17], [2, 19], [2, 23], [-2, 25], [2, 27], [-2, 29], [2, 31]], [[2, 3], [-2, 5], [-2, 29], [2, 31]], [[-2, 7], [-2, 11], [-2, 23], [-2, 27]], [[2, 9], [-2, 15], [-2, 19], [2, 25]], [[-2, 9], [2, 15], [2, 19], [-2, 25]], [[-2, 3], [2, 5], [2, 29], [-2, 31]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11], [-2, 15], [2, 17], [-2, 19], [-2, 23], [2, 25], [-2, 27], [2, 29], [-2, 31]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 69767326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1088, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 34, 'label': '1088.1448.1.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': '1088.1448', 'subgroup_hash': 1448, 'subgroup_order': 1088, 'subgroup_tex': 'D_{68}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69767337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 544, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '544.129', 'subgroup_hash': 129, 'subgroup_order': 544, 'subgroup_tex': 'C_8.D_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69767348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 544, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '544.73', 'subgroup_hash': 73, 'subgroup_order': 544, 'subgroup_tex': 'C_{34}:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 544, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '544.74', 'subgroup_hash': 74, 'subgroup_order': 544, 'subgroup_tex': 'C_{17}:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 69767370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 272, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '272.39', 'subgroup_hash': 39, 'subgroup_order': 272, 'subgroup_tex': 'D_{68}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69767378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 68, 'characteristic': True, 'core_order': 272, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.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': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '272.24', 'subgroup_hash': 24, 'subgroup_order': 272, 'subgroup_tex': '\\OD_{16}\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69767379
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 272, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.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': '272.9', 'subgroup_hash': 9, 'subgroup_order': 272, 'subgroup_tex': 'C_{34}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69767380
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 136, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '272.4', 'subgroup_hash': 4, 'subgroup_order': 272, 'subgroup_tex': 'C_8\\times D_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69767381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 136, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '272.5', 'subgroup_hash': 5, 'subgroup_order': 272, 'subgroup_tex': 'C_{136}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69767327
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 136, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '272.3', 'subgroup_hash': 3, 'subgroup_order': 272, 'subgroup_tex': 'C_{17}:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767328
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 136, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '272.3', 'subgroup_hash': 3, 'subgroup_order': 272, 'subgroup_tex': 'C_{17}:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767329
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 136, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.8.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.9', 'subgroup_hash': 9, 'subgroup_order': 136, 'subgroup_tex': 'C_2\\times C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69767330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 136, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.6', 'subgroup_hash': 6, 'subgroup_order': 136, 'subgroup_tex': 'D_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69767331
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 136, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.1', 'subgroup_hash': 1, 'subgroup_order': 136, 'subgroup_tex': 'C_{17}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69767332
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 136, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.1', 'subgroup_hash': 1, 'subgroup_order': 136, 'subgroup_tex': 'C_{17}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69767333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 136, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.4', 'subgroup_hash': 4, 'subgroup_order': 136, 'subgroup_tex': 'C_{17}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69767334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 68, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '136.8', 'subgroup_hash': 8, 'subgroup_order': 136, 'subgroup_tex': 'C_{17}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69767335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 68, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '136.5', 'subgroup_hash': 5, 'subgroup_order': 136, 'subgroup_tex': 'C_4\\times D_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69767336
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': False, 'core_order': 68, 'counter': 19, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 69767338
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 68, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.16.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': '16.6', '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': '68.5', 'subgroup_hash': 5, 'subgroup_order': 68, 'subgroup_tex': 'C_2\\times C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69767339
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': True, 'core_order': 68, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.1448.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69767340
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 68, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.1448.16.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': '16.5', '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': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69767341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 34, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '68.4', 'subgroup_hash': 4, 'subgroup_order': 68, 'subgroup_tex': 'D_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69767342
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 34, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.1', 'subgroup_hash': 1, 'subgroup_order': 68, 'subgroup_tex': 'C_{17}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69767343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1088.1448.17.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '17.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': 17, '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': '64.31', 'subgroup_hash': 31, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{32}:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 69767344
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': True, 'core_order': 34, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.1448.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': ['S', 'L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69767345
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': False, 'core_order': 17, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69767346
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 17, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.1', 'subgroup_hash': 1, 'subgroup_order': 34, 'subgroup_tex': 'D_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69767347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.34.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '34.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': 34, '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': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69767349
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.34.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '34.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': 34, '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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.34.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '34.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 34, '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': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 69767351
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': True, 'core_order': 17, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 17, 'label': '1088.1448.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_2', 'simple': True, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': 1, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
  • id: 69767352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 16, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.68.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{17}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.68.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.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': 68, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69767354
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.68.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 68, '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: 69767355
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.68.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.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': 68, '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: 69767356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.68.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.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': 68, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767357
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 38, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.68.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.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': 68, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767358
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.68.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 68, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69767360
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 8, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.136.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], '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: 69767361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.136.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.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': 136, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69767362
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.136.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 136, '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: 69767363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.136.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.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': 136, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69767364
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 4, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.136.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.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': 136, '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: 69767365
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.136.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.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': 136, '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: 69767366
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.136.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 136, '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: 69767367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.136.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 136, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69767368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 4, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.1448.272.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '272.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{17}:\\OD_{16}', '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: 69767369
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 4, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.1448.272.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '272.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.35', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{34}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], '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: 69767371
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 4, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.1448.272.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '272.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{17}:C_8', '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: 69767372
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.1448.272.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '272.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': 272, '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: 69767373
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.272.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '272.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': 272, '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: 69767374
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 2, 'counter': 53, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.1448.544.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '544.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '544.79', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 79, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 544, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{34}:C_8', '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: 69767375
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.544.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '544.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': 544, '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: 69767376
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.1448.544.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '544.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 544, '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: 69767377
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.1448', 'ambient_counter': 1448, 'ambient_order': 1088, 'ambient_tex': 'D_{68}.C_8', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 1, 'counter': 56, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1088.1448.1088.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1088.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1088.1448', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1448, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1088, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{68}.C_8', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', '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: 69767326
    {'ambient': '1088.1448', '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': '272.b1.a1', 'complements': ['1088.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '17.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8742, 3287, 8783, 3303, 8061, 3489, 7791, 3490], 'generators': [544, 8, 16, 4, 2, 1, 64], 'label': '1088.1448.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '272.35', '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': '272.35'}
  • id: 69767327
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1088.1674', 'aut_weyl_index': 8, 'centralizer': '272.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '68.f1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8390, -1, 8435, -1, 9204, -1, 7695, -1], 'generators': [16, 64, 24, 556, 3], 'label': '1088.1448.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.f1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '136.13'}
  • id: 69767328
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1088.1674', 'aut_weyl_index': 8, 'centralizer': '136.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.d1.a1', '68.g1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9317, -1, 9677, -1, 7718, -1, 8865, -1], 'generators': [16, 64, 8, 4, 2], 'label': '1088.1448.4.g1.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.g1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '68.3'}
  • id: 69767329
    {'ambient': '1088.1448', 'aut_centralizer_order': 272, 'aut_label': '8.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 272, 'centralizer': '8.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', '136.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4704, 6059, 4665, 6180, 3808, 5349, 3804, 5340], 'generators': [8, 544, 16, 64], 'label': '1088.1448.8.a1.a1', 'mobius_quo': 0, '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.b1.a1', '16.c1.a1', '136.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '272.35', 'quotient_action_image': '8.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 69767330
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2176.21799', 'aut_weyl_index': 4, 'centralizer': '272.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.d1.a1', '136.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2074, 8992, 1979, 7791, 1162, 9568, 1135, 8156], 'generators': [1, 552, 64, 16], 'label': '1088.1448.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '544.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '272.35'}
  • id: 69767331
    {'ambient': '1088.1448', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '544.242', 'aut_weyl_index': 16, 'centralizer': '68.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.f1.a1'], 'contains': ['16.b1.a1', '136.f1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7004, 3998, 7152, 4108, 7465, 3623, 6861, 3646], 'generators': [564, 8, 64, 16], 'label': '1088.1448.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '68.3'}
  • id: 69767332
    {'ambient': '1088.1448', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '544.242', 'aut_weyl_index': 16, 'centralizer': '136.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.b1.a1', '136.g1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7703, 2635, 7866, 2739, 6838, 2176, 7493, 2226], 'generators': [4, 8, 64, 16], 'label': '1088.1448.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '272.35', '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': '136.13'}
  • id: 69767333
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2176.21799', 'aut_weyl_index': 4, 'centralizer': '272.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.e1.a1', '136.h1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2685, 7800, 2602, 8987, 1710, 8304, 1688, 9398], 'generators': [561, 552, 64, 16], 'label': '1088.1448.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '544.79', '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': '272.35'}
  • id: 69767334
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1088.1681', 'aut_weyl_index': 8, 'centralizer': '272.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '136.b1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1465, -1, 1355, -1, 614, -1, 582, -1], 'generators': [1, 544, 64, 16], 'label': '1088.1448.8.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': '544.79', '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': '136.14'}
  • id: 69767335
    {'ambient': '1088.1448', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '544.242', 'aut_weyl_index': 16, 'centralizer': '136.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.e1.a1', '136.c1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3741, -1, 3681, -1, 2459, -1, 2443, -1], 'generators': [1, 8, 64, 16], 'label': '1088.1448.8.g1.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.g1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '68.4'}
  • id: 69767336
    {'ambient': '1088.1448', 'aut_centralizer_order': 136, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 272, 'centralizer': '8.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '136.e1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5696, -1, 5678, -1, 4493, -1, 4495, -1], 'generators': [5, 64, 16, 24], 'label': '1088.1448.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69767337
    {'ambient': '1088.1448', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4352.1118893', 'aut_weyl_index': 2, 'centralizer': '272.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '34.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6300, 5876, 6301, 5903, 5252, 6237, 5303, 6116], 'generators': [8, 16, 64, 544, 4, 1], 'label': '1088.1448.2.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'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '272.35'}
  • id: 69767338
    {'ambient': '1088.1448', 'aut_centralizer_order': 272, 'aut_label': '16.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 272, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '272.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1247, 6621, 1384, 6744, 851, 5131, 859, 5125], 'generators': [16, 544, 64], 'label': '1088.1448.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '272.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '544.79', 'quotient_action_image': '8.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 69767339
    {'ambient': '1088.1448', 'aut_centralizer_order': 544, 'aut_label': '16.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 544, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1', '8.g1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '272.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4927, 3998, 4892, 4108, 4461, 3599, 4500, 3622], 'generators': [8, 64, 16], 'label': '1088.1448.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '272.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '272.35', 'quotient_action_image': '4.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 69767340
    {'ambient': '1088.1448', 'aut_centralizer_order': 272, 'aut_label': '16.c1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 272, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.e1.a1'], 'contains': ['32.a1.a1', '272.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3137, 8064, 3111, 8193, 2901, 8316, 2927, 8252], 'generators': [552, 64, 16], 'label': '1088.1448.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.e1.a1'], 'normal_contains': ['32.a1.a1', '272.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '544.79', 'quotient_action_image': '8.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 69767341
    {'ambient': '1088.1448', 'aut_centralizer_order': 8, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '544.242', 'aut_weyl_index': 16, 'centralizer': '136.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '32.c1.a1', '272.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [508, -1, 629, -1, 187, -1, 189, -1], 'generators': [1, 16, 64], 'label': '1088.1448.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '544.79', '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': '68.4'}
  • id: 69767342
    {'ambient': '1088.1448', 'aut_centralizer_order': 8, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '544.242', 'aut_weyl_index': 16, 'centralizer': '136.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '272.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2303, -1, 2488, -1, 1594, -1, 1608, -1], 'generators': [545, 16, 64], 'label': '1088.1448.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '544.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '68.4'}
  • id: 69767343
    {'ambient': '1088.1448', 'aut_centralizer_order': 16, 'aut_label': '17.a1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '32.25', 'aut_weyl_index': 272, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['34.a1.a1', '34.b1.a1', '34.c1.a1'], 'core': '68.a1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [9523, -1, 9298, -1, 8440, -1, 8190, -1], 'generators': [1, 2], 'label': '1088.1448.17.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '17.a1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69767344
    {'ambient': '1088.1448', 'aut_centralizer_order': 544, 'aut_label': '32.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 544, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '544.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1470, 6758, 2363, 6881, 1594, 5045, 1608, 5042], 'generators': [16, 64], 'label': '1088.1448.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '544.79', 'quotient_action_image': '4.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 69767345
    {'ambient': '1088.1448', 'aut_centralizer_order': 272, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.1', 'aut_weyl_index': 544, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '544.b1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [730, -1, 893, -1, 1130, -1, 1140, -1], 'generators': [544, 64], 'label': '1088.1448.32.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.b1.a1', 'projective_image': '1088.1448', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 69767346
    {'ambient': '1088.1448', 'aut_centralizer_order': 8, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '272.50', 'aut_weyl_index': 32, 'centralizer': '136.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1'], 'contains': ['64.a1.a1', '544.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [208, -1, 359, -1, 661, -1, 667, -1], 'generators': [1, 64], 'label': '1088.1448.32.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.c1.a1', 'projective_image': '1088.1448', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '34.1'}
  • id: 69767347
    {'ambient': '1088.1448', 'aut_centralizer_order': 32, 'aut_label': '34.a1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '16.11', 'aut_weyl_index': 544, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '17.a1.a1'], 'contains': ['68.a1.a1', '68.b1.a1', '68.c1.a1', '68.d1.a1', '68.e1.a1'], 'core': '68.a1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [6541, -1, 6823, -1, 6032, -1, 5994, -1], 'generators': [1, 4, 544], 'label': '1088.1448.34.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '34.a1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69767348
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2176.21795', 'aut_weyl_index': 4, 'centralizer': '136.a1.a1', 'complements': ['544.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.g1.a1', '34.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9322, 1008, 9838, 1013, 7686, 1070, 8950, 3490], 'generators': [8, 16, 64, 4, 544, 2], 'label': '1088.1448.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '272.35', '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': '136.13'}
  • id: 69767349
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '34.b1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1088, 'centralizer': '34.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '17.a1.a1'], 'contains': ['68.c1.a1', '68.g1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [9792, -1, 9772, -1, 8461, -1, 9615, -1], 'generators': [2, 544], 'label': '1088.1448.34.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '34.b1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767350
    {'ambient': '1088.1448', 'aut_centralizer_order': 32, 'aut_label': '34.c1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '16.13', 'aut_weyl_index': 544, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '17.a1.a1'], 'contains': ['68.c1.a1', '68.f1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [9017, -1, 8982, -1, 9784, -1, 8280, -1], 'generators': [3, 544], 'label': '1088.1448.34.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '34.c1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69767351
    {'ambient': '1088.1448', 'aut_centralizer_order': 544, 'aut_label': '64.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 544, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['1088.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [696, 7296, 666, 7422, 1173, 5045, 1183, 5042], 'generators': [64], 'label': '1088.1448.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['1088.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '1088.1448', 'quotient_action_image': '4.1', 'quotient_action_kernel': '16.6', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 69767352
    {'ambient': '1088.1448', 'aut_centralizer_order': 1088, 'aut_label': '68.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1088, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '34.a1.a1'], 'contains': ['136.a1.a1', '136.e1.a1'], 'core': '68.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5291, 4673, 5276, 4787, 5014, 6954, 5021, 6915], 'generators': [5, 544], 'label': '1088.1448.68.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['136.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.a1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69767353
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '68.b1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1088, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '34.a1.a1'], 'contains': ['136.a1.a1', '136.b1.a1', '136.c1.a1', '136.d1.a1', '136.h1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [3888, -1, 3891, -1, 3133, -1, 3123, -1], 'generators': [1, 8, 544], 'label': '1088.1448.68.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '68.b1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69767354
    {'ambient': '1088.1448', 'aut_centralizer_order': 128, 'aut_label': '68.c1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2176, 'centralizer': '34.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '34.a1.a1', '34.b1.a1', '34.c1.a1'], 'contains': ['136.a1.a1', '136.f1.a1', '136.g1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [7815, -1, 7853, -1, 8140, -1, 8174, -1], 'generators': [4, 544], 'label': '1088.1448.68.c1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '68.c1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767355
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '68.d1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2176, 'centralizer': '68.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '34.a1.a1'], 'contains': ['136.c1.a1', '136.e1.a1', '136.f1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [6793, -1, 6212, -1, 6163, -1, 5649, -1], 'generators': [1, 564], 'label': '1088.1448.68.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.a1.a1', 'old_label': '68.d1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767356
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '68.e1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2176, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '34.a1.a1'], 'contains': ['136.c1.a1', '136.e1.a1', '136.g1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [6101, -1, 6919, -1, 5541, -1, 6276, -1], 'generators': [1, 4], 'label': '1088.1448.68.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.a1.a1', 'old_label': '68.e1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69767357
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '68.f1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '4.1', 'aut_weyl_index': 2176, 'centralizer': '68.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '34.c1.a1'], 'contains': ['136.f1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [8473, -1, 8753, -1, 9204, -1, 8769, -1], 'generators': [3], 'label': '1088.1448.68.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.c1.a1', 'old_label': '68.f1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767358
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '68.g1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '4.1', 'aut_weyl_index': 2176, 'centralizer': '34.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '34.b1.a1'], 'contains': ['136.g1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [9792, -1, 9772, -1, 8730, -1, 9237, -1], 'generators': [2], 'label': '1088.1448.68.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.b1.a1', 'old_label': '68.g1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69767359
    {'ambient': '1088.1448', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4352.1118895', 'aut_weyl_index': 2, 'centralizer': '272.b1.a1', 'complements': ['544.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.f1.a1', '34.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8155, 3287, 8417, 3303, 9225, 3489, 7398, 1116], 'generators': [24, 16, 64, 556, 544, 3], 'label': '1088.1448.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '272.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '272.35'}
  • id: 69767360
    {'ambient': '1088.1448', 'aut_centralizer_order': 4352, 'aut_label': '136.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '68.a1.a1', '68.b1.a1', '68.c1.a1'], 'contains': ['272.a1.a1', '272.b1.a1', '272.c1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4927, 5040, 5042, 5155, 5051, 6954, 5096, 6915], 'generators': [8, 544], 'label': '1088.1448.136.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.a1.a1', 'normal_contained_in': ['8.a1.a1', '68.a1.a1'], 'normal_contains': ['272.a1.a1', '272.b1.a1', '272.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.a1.a1', 'projective_image': '272.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '68.3', 'quotient_action_kernel_order': 68, 'quotient_fusion': None, 'short_label': '136.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767361
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '136.b1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2176, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '68.b1.a1'], 'contains': ['272.a1.a1', '272.d1.a1', '272.e1.a1'], 'core': '272.a1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [2227, -1, 2056, -1, 2100, -1, 2119, -1], 'generators': [1, 544], 'label': '1088.1448.136.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.a1.a1', 'old_label': '136.b1.a1', 'projective_image': '544.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69767362
    {'ambient': '1088.1448', 'aut_centralizer_order': 128, 'aut_label': '136.c1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '68.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '68.b1.a1', '68.d1.a1', '68.e1.a1'], 'contains': ['272.b1.a1', '272.d1.a1', '272.e1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [4128, -1, 4226, -1, 3871, -1, 3905, -1], 'generators': [1, 8], 'label': '1088.1448.136.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.a1.a1', 'old_label': '136.c1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767363
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '136.d1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1088, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '68.b1.a1'], 'contains': ['272.c1.a1', '272.d1.a1'], 'core': '272.c1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [2873, -1, 2943, -1, 2480, -1, 2501, -1], 'generators': [1, 552], 'label': '1088.1448.136.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '136.d1.a1', 'projective_image': '544.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69767364
    {'ambient': '1088.1448', 'aut_centralizer_order': 2176, 'aut_label': '136.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '68.a1.a1', '68.d1.a1', '68.e1.a1'], 'contains': ['272.b1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5761, -1, 5894, -1, 5600, -1, 5649, -1], 'generators': [5], 'label': '1088.1448.136.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '136.e1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767365
    {'ambient': '1088.1448', 'aut_centralizer_order': 256, 'aut_label': '136.f1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '17.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '68.c1.a1', '68.d1.a1', '68.f1.a1'], 'contains': ['272.b1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [7304, -1, 7332, -1, 7465, -1, 6861, -1], 'generators': [564], 'label': '1088.1448.136.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '136.f1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69767366
    {'ambient': '1088.1448', 'aut_centralizer_order': 256, 'aut_label': '136.g1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '34.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '68.c1.a1', '68.e1.a1', '68.g1.a1'], 'contains': ['272.b1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [7815, -1, 7853, -1, 6838, -1, 7493, -1], 'generators': [4], 'label': '1088.1448.136.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '136.g1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767367
    {'ambient': '1088.1448', 'aut_centralizer_order': 64, 'aut_label': '136.h1', 'aut_quo_index': None, 'aut_stab_index': 17, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1088, 'centralizer': '136.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '68.b1.a1'], 'contains': ['272.c1.a1', '272.e1.a1'], 'core': '272.c1.a1', 'coset_action_label': None, 'count': 17, 'diagramx': [3519, -1, 3603, -1, 3323, -1, 3352, -1], 'generators': [561, 552], 'label': '1088.1448.136.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '17.a1.a1', 'old_label': '136.h1.a1', 'projective_image': '544.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.h1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69767368
    {'ambient': '1088.1448', 'aut_centralizer_order': 4352, 'aut_label': '272.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '136.a1.a1', '136.b1.a1'], 'contains': ['544.a1.a1', '544.b1.a1'], 'core': '272.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2233, 5853, 2027, 5973, 2474, 6954, 2496, 6915], 'generators': [16, 544], 'label': '1088.1448.272.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '272.a1.a1', 'normal_contained_in': ['16.a1.a1', '136.a1.a1'], 'normal_contains': ['544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.a1.a1', 'projective_image': '544.79', 'quotient_action_image': '2.1', 'quotient_action_kernel': '136.3', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '272.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767369
    {'ambient': '1088.1448', 'aut_centralizer_order': 8704, 'aut_label': '272.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8704, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '136.a1.a1', '136.c1.a1', '136.e1.a1', '136.f1.a1', '136.g1.a1'], 'contains': ['544.a1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5438, 4971, 5564, 5086, 5051, 6018, 5096, 5996], 'generators': [8], 'label': '1088.1448.272.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '272.b1.a1', 'normal_contained_in': ['16.b1.a1', '136.a1.a1'], 'normal_contains': ['544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.b1.a1', 'projective_image': '272.35', 'quotient_action_image': '1.1', 'quotient_action_kernel': '272.35', 'quotient_action_kernel_order': 272, 'quotient_fusion': None, 'short_label': '272.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69767370
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2176.21799', 'aut_weyl_index': 4, 'centralizer': '272.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '68.b1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3149, 7927, 3076, 7963, 2459, 8413, 2443, 8311], 'generators': [16, 64, 544, 8, 1], 'label': '1088.1448.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '272.35'}
  • id: 69767371
    {'ambient': '1088.1448', 'aut_centralizer_order': 4352, 'aut_label': '272.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '136.a1.a1', '136.d1.a1', '136.h1.a1'], 'contains': ['544.a1.a1'], 'core': '272.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3196, 7170, 3274, 7296, 3260, 7890, 3288, 7834], 'generators': [552], 'label': '1088.1448.272.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '272.c1.a1', 'normal_contained_in': ['16.c1.a1', '136.a1.a1'], 'normal_contains': ['544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.c1.a1', 'projective_image': '544.79', 'quotient_action_image': '2.1', 'quotient_action_kernel': '136.3', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '272.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767372
    {'ambient': '1088.1448', 'aut_centralizer_order': 128, 'aut_label': '272.d1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '68.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '136.b1.a1', '136.c1.a1', '136.d1.a1'], 'contains': ['544.a1.a1', '544.c1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [1752, -1, 1534, -1, 2042, -1, 2060, -1], 'generators': [1, 16], 'label': '1088.1448.272.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.a1.a1', 'old_label': '272.d1.a1', 'projective_image': '544.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '272.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767373
    {'ambient': '1088.1448', 'aut_centralizer_order': 128, 'aut_label': '272.e1', 'aut_quo_index': None, 'aut_stab_index': 34, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4352, 'centralizer': '68.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '136.b1.a1', '136.c1.a1', '136.h1.a1'], 'contains': ['544.a1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 34, 'diagramx': [2685, -1, 2716, -1, 2880, -1, 2905, -1], 'generators': [545], 'label': '1088.1448.272.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '34.a1.a1', 'old_label': '272.e1.a1', 'projective_image': '544.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '272.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69767374
    {'ambient': '1088.1448', 'aut_centralizer_order': 8704, 'aut_label': '544.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8704, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '272.a1.a1', '272.b1.a1', '272.c1.a1', '272.d1.a1', '272.e1.a1'], 'contains': ['1088.a1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2233, 6540, 2386, 6663, 2474, 6018, 2496, 5996], 'generators': [16], 'label': '1088.1448.544.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '544.a1.a1', 'normal_contained_in': ['32.a1.a1', '272.a1.a1', '272.b1.a1', '272.c1.a1'], 'normal_contains': ['1088.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '544.a1.a1', 'projective_image': '544.79', 'quotient_action_image': '1.1', 'quotient_action_kernel': '544.79', 'quotient_action_kernel_order': 544, 'quotient_fusion': None, 'short_label': '544.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69767375
    {'ambient': '1088.1448', 'aut_centralizer_order': 4352, 'aut_label': '544.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8704, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '272.a1.a1'], 'contains': ['1088.a1.a1'], 'core': '1088.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1494, -1, 1043, -1, 2053, -1, 2071, -1], 'generators': [544], 'label': '1088.1448.544.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '272.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '544.b1.a1', 'projective_image': '1088.1448', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '544.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69767376
    {'ambient': '1088.1448', 'aut_centralizer_order': 128, 'aut_label': '544.c1', 'aut_quo_index': None, 'aut_stab_index': 68, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8704, 'centralizer': '68.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '272.d1.a1'], 'contains': ['1088.a1.a1'], 'core': '1088.a1.a1', 'coset_action_label': None, 'count': 68, 'diagramx': [1071, -1, 162, -1, 1673, -1, 1688, -1], 'generators': [1], 'label': '1088.1448.544.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '68.d1.a1', 'old_label': '544.c1.a1', 'projective_image': '1088.1448', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '544.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69767377
    {'ambient': '1088.1448', 'aut_centralizer_order': None, 'aut_label': '1088.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '544.a1.a1', '544.b1.a1', '544.c1.a1'], 'contains': [], 'core': '1088.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1283, 7170, 768, 7296, 1863, 5532, 1879, 5519], 'generators': [], 'label': '1088.1448.1088.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1088.a1.a1', 'normal_contained_in': ['64.a1.a1', '544.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1088.a1.a1', 'projective_image': '1088.1448', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1088.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69767378
    {'ambient': '1088.1448', 'aut_centralizer_order': 68, 'aut_label': '4.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '128.899', 'aut_weyl_index': 68, 'centralizer': '16.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.h1.a1', '68.a1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4229, 5818, 4185, 5845, 3486, 6176, 3426, 6116], 'generators': [24, 16, 64, 544, 5], 'label': '1088.1448.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '68.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 69767379
    {'ambient': '1088.1448', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1088.1681', 'aut_weyl_index': 8, 'centralizer': '136.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.d1.a1', '68.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7468, 3287, 7494, 3303, 6891, 3489, 6861, 3478], 'generators': [16, 64, 8, 544, 4], 'label': '1088.1448.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '272.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '136.13'}
  • id: 69767380
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1088.1681', 'aut_weyl_index': 8, 'centralizer': '136.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.g1.a1', '8.h1.a1', '68.d1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5443, -1, 5426, -1, 5252, -1, 4527, -1], 'generators': [16, 64, 8, 564, 1], 'label': '1088.1448.4.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': '272.35', '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': '68.4'}
  • id: 69767381
    {'ambient': '1088.1448', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1088.1681', 'aut_weyl_index': 8, 'centralizer': '272.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.g1.a1', '8.h1.a1', '68.e1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6300, -1, 6301, -1, 4482, -1, 5303, -1], 'generators': [16, 64, 8, 4, 1], 'label': '1088.1448.4.e1.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.e1.a1', 'projective_image': '272.35', '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': '136.14'}