Abstract group data - 512.60901

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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': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 128, 'aut_gen_orders': [128, 128, 128, 32, 16], 'aut_gens': [[3394918609, 4345495809, 66306], [2681985816, 16974849, 6508525], [848729686, 16974849, 1965536], [712933059, 4345495809, 6508525], [526212582, 4345495809, 9547293], [3751385260, 16974849, 9547293]], 'aut_group': None, 'aut_hash': 5301000952128746153, 'aut_nilpotency_class': 7, 'aut_nilpotent': True, 'aut_order': 16384, 'aut_permdeg': 130, 'aut_perms': [791373987130149288358280414751763645172663316270145265832902049571568053585743441486912506814854474545928778663515472588704232977945188576224495921873885374851145121893424304215512073274230992853625704629623430827852402, 2028654819496668313671309348149099006475559886983503865826931475029689482232471406028819884379197010220686795245371380405932684330131023390768979656597974329276230569395043665706384360200752080417068737870335477533699275, 496347206902409733993486462356512159020221455587605029506551947911948258599250350924102134721592001245669645647285421481427238694802820635327408077299269444513207977682248512437813624181148825554845015977590231922636108, 2404623162891761774713128674151408923748065385170185724606600642687012096496480327306192006974719080234057159833590742971249824103959886719915325307844086177829492584785193259349340853487561946796344611354129098899115057, 5941159117453858156314685400098630310801331023524241705476458680074033529022082336279418310260448752912438043192803553169248772129871910356131676300148056723589882570338544587605427803540653367859766511885395180061953962], 'aut_phi_ratio': 64.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 64, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 64, 2, 1], [8, 2, 2, 2], [16, 2, 4, 2], [32, 2, 8, 2], [64, 2, 16, 2], [128, 2, 32, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_{64}.C_{16}.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 64, 'autcentquo_group': '2048.ctr', 'autcentquo_hash': 5971394143399402126, 'autcentquo_nilpotent': True, 'autcentquo_order': 2048, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_{64}:C_{16}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 64, 2], [4, 1, 2], [4, 2, 1], [4, 64, 2], [8, 2, 4], [16, 2, 8], [32, 2, 16], [64, 2, 32], [128, 2, 64]], 'center_label': '4.1', 'center_order': 4, 'central_product': True, 'central_quotient': '128.161', 'commutator_count': 1, 'commutator_label': '64.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 60901, '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, 64, 1, 2], [4, 1, 2, 1], [4, 2, 1, 1], [4, 64, 1, 2], [8, 2, 2, 2], [16, 2, 4, 2], [32, 2, 8, 2], [64, 2, 16, 2], [128, 2, 32, 2]], 'element_repr_type': 'GLFp', 'elementary': 2, 'eulerian_function': 2688, 'exponent': 128, 'exponents_of_order': [9], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [[2, 0, 64]], 'familial': False, 'frattini_label': '64.1', 'frattini_quotient': '8.5', 'hash': 60901, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 64, 'inner_gen_orders': [64, 2, 2], 'inner_gens': [[3394918609, 4345495809, 5392374], [3394918609, 4345495809, 16974336], [152771537, 16974849, 66306]], 'inner_hash': 161, 'inner_nilpotent': True, 'inner_order': 128, 'inner_split': False, 'inner_tex': 'D_{64}', 'inner_used': [1, 3], 'irrC_degree': 2, 'irrQ_degree': 128, 'irrQ_dim': 128, 'irrR_degree': 4, 'irrep_stats': [[1, 8], [2, 126]], 'label': '512.60901', 'linC_count': 64, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 128, 'linQ_degree_count': 1, 'linQ_dim': 128, 'linQ_dim_count': 1, 'linR_count': 32, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D128:C2', 'ngens': 3, 'nilpotency_class': 7, 'nilpotent': True, 'normal_counts': [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': 17, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 134, 'number_divisions': 19, 'number_normal_subgroups': 32, 'number_subgroup_autclasses': 50, 'number_subgroup_classes': 75, 'number_subgroups': 658, 'old_label': None, 'order': 512, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 131], [4, 132], [8, 8], [16, 16], [32, 32], [64, 64], [128, 128]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 32, 'outer_gen_orders': [2, 2, 32], 'outer_gen_pows': [16974594, 152771537, 16974594], 'outer_gens': [[3394918609, 16974849, 66306], [3394918609, 4345495809, 13212113], [3649537599, 4345495809, 66306]], 'outer_group': '128.988', 'outer_hash': 988, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 36, 'outer_perms': [8683317618811886495518194401280000000, 10333147966386144929666651337523200000000, 8524723348622079135464422073668427], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_{32}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 256, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 2], [8, 2], [16, 2], [32, 2], [128, 1]], 'representations': {'PC': {'code': '11440413553271651923116934856180592319045615486', 'gens': [1, 2, 9], 'pres': [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4573, 46, 6806, 74, 8931, 102, 10804, 130, 12101, 158, 12102, 186, 31112]}, 'GLFp': {'d': 2, 'p': 257, 'gens': [3394918609, 4345495809, 66306]}, 'Perm': {'d': 256, 'gens': 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• 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: 110537706
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 60901, 'group_order': 512, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 16974594, 'size': 1}
  • id: 110537752
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 60901, 'group_order': 512, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 4345496064, 'size': 1}
  • id: 110537763
    {'aut_label': '2B', 'centralizer': '2.b1.a1', 'counter': 3, 'group_counter': 60901, 'group_order': 512, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 4345495809, 'size': 2}
  • id: 110537774
    {'aut_label': '2C', 'centralizer': '64.e1.a1', 'counter': 4, 'group_counter': 60901, 'group_order': 512, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 5392374, 'size': 64}
  • id: 110537785
    {'aut_label': '2C', 'centralizer': '64.e1.b1', 'counter': 5, 'group_counter': 60901, 'group_order': 512, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 14227263, 'size': 64}
  • id: 110537796
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 60901, 'group_order': 512, 'label': '4A1', 'order': 4, 'powers': [2], 'representative': 271593504, 'size': 1}
  • id: 110537807
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 60901, 'group_order': 512, 'label': '4A-1', 'order': 4, 'powers': [2], 'representative': 4090877154, 'size': 1}
  • id: 110537818
    {'aut_label': '4B', 'centralizer': '2.b1.a1', 'counter': 8, 'group_counter': 60901, 'group_order': 512, 'label': '4B', 'order': 4, 'powers': [2], 'representative': 4090876929, 'size': 2}
  • id: 110537829
    {'aut_label': '4C', 'centralizer': '64.e1.b1', 'counter': 9, 'group_counter': 60901, 'group_order': 512, 'label': '4C', 'order': 4, 'powers': [2], 'representative': 3767106, 'size': 64}
  • id: 110537707
    {'aut_label': '4C', 'centralizer': '64.e1.a1', 'counter': 10, 'group_counter': 60901, 'group_order': 512, 'label': '4D', 'order': 4, 'powers': [2], 'representative': 15578569, 'size': 64}
  • id: 110537718
    {'aut_label': '8A1', 'centralizer': '2.b1.a1', 'counter': 11, 'group_counter': 60901, 'group_order': 512, 'label': '8A1', 'order': 8, 'powers': [8], 'representative': 1086373956, 'size': 2}
  • id: 110537729
    {'aut_label': '8A1', 'centralizer': '2.b1.a1', 'counter': 12, 'group_counter': 60901, 'group_order': 512, 'label': '8A-1', 'order': 8, 'powers': [8], 'representative': 4294572222, 'size': 2}
  • id: 110537740
    {'aut_label': '8B1', 'centralizer': '2.b1.a1', 'counter': 13, 'group_counter': 60901, 'group_order': 512, 'label': '8B1', 'order': 8, 'powers': [8], 'representative': 3276096453, 'size': 2}
  • id: 110537746
    {'aut_label': '8B1', 'centralizer': '2.b1.a1', 'counter': 14, 'group_counter': 60901, 'group_order': 512, 'label': '8B3', 'order': 8, 'powers': [8], 'representative': 4294572093, 'size': 2}
  • id: 110537747
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 15, 'group_counter': 60901, 'group_order': 512, 'label': '16A1', 'order': 16, 'powers': [13], 'representative': 2172747906, 'size': 2}
  • id: 110537748
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 16, 'group_counter': 60901, 'group_order': 512, 'label': '16A-1', 'order': 16, 'powers': [13], 'representative': 4328521344, 'size': 2}
  • id: 110537749
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 17, 'group_counter': 60901, 'group_order': 512, 'label': '16A3', 'order': 16, 'powers': [14], 'representative': 543186984, 'size': 2}
  • id: 110537750
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 60901, 'group_order': 512, 'label': '16A-3', 'order': 16, 'powers': [14], 'representative': 4226673882, 'size': 2}
  • id: 110537751
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  • id: 110537753
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  • id: 110537754
    {'aut_label': '16B1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 60901, 'group_order': 512, 'label': '16B5', 'order': 16, 'powers': [13], 'representative': 2189722499, 'size': 2}
  • id: 110537755
    {'aut_label': '16B1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 60901, 'group_order': 512, 'label': '16B7', 'order': 16, 'powers': [14], 'representative': 543187225, 'size': 2}
  • id: 110537756
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  • id: 110537757
    {'aut_label': '32A1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 60901, 'group_order': 512, 'label': '32A-1', 'order': 32, 'powers': [19], 'representative': 4107851626, 'size': 2}
  • id: 110537758
    {'aut_label': '32A1', 'centralizer': '2.b1.a1', 'counter': 25, 'group_counter': 60901, 'group_order': 512, 'label': '32A3', 'order': 32, 'powers': [20], 'representative': 1154272358, 'size': 2}
  • id: 110537759
    {'aut_label': '32A1', 'centralizer': '2.b1.a1', 'counter': 26, 'group_counter': 60901, 'group_order': 512, 'label': '32A-3', 'order': 32, 'powers': [20], 'representative': 3785334428, 'size': 2}
  • id: 110537760
    {'aut_label': '32A1', 'centralizer': '2.b1.a1', 'counter': 27, 'group_counter': 60901, 'group_order': 512, 'label': '32A5', 'order': 32, 'powers': [21], 'representative': 3343994851, 'size': 2}
  • id: 110537761
    {'aut_label': '32A1', 'centralizer': '2.b1.a1', 'counter': 28, 'group_counter': 60901, 'group_order': 512, 'label': '32A-5', 'order': 32, 'powers': [21], 'representative': 3853232671, 'size': 2}
  • id: 110537762
    {'aut_label': '32A1', 'centralizer': '2.b1.a1', 'counter': 29, 'group_counter': 60901, 'group_order': 512, 'label': '32A7', 'order': 32, 'powers': [22], 'representative': 4073902441, 'size': 2}
  • id: 110537764
    {'aut_label': '32A1', 'centralizer': '2.b1.a1', 'counter': 30, 'group_counter': 60901, 'group_order': 512, 'label': '32A-7', 'order': 32, 'powers': [22], 'representative': 2308544665, 'size': 2}
  • id: 110537765
    {'aut_label': '32B1', 'centralizer': '2.b1.a1', 'counter': 31, 'group_counter': 60901, 'group_order': 512, 'label': '32B1', 'order': 32, 'powers': [22], 'representative': 288568202, 'size': 2}
  • id: 110537766
    {'aut_label': '32B1', 'centralizer': '2.b1.a1', 'counter': 32, 'group_counter': 60901, 'group_order': 512, 'label': '32B3', 'order': 32, 'powers': [21], 'representative': 509237850, 'size': 2}
  • id: 110537767
    {'aut_label': '32B1', 'centralizer': '2.b1.a1', 'counter': 33, 'group_counter': 60901, 'group_order': 512, 'label': '32B5', 'order': 32, 'powers': [20], 'representative': 3208198111, 'size': 2}
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    {'aut_label': '32B1', 'centralizer': '2.b1.a1', 'counter': 34, 'group_counter': 60901, 'group_order': 512, 'label': '32B7', 'order': 32, 'powers': [19], 'representative': 2325519483, 'size': 2}
  • id: 110537769
    {'aut_label': '32B1', 'centralizer': '2.b1.a1', 'counter': 35, 'group_counter': 60901, 'group_order': 512, 'label': '32B9', 'order': 32, 'powers': [19], 'representative': 254619015, 'size': 2}
  • id: 110537770
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  • id: 110537772
    {'aut_label': '32B1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 60901, 'group_order': 512, 'label': '32B15', 'order': 32, 'powers': [22], 'representative': 2308544888, 'size': 2}
  • id: 110537773
    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 60901, 'group_order': 512, 'label': '64A1', 'order': 64, 'powers': [31], 'representative': 1188221521, 'size': 2}
  • id: 110537775
    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 60901, 'group_order': 512, 'label': '64A-1', 'order': 64, 'powers': [31], 'representative': 4175750065, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 41, 'group_counter': 60901, 'group_order': 512, 'label': '64A3', 'order': 64, 'powers': [32], 'representative': 2749884112, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 42, 'group_counter': 60901, 'group_order': 512, 'label': '64A-3', 'order': 64, 'powers': [32], 'representative': 3581639218, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 43, 'group_counter': 60901, 'group_order': 512, 'label': '64A5', 'order': 64, 'powers': [33], 'representative': 3123325281, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 44, 'group_counter': 60901, 'group_order': 512, 'label': '64A-5', 'order': 64, 'powers': [33], 'representative': 1493764257, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 45, 'group_counter': 60901, 'group_order': 512, 'label': '64A7', 'order': 64, 'powers': [34], 'representative': 2478290622, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 46, 'group_counter': 60901, 'group_order': 512, 'label': '64A-7', 'order': 64, 'powers': [34], 'representative': 3615588420, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 60901, 'group_order': 512, 'label': '64A9', 'order': 64, 'powers': [35], 'representative': 3972054952, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 48, 'group_counter': 60901, 'group_order': 512, 'label': '64A-9', 'order': 64, 'powers': [35], 'representative': 1137297754, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 49, 'group_counter': 60901, 'group_order': 512, 'label': '64A11', 'order': 64, 'powers': [36], 'representative': 2087875056, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 50, 'group_counter': 60901, 'group_order': 512, 'label': '64A-11', 'order': 64, 'powers': [36], 'representative': 2376443154, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 52, 'group_counter': 60901, 'group_order': 512, 'label': '64A-13', 'order': 64, 'powers': [37], 'representative': 3989029577, 'size': 2}
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    {'aut_label': '64A1', 'centralizer': '2.b1.a1', 'counter': 54, 'group_counter': 60901, 'group_order': 512, 'label': '64A-15', 'order': 64, 'powers': [38], 'representative': 2987528533, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 55, 'group_counter': 60901, 'group_order': 512, 'label': '64B1', 'order': 64, 'powers': [38], 'representative': 2800807926, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 56, 'group_counter': 60901, 'group_order': 512, 'label': '64B3', 'order': 64, 'powers': [37], 'representative': 373441268, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 57, 'group_counter': 60901, 'group_order': 512, 'label': '64B5', 'order': 64, 'powers': [36], 'representative': 2376443143, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 58, 'group_counter': 60901, 'group_order': 512, 'label': '64B7', 'order': 64, 'powers': [35], 'representative': 3225172693, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 62, 'group_counter': 60901, 'group_order': 512, 'label': '64B15', 'order': 64, 'powers': [31], 'representative': 186720710, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 63, 'group_counter': 60901, 'group_order': 512, 'label': '64B17', 'order': 64, 'powers': [31], 'representative': 1188221756, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 64, 'group_counter': 60901, 'group_order': 512, 'label': '64B19', 'order': 64, 'powers': [32], 'representative': 1612586381, 'size': 2}
  • id: 110537802
    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 65, 'group_counter': 60901, 'group_order': 512, 'label': '64B21', 'order': 64, 'powers': [33], 'representative': 3123325200, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 66, 'group_counter': 60901, 'group_order': 512, 'label': '64B23', 'order': 64, 'powers': [34], 'representative': 3615588455, 'size': 2}
  • id: 110537804
    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 67, 'group_counter': 60901, 'group_order': 512, 'label': '64B25', 'order': 64, 'powers': [35], 'representative': 3972054829, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 68, 'group_counter': 60901, 'group_order': 512, 'label': '64B27', 'order': 64, 'powers': [36], 'representative': 2274595579, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 69, 'group_counter': 60901, 'group_order': 512, 'label': '64B29', 'order': 64, 'powers': [37], 'representative': 594110990, 'size': 2}
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    {'aut_label': '64B1', 'centralizer': '2.b1.a1', 'counter': 70, 'group_counter': 60901, 'group_order': 512, 'label': '64B31', 'order': 64, 'powers': [38], 'representative': 2987528460, 'size': 2}
  • id: 110537809
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  • id: 110537810
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 72, 'group_counter': 60901, 'group_order': 512, 'label': '128A-1', 'order': 128, 'powers': [55], 'representative': 4209699264, 'size': 2}
  • id: 110537811
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 73, 'group_counter': 60901, 'group_order': 512, 'label': '128A3', 'order': 128, 'powers': [56], 'representative': 3649537648, 'size': 2}
  • id: 110537812
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 74, 'group_counter': 60901, 'group_order': 512, 'label': '128A-3', 'order': 128, 'powers': [56], 'representative': 1765357714, 'size': 2}
  • id: 110537813
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 75, 'group_counter': 60901, 'group_order': 512, 'label': '128A5', 'order': 128, 'powers': [57], 'representative': 3327020287, 'size': 2}
  • id: 110537814
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 76, 'group_counter': 60901, 'group_order': 512, 'label': '128A-5', 'order': 128, 'powers': [57], 'representative': 3360969475, 'size': 2}
  • id: 110537815
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  • id: 110537816
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  • id: 110537817
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  • id: 110537819
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 80, 'group_counter': 60901, 'group_order': 512, 'label': '128A-9', 'order': 128, 'powers': [59], 'representative': 3938105648, 'size': 2}
  • id: 110537820
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  • id: 110537821
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 82, 'group_counter': 60901, 'group_order': 512, 'label': '128A-11', 'order': 128, 'powers': [60], 'representative': 4141800870, 'size': 2}
  • id: 110537822
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  • id: 110537823
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 84, 'group_counter': 60901, 'group_order': 512, 'label': '128A-13', 'order': 128, 'powers': [61], 'representative': 2851731650, 'size': 2}
  • id: 110537824
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  • id: 110537825
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 86, 'group_counter': 60901, 'group_order': 512, 'label': '128A-15', 'order': 128, 'powers': [62], 'representative': 3751385103, 'size': 2}
  • id: 110537826
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  • id: 110537827
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 88, 'group_counter': 60901, 'group_order': 512, 'label': '128A-17', 'order': 128, 'powers': [63], 'representative': 3870207399, 'size': 2}
  • id: 110537828
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  • id: 110537830
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 90, 'group_counter': 60901, 'group_order': 512, 'label': '128A-19', 'order': 128, 'powers': [64], 'representative': 2003002072, 'size': 2}
  • id: 110537831
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 91, 'group_counter': 60901, 'group_order': 512, 'label': '128A21', 'order': 128, 'powers': [65], 'representative': 3530715365, 'size': 2}
  • id: 110537832
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 92, 'group_counter': 60901, 'group_order': 512, 'label': '128A-21', 'order': 128, 'powers': [65], 'representative': 4006003997, 'size': 2}
  • id: 110537833
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 93, 'group_counter': 60901, 'group_order': 512, 'label': '128A23', 'order': 128, 'powers': [66], 'representative': 2427366923, 'size': 2}
  • id: 110537834
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 94, 'group_counter': 60901, 'group_order': 512, 'label': '128A-23', 'order': 128, 'powers': [66], 'representative': 2257620983, 'size': 2}
  • id: 110537835
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 95, 'group_counter': 60901, 'group_order': 512, 'label': '128A25', 'order': 128, 'powers': [67], 'representative': 2665011119, 'size': 2}
  • id: 110537836
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 96, 'group_counter': 60901, 'group_order': 512, 'label': '128A-25', 'order': 128, 'powers': [67], 'representative': 4056927827, 'size': 2}
  • id: 110537837
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 97, 'group_counter': 60901, 'group_order': 512, 'label': '128A27', 'order': 128, 'powers': [68], 'representative': 3479791738, 'size': 2}
  • id: 110537838
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 98, 'group_counter': 60901, 'group_order': 512, 'label': '128A-27', 'order': 128, 'powers': [68], 'representative': 1425865864, 'size': 2}
  • id: 110537839
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 99, 'group_counter': 60901, 'group_order': 512, 'label': '128A29', 'order': 128, 'powers': [69], 'representative': 2681985829, 'size': 2}
  • id: 110537708
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 100, 'group_counter': 60901, 'group_order': 512, 'label': '128A-29', 'order': 128, 'powers': [69], 'representative': 2070900445, 'size': 2}
  • id: 110537709
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 101, 'group_counter': 60901, 'group_order': 512, 'label': '128A31', 'order': 128, 'powers': [70], 'representative': 2393417726, 'size': 2}
  • id: 110537710
    {'aut_label': '128A1', 'centralizer': '2.b1.a1', 'counter': 102, 'group_counter': 60901, 'group_order': 512, 'label': '128A-31', 'order': 128, 'powers': [70], 'representative': 2444341508, 'size': 2}
  • id: 110537711
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 103, 'group_counter': 60901, 'group_order': 512, 'label': '128B1', 'order': 128, 'powers': [55], 'representative': 3394918609, 'size': 2}
  • id: 110537712
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 104, 'group_counter': 60901, 'group_order': 512, 'label': '128B3', 'order': 128, 'powers': [56], 'representative': 3649537599, 'size': 2}
  • id: 110537713
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 105, 'group_counter': 60901, 'group_order': 512, 'label': '128B5', 'order': 128, 'powers': [57], 'representative': 3360969610, 'size': 2}
  • id: 110537714
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 106, 'group_counter': 60901, 'group_order': 512, 'label': '128B7', 'order': 128, 'powers': [58], 'representative': 3377944038, 'size': 2}
  • id: 110537715
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 107, 'group_counter': 60901, 'group_order': 512, 'label': '128B9', 'order': 128, 'powers': [59], 'representative': 3938105761, 'size': 2}
  • id: 110537716
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 108, 'group_counter': 60901, 'group_order': 512, 'label': '128B11', 'order': 128, 'powers': [60], 'representative': 4141800771, 'size': 2}
  • id: 110537717
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 109, 'group_counter': 60901, 'group_order': 512, 'label': '128B13', 'order': 128, 'powers': [61], 'representative': 3921131151, 'size': 2}
  • id: 110537719
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 110, 'group_counter': 60901, 'group_order': 512, 'label': '128B15', 'order': 128, 'powers': [62], 'representative': 3751385260, 'size': 2}
  • id: 110537720
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 111, 'group_counter': 60901, 'group_order': 512, 'label': '128B17', 'order': 128, 'powers': [63], 'representative': 3870207266, 'size': 2}
  • id: 110537721
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 112, 'group_counter': 60901, 'group_order': 512, 'label': '128B19', 'order': 128, 'powers': [64], 'representative': 2359468525, 'size': 2}
  • id: 110537722
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 113, 'group_counter': 60901, 'group_order': 512, 'label': '128B21', 'order': 128, 'powers': [65], 'representative': 4006004156, 'size': 2}
  • id: 110537723
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 114, 'group_counter': 60901, 'group_order': 512, 'label': '128B23', 'order': 128, 'powers': [66], 'representative': 2427366932, 'size': 2}
  • id: 110537724
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 115, 'group_counter': 60901, 'group_order': 512, 'label': '128B25', 'order': 128, 'powers': [67], 'representative': 1697459318, 'size': 2}
  • id: 110537725
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 116, 'group_counter': 60901, 'group_order': 512, 'label': '128B27', 'order': 128, 'powers': [68], 'representative': 2936604641, 'size': 2}
  • id: 110537726
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 117, 'group_counter': 60901, 'group_order': 512, 'label': '128B29', 'order': 128, 'powers': [69], 'representative': 2291570154, 'size': 2}
  • id: 110537727
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 118, 'group_counter': 60901, 'group_order': 512, 'label': '128B31', 'order': 128, 'powers': [70], 'representative': 2444341533, 'size': 2}
  • id: 110537728
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 119, 'group_counter': 60901, 'group_order': 512, 'label': '128B33', 'order': 128, 'powers': [70], 'representative': 1969052901, 'size': 2}
  • id: 110537730
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 120, 'group_counter': 60901, 'group_order': 512, 'label': '128B35', 'order': 128, 'powers': [69], 'representative': 2681985816, 'size': 2}
  • id: 110537731
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 121, 'group_counter': 60901, 'group_order': 512, 'label': '128B37', 'order': 128, 'powers': [68], 'representative': 3479791649, 'size': 2}
  • id: 110537732
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 122, 'group_counter': 60901, 'group_order': 512, 'label': '128B39', 'order': 128, 'powers': [67], 'representative': 4056927884, 'size': 2}
  • id: 110537733
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 123, 'group_counter': 60901, 'group_order': 512, 'label': '128B41', 'order': 128, 'powers': [66], 'representative': 2104849646, 'size': 2}
  • id: 110537734
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 124, 'group_counter': 60901, 'group_order': 512, 'label': '128B43', 'order': 128, 'powers': [65], 'representative': 831755078, 'size': 2}
  • id: 110537735
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 125, 'group_counter': 60901, 'group_order': 512, 'label': '128B45', 'order': 128, 'powers': [64], 'representative': 2698960405, 'size': 2}
  • id: 110537736
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 126, 'group_counter': 60901, 'group_order': 512, 'label': '128B47', 'order': 128, 'powers': [63], 'representative': 3310045664, 'size': 2}
  • id: 110537737
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 127, 'group_counter': 60901, 'group_order': 512, 'label': '128B49', 'order': 128, 'powers': [62], 'representative': 848729686, 'size': 2}
  • id: 110537738
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 128, 'group_counter': 60901, 'group_order': 512, 'label': '128B51', 'order': 128, 'powers': [61], 'representative': 1510738803, 'size': 2}
  • id: 110537739
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 129, 'group_counter': 60901, 'group_order': 512, 'label': '128B53', 'order': 128, 'powers': [60], 'representative': 3021477567, 'size': 2}
  • id: 110537741
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 130, 'group_counter': 60901, 'group_order': 512, 'label': '128B55', 'order': 128, 'powers': [59], 'representative': 1222170721, 'size': 2}
  • id: 110537742
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 131, 'group_counter': 60901, 'group_order': 512, 'label': '128B57', 'order': 128, 'powers': [58], 'representative': 3836258076, 'size': 2}
  • id: 110537743
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 132, 'group_counter': 60901, 'group_order': 512, 'label': '128B59', 'order': 128, 'powers': [57], 'representative': 1035450232, 'size': 2}
  • id: 110537744
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 133, 'group_counter': 60901, 'group_order': 512, 'label': '128B61', 'order': 128, 'powers': [56], 'representative': 2597112771, 'size': 2}
  • id: 110537745
    {'aut_label': '128B1', 'centralizer': '2.b1.a1', 'counter': 134, 'group_counter': 60901, 'group_order': 512, 'label': '128B63', 'order': 128, 'powers': [55], 'representative': 4209699121, 'size': 2}
• gps_qchar •

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

  
  
  • id: 4653391
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4653402
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4653403
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4653404
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4653405
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4653406
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4653407
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4653408
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4653409
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 0, -2, -2, 2, 0, 0, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4653392
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4653393
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2c', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, -4, -4, 4, 0, 0, -4, -4, 4, 4, -4, 4, 4, -4, -4, -4, 4, 4, -4, -4, -4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4653394
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2d', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4653395
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2e', 'multiplicity': 4, 'nt': [16, 56], 'qdim': 8, 'qvalues': [8, 8, -8, 0, 0, -8, -8, 8, 0, 0, -8, -8, 8, 8, 8, -8, -8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4653396
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2f', 'multiplicity': 4, 'nt': [16, 56], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4653397
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2g', 'multiplicity': 8, 'nt': [32, 374], 'qdim': 16, 'qvalues': [16, 16, -16, 0, 0, -16, -16, 16, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4653398
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2h', 'multiplicity': 8, 'nt': [32, 374], 'qdim': 16, 'qvalues': [16, 16, 16, 0, 0, 16, 16, 16, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4653399
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2i', 'multiplicity': 16, 'nt': [64, 0], 'qdim': 32, 'qvalues': [32, 32, -32, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4653400
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2j', 'multiplicity': 16, 'nt': [64, 0], 'qdim': 32, 'qvalues': [32, 32, 32, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4653401
    {'cdim': 2, 'counter': 19, 'faithful': True, 'group': '512.60901', 'group_order': 512, 'image': None, 'label': '512.60901.2k', 'multiplicity': 64, 'nt': [256, 0], 'qdim': 128, 'qvalues': [128, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 7445165
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 512, 'label': '512.60901.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7445211
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 256, 'label': '512.60901.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7445222
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.b1', 'kernel_order': 256, 'label': '512.60901.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7445233
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 256, 'label': '512.60901.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7445244
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 256, 'label': '512.60901.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7445255
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 256, 'label': '512.60901.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7445266
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.b1', 'kernel_order': 256, 'label': '512.60901.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7445277
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 256, 'label': '512.60901.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7445288
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 128, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 64, 'label': '512.60901.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7445166
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 128, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 64, 'label': '512.60901.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7445177
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 64, 'counter': 11, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.b1.a1', 'kernel_order': 32, 'label': '512.60901.2c1', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445188
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 64, 'counter': 12, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.b1.a1', 'kernel_order': 32, 'label': '512.60901.2c2', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445199
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 64, 'counter': 13, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.a1.a1', 'kernel_order': 32, 'label': '512.60901.2d1', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445205
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 64, 'counter': 14, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.a1.a1', 'kernel_order': 32, 'label': '512.60901.2d2', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445206
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 15, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1.a1', 'kernel_order': 16, 'label': '512.60901.2e1', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445207
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 16, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1.a1', 'kernel_order': 16, 'label': '512.60901.2e2', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445208
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 17, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1.a1', 'kernel_order': 16, 'label': '512.60901.2e3', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 7445209
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 18, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1.a1', 'kernel_order': 16, 'label': '512.60901.2e4', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 7445210
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 19, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1.a1', 'kernel_order': 16, 'label': '512.60901.2f1', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 7445212
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 20, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1.a1', 'kernel_order': 16, 'label': '512.60901.2f2', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 7445213
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 21, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1.a1', 'kernel_order': 16, 'label': '512.60901.2f3', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445214
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 32, 'counter': 22, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [2, 0, -4, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '32.18', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1.a1', 'kernel_order': 16, 'label': '512.60901.2f4', 'nt': [16, 56], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445215
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 23, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.60901.2g1', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 7445216
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 24, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.60901.2g2', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 7445217
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 25, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.60901.2g3', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 7445218
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 26, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.60901.2g4', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 7445219
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 27, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.60901.2g5', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]]]}
  • id: 7445220
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  • id: 7445221
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 29, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.60901.2g7', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445223
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 30, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.60901.2g8', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445224
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 31, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.60901.2h1', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 7445225
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  • id: 7445226
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 33, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.60901.2h3', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 7445227
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 34, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.60901.2h4', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 7445228
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 35, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.60901.2h5', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445229
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 36, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.60901.2h6', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445230
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 37, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.60901.2h7', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]]]}
  • id: 7445231
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 38, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.60901.2h8', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]]]}
  • id: 7445232
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 39, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i1', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 7445242
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 48, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i10', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 15], [1, -15]]]}
  • id: 7445243
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 49, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i11', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445245
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 50, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i12', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445246
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  • id: 7445247
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  • id: 7445248
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  • id: 7445249
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  • id: 7445234
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  • id: 7445235
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 41, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i3', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]]]}
  • id: 7445236
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  • id: 7445237
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 43, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i5', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]]]}
  • id: 7445238
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 44, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i6', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 11], [1, -11]]]}
  • id: 7445239
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 45, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i7', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 7445240
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 46, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i8', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 7445241
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 47, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.60901.2i9', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]]]}
  • id: 7445250
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  • id: 7445260
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  • id: 7445261
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  • id: 7445262
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  • id: 7445263
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  • id: 7445264
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  • id: 7445265
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  • id: 7445267
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 70, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.a1.a1', 'kernel_order': 4, 'label': '512.60901.2j16', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]]]}
  • id: 7445251
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 56, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.a1.a1', 'kernel_order': 4, 'label': '512.60901.2j2', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445252
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  • id: 7445253
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  • id: 7445254
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  • id: 7445256
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  • id: 7445257
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 61, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.a1.a1', 'kernel_order': 4, 'label': '512.60901.2j7', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]]]}
  • id: 7445258
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 62, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.a1.a1', 'kernel_order': 4, 'label': '512.60901.2j8', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]]]}
  • id: 7445259
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 63, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.a1.a1', 'kernel_order': 4, 'label': '512.60901.2j9', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 13], [1, -13]]]}
  • id: 7445268
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k1', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 26], [-1, 38]], [[1, 30], [1, 34]], [[1, 18], [1, 46]], [[1, 18], [1, -18]], [[-1, 30], [-1, 34]], [[1, 6], [1, 58]], [[1, 14], [1, -14]], [[-1, 10], [-1, 54]], [[-1, 14], [-1, 50]], [[1, 22], [1, -22]], [[1, 26], [1, -26]], [[-1, 6], [-1, 58]], [[1, 26], [1, 38]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, 42]], [[-1, 18], [-1, 46]], [[1, 10], [1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 10], [-1, -10]], [[1, 14], [1, 50]], [[-1, 2], [-1, 62]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[1, 2], [1, 62]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 5], [-1, 59]], [[-1, 25], [-1, 39]], [[1, 5], [1, -5]], [[-1, 7], [-1, 57]], [[-1, 1], [-1, 63]], [[1, 7], [1, -7]], [[-1, 13], [-1, 51]], [[-1, 25], [-1, -25]], [[1, 5], [1, 59]], [[-1, 9], [-1, -9]], [[-1, 27], [-1, 37]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[1, 23], [1, 41]], [[1, 19], [1, -19]], [[1, 29], [1, -29]], [[-1, 31], [-1, 33]], [[-1, 23], [-1, 41]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 21], [1, 43]], [[-1, 31], [-1, -31]], [[-1, 17], [-1, 47]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 19], [1, 45]], [[1, 21], [1, -21]], [[1, 31], [1, 33]], [[1, 15], [1, 49]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[1, 7], [1, 57]], [[1, 17], [1, 47]], [[1, 9], [1, 55]], [[-1, 3], [-1, 61]], [[-1, 1], [-1, -1]], [[1, 13], [1, 51]], [[-1, 21], [-1, 43]], [[-1, 29], [-1, -29]], [[-1, 3], [-1, -3]], [[1, 31], [1, -31]], [[1, 1], [1, 63]], [[1, 29], [1, 35]], [[1, 9], [1, -9]], [[1, 11], [1, 53]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, 55]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, 53]], [[1, 3], [1, 61]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 29], [-1, 35]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, 49]], [[1, 25], [1, 39]], [[1, 27], [1, 37]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]]]}
  • id: 7445278
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k10', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[1, 6], [1, 58]], [[1, 2], [1, 62]], [[-1, 14], [-1, 50]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, 62]], [[1, 26], [1, 38]], [[1, 18], [1, -18]], [[1, 22], [1, 42]], [[-1, 18], [-1, 46]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, 38]], [[-1, 6], [-1, 58]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, 54]], [[1, 14], [1, 50]], [[-1, 22], [-1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 18], [1, 46]], [[1, 30], [1, 34]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[1, 21], [1, 43]], [[-1, 23], [-1, 41]], [[1, 21], [1, -21]], [[1, 9], [1, 55]], [[-1, 17], [-1, 47]], [[-1, 9], [-1, -9]], [[1, 29], [1, 35]], [[-1, 23], [-1, -23]], [[-1, 21], [-1, 43]], [[1, 25], [1, -25]], [[1, 11], [1, 53]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, 57]], [[1, 3], [1, -3]], [[-1, 19], [-1, -19]], [[-1, 15], [-1, 49]], [[-1, 7], [-1, 57]], [[-1, 17], [-1, -17]], [[1, 31], [1, -31]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, 37]], [[1, 15], [1, -15]], [[-1, 31], [-1, 33]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, 61]], [[-1, 27], [-1, -27]], [[1, 15], [1, 49]], [[-1, 1], [-1, 63]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, 55]], [[1, 31], [1, 33]], [[1, 25], [1, 39]], [[-1, 13], [-1, 51]], [[1, 17], [1, -17]], [[-1, 29], [-1, 35]], [[1, 27], [1, 37]], [[1, 19], [1, -19]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 17], [1, 47]], [[-1, 19], [-1, 45]], [[-1, 25], [-1, -25]], [[1, 5], [1, 59]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, 39]], [[1, 3], [1, 61]], [[-1, 5], [-1, 59]], [[1, 13], [1, 51]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 19], [1, 45]], [[1, 27], [1, -27]], [[1, 1], [1, 63]], [[1, 23], [1, 41]], [[-1, 11], [-1, 53]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]]]}
  • id: 7445279
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k11', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, 62]], [[1, 14], [1, 50]], [[-1, 14], [-1, -14]], [[1, 2], [1, 62]], [[-1, 26], [-1, 38]], [[1, 18], [1, -18]], [[-1, 22], [-1, 42]], [[1, 18], [1, 46]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 26], [1, 38]], [[1, 6], [1, 58]], [[-1, 26], [-1, -26]], [[1, 10], [1, 54]], [[-1, 14], [-1, 50]], [[1, 22], [1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 18], [-1, 46]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[1, 30], [1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[1, 21], [1, 43]], [[-1, 23], [-1, 41]], [[-1, 21], [-1, -21]], [[1, 9], [1, 55]], [[-1, 17], [-1, 47]], [[1, 9], [1, -9]], [[1, 29], [1, 35]], [[1, 23], [1, -23]], [[-1, 21], [-1, 43]], [[-1, 25], [-1, -25]], [[1, 11], [1, 53]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, 57]], [[-1, 3], [-1, -3]], [[1, 19], [1, -19]], [[-1, 15], [-1, 49]], [[-1, 7], [-1, 57]], [[1, 17], [1, -17]], [[-1, 31], [-1, -31]], [[1, 21], [1, -21]], [[-1, 27], [-1, 37]], [[-1, 15], [-1, -15]], [[-1, 31], [-1, 33]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 3], [-1, 61]], [[1, 27], [1, -27]], [[1, 15], [1, 49]], [[-1, 1], [-1, 63]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, 55]], [[1, 31], [1, 33]], [[1, 25], [1, 39]], [[-1, 13], [-1, 51]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, 35]], [[1, 27], [1, 37]], [[-1, 19], [-1, -19]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 17], [1, 47]], [[-1, 19], [-1, 45]], [[1, 25], [1, -25]], [[1, 5], [1, 59]], [[1, 31], [1, -31]], [[-1, 25], [-1, 39]], [[1, 3], [1, 61]], [[-1, 5], [-1, 59]], [[1, 13], [1, 51]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 19], [1, 45]], [[-1, 27], [-1, -27]], [[1, 1], [1, 63]], [[1, 23], [1, 41]], [[-1, 11], [-1, 53]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]]]}
  • id: 7445280
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 82, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k12', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[1, 6], [1, 58]], [[1, 2], [1, 62]], [[-1, 14], [-1, 50]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, 62]], [[1, 26], [1, 38]], [[1, 18], [1, -18]], [[1, 22], [1, 42]], [[-1, 18], [-1, 46]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, 38]], [[-1, 6], [-1, 58]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, 54]], [[1, 14], [1, 50]], [[-1, 22], [-1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[1, 18], [1, 46]], [[1, 30], [1, 34]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[-1, 21], [-1, 43]], [[1, 23], [1, 41]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, 55]], [[1, 17], [1, 47]], [[1, 9], [1, -9]], [[-1, 29], [-1, 35]], [[1, 23], [1, -23]], [[1, 21], [1, 43]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, 53]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, 57]], [[-1, 3], [-1, -3]], [[1, 19], [1, -19]], [[1, 15], [1, 49]], [[1, 7], [1, 57]], [[1, 17], [1, -17]], [[-1, 31], [-1, -31]], [[1, 21], [1, -21]], [[1, 27], [1, 37]], [[-1, 15], [-1, -15]], [[1, 31], [1, 33]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 3], [1, 61]], [[1, 27], [1, -27]], [[-1, 15], [-1, 49]], [[1, 1], [1, 63]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, 55]], [[-1, 31], [-1, 33]], [[-1, 25], [-1, 39]], [[1, 13], [1, 51]], [[-1, 17], [-1, -17]], [[1, 29], [1, 35]], [[-1, 27], [-1, 37]], [[-1, 19], [-1, -19]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 17], [-1, 47]], [[1, 19], [1, 45]], [[1, 25], [1, -25]], [[-1, 5], [-1, 59]], [[1, 31], [1, -31]], [[1, 25], [1, 39]], [[-1, 3], [-1, 61]], [[1, 5], [1, 59]], [[-1, 13], [-1, 51]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 19], [-1, 45]], [[-1, 27], [-1, -27]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, 41]], [[1, 11], [1, 53]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]]]}
  • id: 7445281
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 83, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k13', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[1, 6], [1, 58]], [[1, 2], [1, 62]], [[-1, 14], [-1, 50]], [[1, 14], [1, -14]], [[-1, 2], [-1, 62]], [[1, 26], [1, 38]], [[-1, 18], [-1, -18]], [[1, 22], [1, 42]], [[-1, 18], [-1, 46]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 26], [-1, 38]], [[-1, 6], [-1, 58]], [[1, 26], [1, -26]], [[-1, 10], [-1, 54]], [[1, 14], [1, 50]], [[-1, 22], [-1, 42]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 18], [1, 46]], [[1, 30], [1, 34]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[1, 10], [1, 54]], [[1, 18], [1, -18]], [[-1, 30], [-1, 34]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, 53]], [[-1, 9], [-1, 55]], [[-1, 11], [-1, -11]], [[-1, 23], [-1, 41]], [[1, 15], [1, 49]], [[1, 23], [1, -23]], [[-1, 3], [-1, 61]], [[-1, 9], [-1, -9]], [[1, 11], [1, 53]], [[-1, 7], [-1, -7]], [[1, 21], [1, 43]], [[1, 9], [1, -9]], [[-1, 27], [-1, -27]], [[1, 31], [1, -31]], [[1, 25], [1, 39]], [[1, 29], [1, -29]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, 47]], [[-1, 25], [-1, 39]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 5], [-1, 59]], [[1, 17], [1, -17]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, -23]], [[-1, 31], [-1, -31]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, -19]], [[1, 27], [1, -27]], [[-1, 29], [-1, 35]], [[-1, 5], [-1, -5]], [[1, 17], [1, 47]], [[1, 31], [1, 33]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 23], [1, 41]], [[1, 1], [1, 63]], [[-1, 7], [-1, 57]], [[1, 19], [1, 45]], [[-1, 15], [-1, -15]], [[1, 3], [1, 61]], [[1, 5], [1, 59]], [[1, 13], [1, -13]], [[1, 19], [1, -19]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, 49]], [[-1, 13], [-1, 51]], [[1, 7], [1, -7]], [[-1, 27], [-1, 37]], [[-1, 1], [-1, -1]], [[1, 7], [1, 57]], [[1, 29], [1, 35]], [[1, 27], [1, 37]], [[-1, 19], [-1, 45]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 13], [1, 51]], [[1, 5], [1, -5]], [[-1, 31], [-1, 33]], [[1, 9], [1, 55]], [[-1, 21], [-1, 43]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]]]}
  • id: 7445282
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  • id: 7445283
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 85, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k15', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[1, 6], [1, 58]], [[1, 2], [1, 62]], [[-1, 14], [-1, 50]], [[1, 14], [1, -14]], [[-1, 2], [-1, 62]], [[1, 26], [1, 38]], [[-1, 18], [-1, -18]], [[1, 22], [1, 42]], [[-1, 18], [-1, 46]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 26], [-1, 38]], [[-1, 6], [-1, 58]], [[1, 26], [1, -26]], [[-1, 10], [-1, 54]], [[1, 14], [1, 50]], [[-1, 22], [-1, 42]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[1, 18], [1, 46]], [[1, 30], [1, 34]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[1, 10], [1, 54]], [[1, 18], [1, -18]], [[-1, 30], [-1, 34]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[1, 11], [1, 53]], [[1, 9], [1, 55]], [[1, 11], [1, -11]], [[1, 23], [1, 41]], [[-1, 15], [-1, 49]], [[-1, 23], [-1, -23]], [[1, 3], [1, 61]], [[1, 9], [1, -9]], [[-1, 11], [-1, 53]], [[1, 7], [1, -7]], [[-1, 21], [-1, 43]], [[-1, 9], [-1, -9]], [[1, 27], [1, -27]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, 39]], [[-1, 29], [-1, -29]], [[1, 13], [1, -13]], [[1, 17], [1, 47]], [[1, 25], [1, 39]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[1, 5], [1, 59]], [[-1, 17], [-1, -17]], [[1, 1], [1, 63]], [[1, 23], [1, -23]], [[1, 31], [1, -31]], [[1, 29], [1, -29]], [[1, 19], [1, -19]], [[-1, 27], [-1, -27]], [[1, 29], [1, 35]], [[1, 5], [1, -5]], [[-1, 17], [-1, 47]], [[-1, 31], [-1, 33]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 23], [-1, 41]], [[-1, 1], [-1, 63]], [[1, 7], [1, 57]], [[-1, 19], [-1, 45]], [[1, 15], [1, -15]], [[-1, 3], [-1, 61]], [[-1, 5], [-1, 59]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[1, 17], [1, -17]], [[1, 15], [1, 49]], [[1, 13], [1, 51]], [[-1, 7], [-1, -7]], [[1, 27], [1, 37]], [[1, 1], [1, -1]], [[-1, 7], [-1, 57]], [[-1, 29], [-1, 35]], [[-1, 27], [-1, 37]], [[1, 19], [1, 45]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, 51]], [[-1, 5], [-1, -5]], [[1, 31], [1, 33]], [[-1, 9], [-1, 55]], [[1, 21], [1, 43]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]]]}
  • id: 7445284
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 86, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k16', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, 62]], [[1, 14], [1, 50]], [[1, 14], [1, -14]], [[1, 2], [1, 62]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, -18]], [[-1, 22], [-1, 42]], [[1, 18], [1, 46]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 26], [1, 38]], [[1, 6], [1, 58]], [[1, 26], [1, -26]], [[1, 10], [1, 54]], [[-1, 14], [-1, 50]], [[1, 22], [1, 42]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, 46]], [[-1, 30], [-1, 34]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, 54]], [[1, 18], [1, -18]], [[1, 30], [1, 34]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, 53]], [[-1, 9], [-1, 55]], [[1, 11], [1, -11]], [[-1, 23], [-1, 41]], [[1, 15], [1, 49]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, 61]], [[1, 9], [1, -9]], [[1, 11], [1, 53]], [[1, 7], [1, -7]], [[1, 21], [1, 43]], [[-1, 9], [-1, -9]], [[1, 27], [1, -27]], [[-1, 31], [-1, -31]], [[1, 25], [1, 39]], [[-1, 29], [-1, -29]], [[1, 13], [1, -13]], [[-1, 17], [-1, 47]], [[-1, 25], [-1, 39]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, 59]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, 63]], [[1, 23], [1, -23]], [[1, 31], [1, -31]], [[1, 29], [1, -29]], [[1, 19], [1, -19]], [[-1, 27], [-1, -27]], [[-1, 29], [-1, 35]], [[1, 5], [1, -5]], [[1, 17], [1, 47]], [[1, 31], [1, 33]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 23], [1, 41]], [[1, 1], [1, 63]], [[-1, 7], [-1, 57]], [[1, 19], [1, 45]], [[1, 15], [1, -15]], [[1, 3], [1, 61]], [[1, 5], [1, 59]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[1, 17], [1, -17]], [[-1, 15], [-1, 49]], [[-1, 13], [-1, 51]], [[-1, 7], [-1, -7]], [[-1, 27], [-1, 37]], [[1, 1], [1, -1]], [[1, 7], [1, 57]], [[1, 29], [1, 35]], [[1, 27], [1, 37]], [[-1, 19], [-1, 45]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 13], [1, 51]], [[-1, 5], [-1, -5]], [[-1, 31], [-1, 33]], [[1, 9], [1, 55]], [[-1, 21], [-1, 43]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]]]}
  • id: 7445285
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  • id: 7445286
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 88, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k18', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[1, 12], [1, 52]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 12], [-1, -12]], [[1, 22], [1, 42]], [[1, 14], [1, 50]], [[1, 30], [1, 34]], [[1, 30], [1, -30]], [[-1, 14], [-1, 50]], [[1, 10], [1, 54]], [[-1, 2], [-1, -2]], [[1, 26], [1, 38]], [[1, 2], [1, 62]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, 54]], [[-1, 22], [-1, 42]], [[-1, 10], [-1, -10]], [[1, 6], [1, 58]], [[-1, 30], [-1, 34]], [[-1, 26], [-1, 38]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[-1, 26], [-1, -26]], [[-1, 2], [-1, 62]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 6], [-1, 58]], [[1, 2], [1, -2]], [[1, 18], [1, 46]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[1, 13], [1, 51]], [[-1, 1], [-1, 63]], [[1, 13], [1, -13]], [[-1, 31], [-1, 33]], [[-1, 23], [-1, 41]], [[-1, 31], [-1, -31]], [[-1, 21], [-1, 43]], [[1, 1], [1, -1]], [[-1, 13], [-1, 51]], [[1, 15], [1, -15]], [[1, 19], [1, 45]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 25], [-1, -25]], [[1, 17], [1, 47]], [[-1, 11], [-1, -11]], [[1, 27], [1, -27]], [[1, 9], [1, 55]], [[-1, 17], [-1, 47]], [[1, 23], [1, -23]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 29], [-1, 35]], [[1, 9], [1, -9]], [[-1, 7], [-1, 57]], [[1, 31], [1, -31]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 11], [1, 53]], [[1, 29], [1, -29]], [[-1, 9], [-1, 55]], [[-1, 25], [-1, 39]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 31], [1, 33]], [[1, 7], [1, 57]], [[-1, 15], [-1, 49]], [[1, 5], [1, 59]], [[-1, 23], [-1, -23]], [[1, 21], [1, 43]], [[1, 29], [1, 35]], [[-1, 27], [-1, -27]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 23], [1, 41]], [[1, 27], [1, 37]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, 61]], [[-1, 7], [-1, -7]], [[1, 15], [1, 49]], [[-1, 11], [-1, 53]], [[1, 3], [1, 61]], [[-1, 5], [-1, 59]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 27], [-1, 37]], [[-1, 29], [-1, -29]], [[1, 25], [1, 39]], [[1, 1], [1, 63]], [[-1, 19], [-1, 45]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]]]}
  • id: 7445287
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 89, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k19', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[-1, 12], [-1, -12]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, 50]], [[-1, 30], [-1, 34]], [[1, 30], [1, -30]], [[1, 14], [1, 50]], [[-1, 10], [-1, 54]], [[-1, 2], [-1, -2]], [[-1, 26], [-1, 38]], [[-1, 2], [-1, 62]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 10], [1, 54]], [[1, 22], [1, 42]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, 58]], [[1, 30], [1, 34]], [[1, 26], [1, 38]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[-1, 26], [-1, -26]], [[1, 2], [1, 62]], [[1, 18], [1, 46]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 6], [1, 58]], [[1, 2], [1, -2]], [[-1, 18], [-1, 46]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[1, 13], [1, 51]], [[-1, 1], [-1, 63]], [[-1, 13], [-1, -13]], [[-1, 31], [-1, 33]], [[-1, 23], [-1, 41]], [[1, 31], [1, -31]], [[-1, 21], [-1, 43]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, 51]], [[-1, 15], [-1, -15]], [[1, 19], [1, 45]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 25], [1, -25]], [[1, 17], [1, 47]], [[1, 11], [1, -11]], [[-1, 27], [-1, -27]], [[1, 9], [1, 55]], [[-1, 17], [-1, 47]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[-1, 29], [-1, 35]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, 53]], [[-1, 29], [-1, -29]], [[-1, 9], [-1, 55]], [[-1, 25], [-1, 39]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 31], [1, 33]], [[1, 7], [1, 57]], [[-1, 15], [-1, 49]], [[1, 5], [1, 59]], [[1, 23], [1, -23]], [[1, 21], [1, 43]], [[1, 29], [1, 35]], [[1, 27], [1, -27]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 23], [1, 41]], [[1, 27], [1, 37]], [[1, 15], [1, -15]], [[-1, 3], [-1, 61]], [[1, 7], [1, -7]], [[1, 15], [1, 49]], [[-1, 11], [-1, 53]], [[1, 3], [1, 61]], [[-1, 5], [-1, 59]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, 37]], [[1, 29], [1, -29]], [[1, 25], [1, 39]], [[1, 1], [1, 63]], [[-1, 19], [-1, 45]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]]]}
  • id: 7445269
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k2', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[1, 26], [1, 38]], [[-1, 30], [-1, 34]], [[-1, 18], [-1, 46]], [[1, 18], [1, -18]], [[1, 30], [1, 34]], [[-1, 6], [-1, 58]], [[1, 14], [1, -14]], [[1, 10], [1, 54]], [[1, 14], [1, 50]], [[1, 22], [1, -22]], [[1, 26], [1, -26]], [[1, 6], [1, 58]], [[-1, 26], [-1, 38]], [[-1, 6], [-1, -6]], [[1, 22], [1, 42]], [[1, 18], [1, 46]], [[-1, 10], [-1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, 50]], [[1, 2], [1, 62]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, 62]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 5], [1, 59]], [[1, 25], [1, 39]], [[1, 5], [1, -5]], [[1, 7], [1, 57]], [[1, 1], [1, 63]], [[1, 7], [1, -7]], [[1, 13], [1, 51]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, 59]], [[-1, 9], [-1, -9]], [[1, 27], [1, 37]], [[1, 25], [1, -25]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 23], [-1, 41]], [[1, 19], [1, -19]], [[1, 29], [1, -29]], [[1, 31], [1, 33]], [[1, 23], [1, 41]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, 43]], [[-1, 31], [-1, -31]], [[1, 17], [1, 47]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, 45]], [[1, 21], [1, -21]], [[-1, 31], [-1, 33]], [[-1, 15], [-1, 49]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 7], [-1, 57]], [[-1, 17], [-1, 47]], [[-1, 9], [-1, 55]], [[1, 3], [1, 61]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, 51]], [[1, 21], [1, 43]], [[-1, 29], [-1, -29]], [[-1, 3], [-1, -3]], [[1, 31], [1, -31]], [[-1, 1], [-1, 63]], [[-1, 29], [-1, 35]], [[1, 9], [1, -9]], [[-1, 11], [-1, 53]], [[-1, 17], [-1, -17]], [[1, 9], [1, 55]], [[1, 19], [1, 45]], [[1, 11], [1, 53]], [[-1, 3], [-1, 61]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 29], [1, 35]], [[-1, 21], [-1, -21]], [[1, 15], [1, 49]], [[-1, 25], [-1, 39]], [[-1, 27], [-1, 37]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]]]}
  • id: 7445289
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 90, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k20', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[1, 12], [1, 52]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 12], [-1, -12]], [[1, 22], [1, 42]], [[1, 14], [1, 50]], [[1, 30], [1, 34]], [[1, 30], [1, -30]], [[-1, 14], [-1, 50]], [[1, 10], [1, 54]], [[-1, 2], [-1, -2]], [[1, 26], [1, 38]], [[1, 2], [1, 62]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, 54]], [[-1, 22], [-1, 42]], [[-1, 10], [-1, -10]], [[1, 6], [1, 58]], [[-1, 30], [-1, 34]], [[-1, 26], [-1, 38]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[-1, 26], [-1, -26]], [[-1, 2], [-1, 62]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[-1, 6], [-1, 58]], [[1, 2], [1, -2]], [[1, 18], [1, 46]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 13], [-1, 51]], [[1, 1], [1, 63]], [[-1, 13], [-1, -13]], [[1, 31], [1, 33]], [[1, 23], [1, 41]], [[1, 31], [1, -31]], [[1, 21], [1, 43]], [[-1, 1], [-1, -1]], [[1, 13], [1, 51]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, 45]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 25], [1, -25]], [[-1, 17], [-1, 47]], [[1, 11], [1, -11]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, 55]], [[1, 17], [1, 47]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 29], [1, 35]], [[-1, 9], [-1, -9]], [[1, 7], [1, 57]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 11], [-1, 53]], [[-1, 29], [-1, -29]], [[1, 9], [1, 55]], [[1, 25], [1, 39]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, 33]], [[-1, 7], [-1, 57]], [[1, 15], [1, 49]], [[-1, 5], [-1, 59]], [[1, 23], [1, -23]], [[-1, 21], [-1, 43]], [[-1, 29], [-1, 35]], [[1, 27], [1, -27]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 23], [-1, 41]], [[-1, 27], [-1, 37]], [[1, 15], [1, -15]], [[1, 3], [1, 61]], [[1, 7], [1, -7]], [[-1, 15], [-1, 49]], [[1, 11], [1, 53]], [[-1, 3], [-1, 61]], [[1, 5], [1, 59]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 27], [1, 37]], [[1, 29], [1, -29]], [[-1, 25], [-1, 39]], [[-1, 1], [-1, 63]], [[1, 19], [1, 45]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]]]}
  • id: 7445290
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 91, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k21', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[-1, 12], [-1, -12]], [[1, 22], [1, 42]], [[1, 14], [1, 50]], [[1, 30], [1, 34]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, 50]], [[1, 10], [1, 54]], [[1, 2], [1, -2]], [[1, 26], [1, 38]], [[1, 2], [1, 62]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 10], [-1, 54]], [[-1, 22], [-1, 42]], [[1, 10], [1, -10]], [[1, 6], [1, 58]], [[-1, 30], [-1, 34]], [[-1, 26], [-1, 38]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[1, 26], [1, -26]], [[-1, 2], [-1, 62]], [[-1, 18], [-1, 46]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, -2]], [[1, 18], [1, 46]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[-1, 19], [-1, 45]], [[1, 31], [1, 33]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, 63]], [[-1, 9], [-1, 55]], [[-1, 1], [-1, -1]], [[1, 11], [1, 53]], [[-1, 31], [-1, -31]], [[1, 19], [1, 45]], [[1, 17], [1, -17]], [[1, 13], [1, 51]], [[1, 31], [1, -31]], [[1, 29], [1, -29]], [[1, 7], [1, -7]], [[-1, 15], [-1, 49]], [[-1, 21], [-1, -21]], [[1, 5], [1, -5]], [[-1, 23], [-1, 41]], [[1, 15], [1, 49]], [[1, 9], [1, -9]], [[1, 25], [1, -25]], [[1, 19], [1, -19]], [[1, 3], [1, 61]], [[-1, 23], [-1, -23]], [[-1, 25], [-1, 39]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[1, 27], [1, -27]], [[-1, 29], [-1, -29]], [[1, 21], [1, 43]], [[-1, 3], [-1, -3]], [[1, 23], [1, 41]], [[1, 7], [1, 57]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 1], [1, 63]], [[1, 25], [1, 39]], [[-1, 17], [-1, 47]], [[-1, 27], [-1, 37]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, 53]], [[-1, 3], [-1, 61]], [[-1, 5], [-1, -5]], [[-1, 27], [-1, -27]], [[1, 23], [1, -23]], [[1, 9], [1, 55]], [[1, 5], [1, 59]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, 35]], [[-1, 25], [-1, -25]], [[1, 17], [1, 47]], [[-1, 21], [-1, 43]], [[1, 29], [1, 35]], [[1, 27], [1, 37]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, 59]], [[1, 3], [1, -3]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, 33]], [[-1, 13], [-1, 51]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]]]}
  • id: 7445291
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  • id: 7445292
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 93, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k23', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[-1, 12], [-1, -12]], [[1, 22], [1, 42]], [[1, 14], [1, 50]], [[1, 30], [1, 34]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, 50]], [[1, 10], [1, 54]], [[1, 2], [1, -2]], [[1, 26], [1, 38]], [[1, 2], [1, 62]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 10], [-1, 54]], [[-1, 22], [-1, 42]], [[1, 10], [1, -10]], [[1, 6], [1, 58]], [[-1, 30], [-1, 34]], [[-1, 26], [-1, 38]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[1, 26], [1, -26]], [[-1, 2], [-1, 62]], [[-1, 18], [-1, 46]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, -2]], [[1, 18], [1, 46]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 19], [1, 45]], [[-1, 31], [-1, 33]], [[1, 19], [1, -19]], [[1, 1], [1, 63]], [[1, 9], [1, 55]], [[1, 1], [1, -1]], [[-1, 11], [-1, 53]], [[1, 31], [1, -31]], [[-1, 19], [-1, 45]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, 51]], [[-1, 31], [-1, -31]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, -7]], [[1, 15], [1, 49]], [[1, 21], [1, -21]], [[-1, 5], [-1, -5]], [[1, 23], [1, 41]], [[-1, 15], [-1, 49]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, 61]], [[1, 23], [1, -23]], [[1, 25], [1, 39]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[1, 29], [1, -29]], [[-1, 21], [-1, 43]], [[1, 3], [1, -3]], [[-1, 23], [-1, 41]], [[-1, 7], [-1, 57]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 1], [-1, 63]], [[-1, 25], [-1, 39]], [[1, 17], [1, 47]], [[1, 27], [1, 37]], [[1, 9], [1, -9]], [[1, 11], [1, 53]], [[1, 3], [1, 61]], [[1, 5], [1, -5]], [[1, 27], [1, -27]], [[-1, 23], [-1, -23]], [[-1, 9], [-1, 55]], [[-1, 5], [-1, 59]], [[1, 17], [1, -17]], [[1, 29], [1, 35]], [[1, 25], [1, -25]], [[-1, 17], [-1, 47]], [[1, 21], [1, 43]], [[-1, 29], [-1, 35]], [[-1, 27], [-1, 37]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, 59]], [[-1, 3], [-1, -3]], [[1, 7], [1, 57]], [[1, 31], [1, 33]], [[1, 13], [1, 51]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]]]}
  • id: 7445293
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 94, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k24', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[1, 12], [1, 52]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 12], [-1, -12]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, 50]], [[-1, 30], [-1, 34]], [[-1, 30], [-1, -30]], [[1, 14], [1, 50]], [[-1, 10], [-1, 54]], [[1, 2], [1, -2]], [[-1, 26], [-1, 38]], [[-1, 2], [-1, 62]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 10], [1, 54]], [[1, 22], [1, 42]], [[1, 10], [1, -10]], [[-1, 6], [-1, 58]], [[1, 30], [1, 34]], [[1, 26], [1, 38]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[1, 26], [1, -26]], [[1, 2], [1, 62]], [[1, 18], [1, 46]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[1, 6], [1, 58]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, 46]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[-1, 19], [-1, 45]], [[1, 31], [1, 33]], [[1, 19], [1, -19]], [[-1, 1], [-1, 63]], [[-1, 9], [-1, 55]], [[1, 1], [1, -1]], [[1, 11], [1, 53]], [[1, 31], [1, -31]], [[1, 19], [1, 45]], [[-1, 17], [-1, -17]], [[1, 13], [1, 51]], [[-1, 31], [-1, -31]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, 49]], [[1, 21], [1, -21]], [[-1, 5], [-1, -5]], [[-1, 23], [-1, 41]], [[1, 15], [1, 49]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[1, 3], [1, 61]], [[1, 23], [1, -23]], [[-1, 25], [-1, 39]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[1, 29], [1, -29]], [[1, 21], [1, 43]], [[1, 3], [1, -3]], [[1, 23], [1, 41]], [[1, 7], [1, 57]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 1], [1, 63]], [[1, 25], [1, 39]], [[-1, 17], [-1, 47]], [[-1, 27], [-1, 37]], [[1, 9], [1, -9]], [[-1, 11], [-1, 53]], [[-1, 3], [-1, 61]], [[1, 5], [1, -5]], [[1, 27], [1, -27]], [[-1, 23], [-1, -23]], [[1, 9], [1, 55]], [[1, 5], [1, 59]], [[1, 17], [1, -17]], [[-1, 29], [-1, 35]], [[1, 25], [1, -25]], [[1, 17], [1, 47]], [[-1, 21], [-1, 43]], [[1, 29], [1, 35]], [[1, 27], [1, 37]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 5], [-1, 59]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, 33]], [[-1, 13], [-1, 51]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]]]}
  • id: 7445294
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  • id: 7445295
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 96, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k26', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[1, 10], [1, 54]], [[1, 18], [1, 46]], [[1, 2], [1, 62]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, 42]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, 58]], [[-1, 30], [-1, 34]], [[-1, 26], [-1, -26]], [[1, 10], [1, -10]], [[1, 22], [1, 42]], [[-1, 10], [-1, 54]], [[-1, 22], [-1, -22]], [[1, 26], [1, 38]], [[-1, 2], [-1, 62]], [[1, 6], [1, 58]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, 34]], [[1, 14], [1, 50]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, 38]], [[1, 30], [1, -30]], [[-1, 14], [-1, 50]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 3], [1, 61]], [[1, 15], [1, 49]], [[-1, 3], [-1, -3]], [[-1, 17], [-1, 47]], [[-1, 25], [-1, 39]], [[1, 17], [1, -17]], [[1, 5], [1, 59]], [[1, 15], [1, -15]], [[-1, 3], [-1, 61]], [[1, 31], [1, -31]], [[-1, 29], [-1, 35]], [[-1, 15], [-1, -15]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, -9]], [[1, 1], [1, 63]], [[1, 27], [1, -27]], [[1, 21], [1, -21]], [[-1, 7], [-1, 57]], [[-1, 1], [-1, 63]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 13], [1, 51]], [[1, 7], [1, -7]], [[-1, 23], [-1, 41]], [[-1, 17], [-1, -17]], [[1, 9], [1, -9]], [[-1, 27], [-1, -27]], [[1, 11], [1, -11]], [[1, 19], [1, -19]], [[-1, 27], [-1, 37]], [[-1, 13], [-1, -13]], [[1, 7], [1, 57]], [[-1, 9], [-1, 55]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 17], [1, 47]], [[1, 23], [1, 41]], [[-1, 31], [-1, 33]], [[1, 11], [1, 53]], [[1, 25], [1, -25]], [[-1, 5], [-1, 59]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 25], [1, 39]], [[-1, 21], [-1, 43]], [[-1, 31], [-1, -31]], [[1, 19], [1, 45]], [[-1, 23], [-1, -23]], [[1, 31], [1, 33]], [[1, 27], [1, 37]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, 53]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 21], [1, 43]], [[1, 13], [1, -13]], [[1, 9], [1, 55]], [[-1, 15], [-1, 49]], [[1, 29], [1, 35]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]]]}
  • id: 7445296
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 97, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k27', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 12], [1, 52]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, 46]], [[-1, 2], [-1, 62]], [[-1, 2], [-1, -2]], [[1, 18], [1, 46]], [[1, 22], [1, 42]], [[-1, 30], [-1, -30]], [[1, 6], [1, 58]], [[1, 30], [1, 34]], [[-1, 26], [-1, -26]], [[1, 10], [1, -10]], [[-1, 22], [-1, 42]], [[1, 10], [1, 54]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, 38]], [[1, 2], [1, 62]], [[-1, 6], [-1, 58]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, 34]], [[-1, 14], [-1, 50]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 26], [1, 38]], [[1, 30], [1, -30]], [[1, 14], [1, 50]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[1, 3], [1, 61]], [[1, 15], [1, 49]], [[1, 3], [1, -3]], [[-1, 17], [-1, 47]], [[-1, 25], [-1, 39]], [[-1, 17], [-1, -17]], [[1, 5], [1, 59]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, 61]], [[-1, 31], [-1, -31]], [[-1, 29], [-1, 35]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[1, 1], [1, 63]], [[-1, 27], [-1, -27]], [[-1, 21], [-1, -21]], [[-1, 7], [-1, 57]], [[-1, 1], [-1, 63]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[1, 13], [1, 51]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, 41]], [[1, 17], [1, -17]], [[-1, 9], [-1, -9]], [[1, 27], [1, -27]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 27], [-1, 37]], [[1, 13], [1, -13]], [[1, 7], [1, 57]], [[-1, 9], [-1, 55]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 17], [1, 47]], [[1, 23], [1, 41]], [[-1, 31], [-1, 33]], [[1, 11], [1, 53]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, 59]], [[-1, 13], [-1, 51]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 25], [1, 39]], [[-1, 21], [-1, 43]], [[1, 31], [1, -31]], [[1, 19], [1, 45]], [[1, 23], [1, -23]], [[1, 31], [1, 33]], [[1, 27], [1, 37]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, 53]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 21], [1, 43]], [[-1, 13], [-1, -13]], [[1, 9], [1, 55]], [[-1, 15], [-1, 49]], [[1, 29], [1, 35]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]]]}
  • id: 7445297
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 98, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k28', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[1, 10], [1, 54]], [[1, 18], [1, 46]], [[1, 2], [1, 62]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, 42]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, 58]], [[-1, 30], [-1, 34]], [[-1, 26], [-1, -26]], [[1, 10], [1, -10]], [[1, 22], [1, 42]], [[-1, 10], [-1, 54]], [[-1, 22], [-1, -22]], [[1, 26], [1, 38]], [[-1, 2], [-1, 62]], [[1, 6], [1, 58]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, 34]], [[1, 14], [1, 50]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, 38]], [[1, 30], [1, -30]], [[-1, 14], [-1, 50]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 3], [-1, 61]], [[-1, 15], [-1, 49]], [[1, 3], [1, -3]], [[1, 17], [1, 47]], [[1, 25], [1, 39]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, 59]], [[-1, 15], [-1, -15]], [[1, 3], [1, 61]], [[-1, 31], [-1, -31]], [[1, 29], [1, 35]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[1, 9], [1, -9]], [[-1, 1], [-1, 63]], [[-1, 27], [-1, -27]], [[-1, 21], [-1, -21]], [[1, 7], [1, 57]], [[1, 1], [1, 63]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, 51]], [[-1, 7], [-1, -7]], [[1, 23], [1, 41]], [[1, 17], [1, -17]], [[-1, 9], [-1, -9]], [[1, 27], [1, -27]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[1, 27], [1, 37]], [[1, 13], [1, -13]], [[-1, 7], [-1, 57]], [[1, 9], [1, 55]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, 47]], [[-1, 23], [-1, 41]], [[1, 31], [1, 33]], [[-1, 11], [-1, 53]], [[-1, 25], [-1, -25]], [[1, 5], [1, 59]], [[1, 13], [1, 51]], [[1, 21], [1, -21]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 25], [-1, 39]], [[1, 21], [1, 43]], [[1, 31], [1, -31]], [[-1, 19], [-1, 45]], [[1, 23], [1, -23]], [[-1, 31], [-1, 33]], [[-1, 27], [-1, 37]], [[1, 19], [1, 45]], [[1, 11], [1, 53]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 21], [-1, 43]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, 55]], [[1, 15], [1, 49]], [[-1, 29], [-1, 35]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]]]}
  • id: 7445298
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 99, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k29', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 12], [1, 52]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[1, 10], [1, 54]], [[1, 18], [1, 46]], [[1, 2], [1, 62]], [[1, 2], [1, -2]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, 42]], [[1, 30], [1, -30]], [[-1, 6], [-1, 58]], [[-1, 30], [-1, 34]], [[1, 26], [1, -26]], [[-1, 10], [-1, -10]], [[1, 22], [1, 42]], [[-1, 10], [-1, 54]], [[1, 22], [1, -22]], [[1, 26], [1, 38]], [[-1, 2], [-1, 62]], [[1, 6], [1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, 34]], [[1, 14], [1, 50]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 26], [-1, 38]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 29], [-1, 35]], [[-1, 17], [-1, 47]], [[1, 29], [1, -29]], [[-1, 15], [-1, 49]], [[-1, 7], [-1, 57]], [[1, 15], [1, -15]], [[1, 27], [1, 37]], [[-1, 17], [-1, -17]], [[1, 29], [1, 35]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 61]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[-1, 23], [-1, -23]], [[1, 31], [1, 33]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 25], [1, 39]], [[-1, 31], [-1, 33]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 29], [-1, -29]], [[1, 19], [1, 45]], [[-1, 25], [-1, -25]], [[1, 9], [1, 55]], [[-1, 15], [-1, -15]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[1, 5], [1, 59]], [[-1, 19], [-1, -19]], [[-1, 25], [-1, 39]], [[-1, 23], [-1, 41]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 15], [1, 49]], [[-1, 9], [-1, 55]], [[1, 1], [1, 63]], [[-1, 21], [-1, 43]], [[1, 7], [1, -7]], [[-1, 27], [-1, 37]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, -11]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[1, 7], [1, 57]], [[-1, 11], [-1, 53]], [[1, 1], [1, -1]], [[-1, 13], [-1, 51]], [[1, 9], [1, -9]], [[-1, 1], [-1, 63]], [[-1, 5], [-1, 59]], [[1, 13], [1, 51]], [[1, 21], [1, 43]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 11], [1, 53]], [[1, 19], [1, -19]], [[1, 23], [1, 41]], [[1, 17], [1, 47]], [[1, 3], [1, 61]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 7445270
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k3', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 26], [-1, 38]], [[1, 30], [1, 34]], [[1, 18], [1, 46]], [[1, 18], [1, -18]], [[-1, 30], [-1, 34]], [[1, 6], [1, 58]], [[1, 14], [1, -14]], [[-1, 10], [-1, 54]], [[-1, 14], [-1, 50]], [[1, 22], [1, -22]], [[1, 26], [1, -26]], [[-1, 6], [-1, 58]], [[1, 26], [1, 38]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, 42]], [[-1, 18], [-1, 46]], [[1, 10], [1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 10], [-1, -10]], [[1, 14], [1, 50]], [[-1, 2], [-1, 62]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[1, 2], [1, 62]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 5], [1, 59]], [[1, 25], [1, 39]], [[-1, 5], [-1, -5]], [[1, 7], [1, 57]], [[1, 1], [1, 63]], [[-1, 7], [-1, -7]], [[1, 13], [1, 51]], [[1, 25], [1, -25]], [[-1, 5], [-1, 59]], [[1, 9], [1, -9]], [[1, 27], [1, 37]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, 41]], [[-1, 19], [-1, -19]], [[-1, 29], [-1, -29]], [[1, 31], [1, 33]], [[1, 23], [1, 41]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 21], [-1, 43]], [[1, 31], [1, -31]], [[1, 17], [1, 47]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 19], [-1, 45]], [[-1, 21], [-1, -21]], [[-1, 31], [-1, 33]], [[-1, 15], [-1, 49]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, 57]], [[-1, 17], [-1, 47]], [[-1, 9], [-1, 55]], [[1, 3], [1, 61]], [[1, 1], [1, -1]], [[-1, 13], [-1, 51]], [[1, 21], [1, 43]], [[1, 29], [1, -29]], [[1, 3], [1, -3]], [[-1, 31], [-1, -31]], [[-1, 1], [-1, 63]], [[-1, 29], [-1, 35]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, 53]], [[1, 17], [1, -17]], [[1, 9], [1, 55]], [[1, 19], [1, 45]], [[1, 11], [1, 53]], [[-1, 3], [-1, 61]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 29], [1, 35]], [[1, 21], [1, -21]], [[1, 15], [1, 49]], [[-1, 25], [-1, 39]], [[-1, 27], [-1, 37]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]]]}
  • id: 7445167
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 100, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k30', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, 46]], [[-1, 2], [-1, 62]], [[1, 2], [1, -2]], [[1, 18], [1, 46]], [[1, 22], [1, 42]], [[1, 30], [1, -30]], [[1, 6], [1, 58]], [[1, 30], [1, 34]], [[1, 26], [1, -26]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, 42]], [[1, 10], [1, 54]], [[1, 22], [1, -22]], [[-1, 26], [-1, 38]], [[1, 2], [1, 62]], [[-1, 6], [-1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, 34]], [[-1, 14], [-1, 50]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 26], [1, 38]], [[-1, 30], [-1, -30]], [[1, 14], [1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 29], [1, 35]], [[1, 17], [1, 47]], [[1, 29], [1, -29]], [[1, 15], [1, 49]], [[1, 7], [1, 57]], [[1, 15], [1, -15]], [[-1, 27], [-1, 37]], [[-1, 17], [-1, -17]], [[-1, 29], [-1, 35]], [[-1, 1], [-1, -1]], [[1, 3], [1, 61]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[-1, 23], [-1, -23]], [[-1, 31], [-1, 33]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 25], [-1, 39]], [[1, 31], [1, 33]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, 45]], [[-1, 25], [-1, -25]], [[-1, 9], [-1, 55]], [[-1, 15], [-1, -15]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, 59]], [[-1, 19], [-1, -19]], [[1, 25], [1, 39]], [[1, 23], [1, 41]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 15], [-1, 49]], [[1, 9], [1, 55]], [[-1, 1], [-1, 63]], [[1, 21], [1, 43]], [[1, 7], [1, -7]], [[1, 27], [1, 37]], [[1, 19], [1, 45]], [[-1, 11], [-1, -11]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[-1, 7], [-1, 57]], [[1, 11], [1, 53]], [[1, 1], [1, -1]], [[1, 13], [1, 51]], [[1, 9], [1, -9]], [[1, 1], [1, 63]], [[1, 5], [1, 59]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, 43]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 11], [-1, 53]], [[1, 19], [1, -19]], [[-1, 23], [-1, 41]], [[-1, 17], [-1, 47]], [[-1, 3], [-1, 61]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 7445168
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 101, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k31', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 12], [1, 52]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[1, 10], [1, 54]], [[1, 18], [1, 46]], [[1, 2], [1, 62]], [[1, 2], [1, -2]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, 42]], [[1, 30], [1, -30]], [[-1, 6], [-1, 58]], [[-1, 30], [-1, 34]], [[1, 26], [1, -26]], [[-1, 10], [-1, -10]], [[1, 22], [1, 42]], [[-1, 10], [-1, 54]], [[1, 22], [1, -22]], [[1, 26], [1, 38]], [[-1, 2], [-1, 62]], [[1, 6], [1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, 34]], [[1, 14], [1, 50]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 26], [-1, 38]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 29], [1, 35]], [[1, 17], [1, 47]], [[-1, 29], [-1, -29]], [[1, 15], [1, 49]], [[1, 7], [1, 57]], [[-1, 15], [-1, -15]], [[-1, 27], [-1, 37]], [[1, 17], [1, -17]], [[-1, 29], [-1, 35]], [[1, 1], [1, -1]], [[1, 3], [1, 61]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[1, 23], [1, -23]], [[-1, 31], [-1, 33]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 25], [-1, 39]], [[1, 31], [1, 33]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 29], [1, -29]], [[-1, 19], [-1, 45]], [[1, 25], [1, -25]], [[-1, 9], [-1, 55]], [[1, 15], [1, -15]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[-1, 5], [-1, 59]], [[1, 19], [1, -19]], [[1, 25], [1, 39]], [[1, 23], [1, 41]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, 49]], [[1, 9], [1, 55]], [[-1, 1], [-1, 63]], [[1, 21], [1, 43]], [[-1, 7], [-1, -7]], [[1, 27], [1, 37]], [[1, 19], [1, 45]], [[1, 11], [1, -11]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, 57]], [[1, 11], [1, 53]], [[-1, 1], [-1, -1]], [[1, 13], [1, 51]], [[-1, 9], [-1, -9]], [[1, 1], [1, 63]], [[1, 5], [1, 59]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, 43]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 11], [-1, 53]], [[-1, 19], [-1, -19]], [[-1, 23], [-1, 41]], [[-1, 17], [-1, 47]], [[-1, 3], [-1, 61]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 7445169
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 102, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k32', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 12], [1, -12]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, 46]], [[-1, 2], [-1, 62]], [[1, 2], [1, -2]], [[1, 18], [1, 46]], [[1, 22], [1, 42]], [[1, 30], [1, -30]], [[1, 6], [1, 58]], [[1, 30], [1, 34]], [[1, 26], [1, -26]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, 42]], [[1, 10], [1, 54]], [[1, 22], [1, -22]], [[-1, 26], [-1, 38]], [[1, 2], [1, 62]], [[-1, 6], [-1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, 34]], [[-1, 14], [-1, 50]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 26], [1, 38]], [[-1, 30], [-1, -30]], [[1, 14], [1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[-1, 29], [-1, 35]], [[-1, 17], [-1, 47]], [[-1, 29], [-1, -29]], [[-1, 15], [-1, 49]], [[-1, 7], [-1, 57]], [[-1, 15], [-1, -15]], [[1, 27], [1, 37]], [[1, 17], [1, -17]], [[1, 29], [1, 35]], [[1, 1], [1, -1]], [[-1, 3], [-1, 61]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[1, 23], [1, -23]], [[1, 31], [1, 33]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[1, 25], [1, 39]], [[-1, 31], [-1, 33]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 29], [1, -29]], [[1, 19], [1, 45]], [[1, 25], [1, -25]], [[1, 9], [1, 55]], [[1, 15], [1, -15]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[1, 13], [1, -13]], [[1, 5], [1, 59]], [[1, 19], [1, -19]], [[-1, 25], [-1, 39]], [[-1, 23], [-1, 41]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 15], [1, 49]], [[-1, 9], [-1, 55]], [[1, 1], [1, 63]], [[-1, 21], [-1, 43]], [[-1, 7], [-1, -7]], [[-1, 27], [-1, 37]], [[-1, 19], [-1, 45]], [[1, 11], [1, -11]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[1, 7], [1, 57]], [[-1, 11], [-1, 53]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, 51]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, 63]], [[-1, 5], [-1, 59]], [[1, 13], [1, 51]], [[1, 21], [1, 43]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 11], [1, 53]], [[-1, 19], [-1, -19]], [[1, 23], [1, 41]], [[1, 17], [1, 47]], [[1, 3], [1, 61]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 7445170
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 103, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k33', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, 54]], [[-1, 6], [-1, 58]], [[1, 6], [1, -6]], [[1, 10], [1, 54]], [[-1, 2], [-1, 62]], [[-1, 26], [-1, -26]], [[1, 18], [1, 46]], [[-1, 26], [-1, 38]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[1, 2], [1, 62]], [[1, 30], [1, 34]], [[-1, 2], [-1, -2]], [[1, 14], [1, 50]], [[1, 6], [1, 58]], [[-1, 18], [-1, 46]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 26], [1, 38]], [[-1, 22], [-1, 42]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[-1, 14], [-1, 50]], [[1, 26], [1, -26]], [[1, 22], [1, 42]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 23], [-1, 41]], [[1, 13], [1, 51]], [[-1, 23], [-1, -23]], [[1, 19], [1, 45]], [[1, 21], [1, 43]], [[-1, 19], [-1, -19]], [[1, 17], [1, 47]], [[1, 13], [1, -13]], [[1, 23], [1, 41]], [[-1, 3], [-1, -3]], [[1, 9], [1, 55]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[1, 5], [1, -5]], [[1, 29], [1, 35]], [[-1, 15], [-1, -15]], [[-1, 31], [-1, -31]], [[1, 11], [1, 53]], [[-1, 29], [-1, 35]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[1, 23], [1, -23]], [[-1, 7], [-1, 57]], [[1, 11], [1, -11]], [[-1, 27], [-1, 37]], [[1, 19], [1, -19]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[-1, 15], [-1, 49]], [[1, 7], [1, -7]], [[-1, 11], [-1, 53]], [[-1, 5], [-1, 59]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, 45]], [[1, 27], [1, 37]], [[-1, 3], [-1, 61]], [[1, 1], [1, 63]], [[1, 21], [1, -21]], [[-1, 17], [-1, 47]], [[1, 7], [1, 57]], [[1, 31], [1, -31]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 21], [-1, 43]], [[1, 31], [1, 33]], [[1, 3], [1, -3]], [[1, 25], [1, 39]], [[1, 27], [1, -27]], [[1, 3], [1, 61]], [[1, 15], [1, 49]], [[-1, 25], [-1, 39]], [[-1, 1], [-1, 63]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 31], [-1, 33]], [[-1, 7], [-1, -7]], [[1, 5], [1, 59]], [[-1, 13], [-1, 51]], [[-1, 9], [-1, 55]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]]]}
  • id: 7445171
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 104, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k34', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[1, 30], [1, 34]], [[1, 10], [1, 54]], [[1, 6], [1, 58]], [[1, 6], [1, -6]], [[-1, 10], [-1, 54]], [[1, 2], [1, 62]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, 46]], [[1, 26], [1, 38]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[-1, 2], [-1, 62]], [[-1, 30], [-1, 34]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, 50]], [[-1, 6], [-1, 58]], [[1, 18], [1, 46]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 26], [-1, 38]], [[1, 22], [1, 42]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[1, 14], [1, 50]], [[1, 26], [1, -26]], [[-1, 22], [-1, 42]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 23], [1, 41]], [[-1, 13], [-1, 51]], [[-1, 23], [-1, -23]], [[-1, 19], [-1, 45]], [[-1, 21], [-1, 43]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, 47]], [[1, 13], [1, -13]], [[-1, 23], [-1, 41]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, 55]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[1, 5], [1, -5]], [[-1, 29], [-1, 35]], [[-1, 15], [-1, -15]], [[-1, 31], [-1, -31]], [[-1, 11], [-1, 53]], [[1, 29], [1, 35]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[1, 23], [1, -23]], [[1, 7], [1, 57]], [[1, 11], [1, -11]], [[1, 27], [1, 37]], [[1, 19], [1, -19]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 25], [1, -25]], [[1, 15], [1, 49]], [[1, 7], [1, -7]], [[1, 11], [1, 53]], [[1, 5], [1, 59]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[1, 19], [1, 45]], [[-1, 27], [-1, 37]], [[1, 3], [1, 61]], [[-1, 1], [-1, 63]], [[1, 21], [1, -21]], [[1, 17], [1, 47]], [[-1, 7], [-1, 57]], [[1, 31], [1, -31]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[1, 21], [1, 43]], [[-1, 31], [-1, 33]], [[1, 3], [1, -3]], [[-1, 25], [-1, 39]], [[1, 27], [1, -27]], [[-1, 3], [-1, 61]], [[-1, 15], [-1, 49]], [[1, 25], [1, 39]], [[1, 1], [1, 63]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 31], [1, 33]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, 59]], [[1, 13], [1, 51]], [[1, 9], [1, 55]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]]]}
  • id: 7445172
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 105, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k35', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, 54]], [[-1, 6], [-1, 58]], [[1, 6], [1, -6]], [[1, 10], [1, 54]], [[-1, 2], [-1, 62]], [[-1, 26], [-1, -26]], [[1, 18], [1, 46]], [[-1, 26], [-1, 38]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[1, 2], [1, 62]], [[1, 30], [1, 34]], [[-1, 2], [-1, -2]], [[1, 14], [1, 50]], [[1, 6], [1, 58]], [[-1, 18], [-1, 46]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 26], [1, 38]], [[-1, 22], [-1, 42]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[-1, 14], [-1, 50]], [[1, 26], [1, -26]], [[1, 22], [1, 42]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 23], [1, 41]], [[-1, 13], [-1, 51]], [[1, 23], [1, -23]], [[-1, 19], [-1, 45]], [[-1, 21], [-1, 43]], [[1, 19], [1, -19]], [[-1, 17], [-1, 47]], [[-1, 13], [-1, -13]], [[-1, 23], [-1, 41]], [[1, 3], [1, -3]], [[-1, 9], [-1, 55]], [[1, 13], [1, -13]], [[1, 25], [1, -25]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, 35]], [[1, 15], [1, -15]], [[1, 31], [1, -31]], [[-1, 11], [-1, 53]], [[1, 29], [1, 35]], [[1, 21], [1, -21]], [[1, 27], [1, -27]], [[-1, 23], [-1, -23]], [[1, 7], [1, 57]], [[-1, 11], [-1, -11]], [[1, 27], [1, 37]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[1, 15], [1, 49]], [[-1, 7], [-1, -7]], [[1, 11], [1, 53]], [[1, 5], [1, 59]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[1, 19], [1, 45]], [[-1, 27], [-1, 37]], [[1, 3], [1, 61]], [[-1, 1], [-1, 63]], [[-1, 21], [-1, -21]], [[1, 17], [1, 47]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, -31]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[1, 21], [1, 43]], [[-1, 31], [-1, 33]], [[-1, 3], [-1, -3]], [[-1, 25], [-1, 39]], [[-1, 27], [-1, -27]], [[-1, 3], [-1, 61]], [[-1, 15], [-1, 49]], [[1, 25], [1, 39]], [[1, 1], [1, 63]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 31], [1, 33]], [[1, 7], [1, -7]], [[-1, 5], [-1, 59]], [[1, 13], [1, 51]], [[1, 9], [1, 55]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]]]}
  • id: 7445173
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 106, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k36', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[1, 30], [1, 34]], [[1, 10], [1, 54]], [[1, 6], [1, 58]], [[1, 6], [1, -6]], [[-1, 10], [-1, 54]], [[1, 2], [1, 62]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, 46]], [[1, 26], [1, 38]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[-1, 2], [-1, 62]], [[-1, 30], [-1, 34]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, 50]], [[-1, 6], [-1, 58]], [[1, 18], [1, 46]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 26], [-1, 38]], [[1, 22], [1, 42]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[1, 14], [1, 50]], [[1, 26], [1, -26]], [[-1, 22], [-1, 42]], [[1, 22], [1, -22]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 23], [-1, 41]], [[1, 13], [1, 51]], [[1, 23], [1, -23]], [[1, 19], [1, 45]], [[1, 21], [1, 43]], [[1, 19], [1, -19]], [[1, 17], [1, 47]], [[-1, 13], [-1, -13]], [[1, 23], [1, 41]], [[1, 3], [1, -3]], [[1, 9], [1, 55]], [[1, 13], [1, -13]], [[1, 25], [1, -25]], [[-1, 5], [-1, -5]], [[1, 29], [1, 35]], [[1, 15], [1, -15]], [[1, 31], [1, -31]], [[1, 11], [1, 53]], [[-1, 29], [-1, 35]], [[1, 21], [1, -21]], [[1, 27], [1, -27]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, 57]], [[-1, 11], [-1, -11]], [[-1, 27], [-1, 37]], [[-1, 19], [-1, -19]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, -25]], [[-1, 15], [-1, 49]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, 53]], [[-1, 5], [-1, 59]], [[-1, 29], [-1, -29]], [[1, 29], [1, -29]], [[-1, 19], [-1, 45]], [[1, 27], [1, 37]], [[-1, 3], [-1, 61]], [[1, 1], [1, 63]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, 47]], [[1, 7], [1, 57]], [[-1, 31], [-1, -31]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 21], [-1, 43]], [[1, 31], [1, 33]], [[-1, 3], [-1, -3]], [[1, 25], [1, 39]], [[-1, 27], [-1, -27]], [[1, 3], [1, 61]], [[1, 15], [1, 49]], [[-1, 25], [-1, 39]], [[-1, 1], [-1, 63]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, 33]], [[1, 7], [1, -7]], [[1, 5], [1, 59]], [[-1, 13], [-1, 51]], [[-1, 9], [-1, 55]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]]]}
  • id: 7445174
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 107, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k37', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[1, 30], [1, 34]], [[1, 10], [1, 54]], [[1, 6], [1, 58]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, 54]], [[1, 2], [1, 62]], [[1, 26], [1, -26]], [[-1, 18], [-1, 46]], [[1, 26], [1, 38]], [[1, 14], [1, -14]], [[1, 30], [1, -30]], [[-1, 2], [-1, 62]], [[-1, 30], [-1, 34]], [[1, 2], [1, -2]], [[-1, 14], [-1, 50]], [[-1, 6], [-1, 58]], [[1, 18], [1, 46]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, 38]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[1, 14], [1, 50]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 9], [-1, 55]], [[-1, 19], [-1, 45]], [[1, 9], [1, -9]], [[1, 13], [1, 51]], [[-1, 11], [-1, 53]], [[1, 13], [1, -13]], [[-1, 15], [-1, 49]], [[1, 19], [1, -19]], [[1, 9], [1, 55]], [[1, 29], [1, -29]], [[-1, 23], [-1, 41]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[1, 27], [1, -27]], [[-1, 3], [-1, 61]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[1, 21], [1, 43]], [[1, 3], [1, 61]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, 39]], [[-1, 21], [-1, -21]], [[-1, 5], [-1, 59]], [[-1, 13], [-1, -13]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, -17]], [[1, 31], [1, -31]], [[1, 7], [1, -7]], [[-1, 17], [-1, 47]], [[-1, 25], [-1, -25]], [[-1, 21], [-1, 43]], [[1, 27], [1, 37]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, 51]], [[1, 5], [1, 59]], [[-1, 29], [-1, 35]], [[-1, 31], [-1, 33]], [[1, 11], [1, -11]], [[1, 15], [1, 49]], [[1, 25], [1, 39]], [[-1, 1], [-1, -1]], [[-1, 31], [-1, -31]], [[1, 21], [1, -21]], [[1, 11], [1, 53]], [[1, 1], [1, 63]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, 57]], [[-1, 5], [-1, -5]], [[1, 29], [1, 35]], [[1, 17], [1, 47]], [[1, 7], [1, 57]], [[1, 31], [1, 33]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 1], [-1, 63]], [[1, 25], [1, -25]], [[-1, 27], [-1, 37]], [[1, 19], [1, 45]], [[1, 23], [1, 41]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]]]}
  • id: 7445175
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 108, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k38', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, 54]], [[-1, 6], [-1, 58]], [[-1, 6], [-1, -6]], [[1, 10], [1, 54]], [[-1, 2], [-1, 62]], [[1, 26], [1, -26]], [[1, 18], [1, 46]], [[-1, 26], [-1, 38]], [[1, 14], [1, -14]], [[1, 30], [1, -30]], [[1, 2], [1, 62]], [[1, 30], [1, 34]], [[1, 2], [1, -2]], [[1, 14], [1, 50]], [[1, 6], [1, 58]], [[-1, 18], [-1, 46]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 26], [1, 38]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, 50]], [[-1, 26], [-1, -26]], [[1, 22], [1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 9], [1, 55]], [[1, 19], [1, 45]], [[1, 9], [1, -9]], [[-1, 13], [-1, 51]], [[1, 11], [1, 53]], [[1, 13], [1, -13]], [[1, 15], [1, 49]], [[1, 19], [1, -19]], [[-1, 9], [-1, 55]], [[1, 29], [1, -29]], [[1, 23], [1, 41]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[1, 27], [1, -27]], [[1, 3], [1, 61]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[-1, 21], [-1, 43]], [[-1, 3], [-1, 61]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 25], [1, 39]], [[-1, 21], [-1, -21]], [[1, 5], [1, 59]], [[-1, 13], [-1, -13]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, -17]], [[1, 31], [1, -31]], [[1, 7], [1, -7]], [[1, 17], [1, 47]], [[-1, 25], [-1, -25]], [[1, 21], [1, 43]], [[-1, 27], [-1, 37]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 13], [1, 51]], [[-1, 5], [-1, 59]], [[1, 29], [1, 35]], [[1, 31], [1, 33]], [[1, 11], [1, -11]], [[-1, 15], [-1, 49]], [[-1, 25], [-1, 39]], [[-1, 1], [-1, -1]], [[-1, 31], [-1, -31]], [[1, 21], [1, -21]], [[-1, 11], [-1, 53]], [[-1, 1], [-1, 63]], [[-1, 29], [-1, -29]], [[1, 7], [1, 57]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, 35]], [[-1, 17], [-1, 47]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, 33]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 1], [1, 63]], [[1, 25], [1, -25]], [[1, 27], [1, 37]], [[-1, 19], [-1, 45]], [[-1, 23], [-1, 41]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]]]}
  • id: 7445176
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 109, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k39', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[1, 30], [1, 34]], [[1, 10], [1, 54]], [[1, 6], [1, 58]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, 54]], [[1, 2], [1, 62]], [[1, 26], [1, -26]], [[-1, 18], [-1, 46]], [[1, 26], [1, 38]], [[1, 14], [1, -14]], [[1, 30], [1, -30]], [[-1, 2], [-1, 62]], [[-1, 30], [-1, 34]], [[1, 2], [1, -2]], [[-1, 14], [-1, 50]], [[-1, 6], [-1, 58]], [[1, 18], [1, 46]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, 38]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[1, 14], [1, 50]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 9], [1, 55]], [[1, 19], [1, 45]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, 51]], [[1, 11], [1, 53]], [[-1, 13], [-1, -13]], [[1, 15], [1, 49]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, 55]], [[-1, 29], [-1, -29]], [[1, 23], [1, 41]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[-1, 27], [-1, -27]], [[1, 3], [1, 61]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[-1, 21], [-1, 43]], [[-1, 3], [-1, 61]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 25], [1, 39]], [[1, 21], [1, -21]], [[1, 5], [1, 59]], [[1, 13], [1, -13]], [[1, 27], [1, -27]], [[1, 17], [1, -17]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, -7]], [[1, 17], [1, 47]], [[1, 25], [1, -25]], [[1, 21], [1, 43]], [[-1, 27], [-1, 37]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 13], [1, 51]], [[-1, 5], [-1, 59]], [[1, 29], [1, 35]], [[1, 31], [1, 33]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, 49]], [[-1, 25], [-1, 39]], [[1, 1], [1, -1]], [[1, 31], [1, -31]], [[-1, 21], [-1, -21]], [[-1, 11], [-1, 53]], [[-1, 1], [-1, 63]], [[1, 29], [1, -29]], [[1, 7], [1, 57]], [[1, 5], [1, -5]], [[-1, 29], [-1, 35]], [[-1, 17], [-1, 47]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, 33]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 1], [1, 63]], [[-1, 25], [-1, -25]], [[1, 27], [1, 37]], [[-1, 19], [-1, 45]], [[-1, 23], [-1, 41]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]]]}
  • id: 7445271
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k4', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[1, 26], [1, 38]], [[-1, 30], [-1, 34]], [[-1, 18], [-1, 46]], [[1, 18], [1, -18]], [[1, 30], [1, 34]], [[-1, 6], [-1, 58]], [[1, 14], [1, -14]], [[1, 10], [1, 54]], [[1, 14], [1, 50]], [[1, 22], [1, -22]], [[1, 26], [1, -26]], [[1, 6], [1, 58]], [[-1, 26], [-1, 38]], [[-1, 6], [-1, -6]], [[1, 22], [1, 42]], [[1, 18], [1, 46]], [[-1, 10], [-1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, 50]], [[1, 2], [1, 62]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, 62]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 5], [-1, 59]], [[-1, 25], [-1, 39]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, 57]], [[-1, 1], [-1, 63]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, 51]], [[1, 25], [1, -25]], [[1, 5], [1, 59]], [[1, 9], [1, -9]], [[-1, 27], [-1, 37]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[1, 23], [1, 41]], [[-1, 19], [-1, -19]], [[-1, 29], [-1, -29]], [[-1, 31], [-1, 33]], [[-1, 23], [-1, 41]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[1, 21], [1, 43]], [[1, 31], [1, -31]], [[-1, 17], [-1, 47]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[1, 19], [1, -19]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 19], [1, 45]], [[-1, 21], [-1, -21]], [[1, 31], [1, 33]], [[1, 15], [1, 49]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 7], [1, 57]], [[1, 17], [1, 47]], [[1, 9], [1, 55]], [[-1, 3], [-1, 61]], [[1, 1], [1, -1]], [[1, 13], [1, 51]], [[-1, 21], [-1, 43]], [[1, 29], [1, -29]], [[1, 3], [1, -3]], [[-1, 31], [-1, -31]], [[1, 1], [1, 63]], [[1, 29], [1, 35]], [[-1, 9], [-1, -9]], [[1, 11], [1, 53]], [[1, 17], [1, -17]], [[-1, 9], [-1, 55]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, 53]], [[1, 3], [1, 61]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 29], [-1, 35]], [[1, 21], [1, -21]], [[-1, 15], [-1, 49]], [[1, 25], [1, 39]], [[1, 27], [1, 37]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]]]}
  • id: 7445178
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 110, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k40', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[1, 20], [1, -20]], [[-1, 28], [-1, -28]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, 54]], [[-1, 6], [-1, 58]], [[-1, 6], [-1, -6]], [[1, 10], [1, 54]], [[-1, 2], [-1, 62]], [[1, 26], [1, -26]], [[1, 18], [1, 46]], [[-1, 26], [-1, 38]], [[1, 14], [1, -14]], [[1, 30], [1, -30]], [[1, 2], [1, 62]], [[1, 30], [1, 34]], [[1, 2], [1, -2]], [[1, 14], [1, 50]], [[1, 6], [1, 58]], [[-1, 18], [-1, 46]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 26], [1, 38]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 14], [-1, 50]], [[-1, 26], [-1, -26]], [[1, 22], [1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 9], [-1, 55]], [[-1, 19], [-1, 45]], [[-1, 9], [-1, -9]], [[1, 13], [1, 51]], [[-1, 11], [-1, 53]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, 49]], [[-1, 19], [-1, -19]], [[1, 9], [1, 55]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, 41]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[-1, 27], [-1, -27]], [[-1, 3], [-1, 61]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[1, 21], [1, 43]], [[1, 3], [1, 61]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 25], [-1, 39]], [[1, 21], [1, -21]], [[-1, 5], [-1, 59]], [[1, 13], [1, -13]], [[1, 27], [1, -27]], [[1, 17], [1, -17]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, 47]], [[1, 25], [1, -25]], [[-1, 21], [-1, 43]], [[1, 27], [1, 37]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 13], [-1, 51]], [[1, 5], [1, 59]], [[-1, 29], [-1, 35]], [[-1, 31], [-1, 33]], [[-1, 11], [-1, -11]], [[1, 15], [1, 49]], [[1, 25], [1, 39]], [[1, 1], [1, -1]], [[1, 31], [1, -31]], [[-1, 21], [-1, -21]], [[1, 11], [1, 53]], [[1, 1], [1, 63]], [[1, 29], [1, -29]], [[-1, 7], [-1, 57]], [[1, 5], [1, -5]], [[1, 29], [1, 35]], [[1, 17], [1, 47]], [[1, 7], [1, 57]], [[1, 31], [1, 33]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, 63]], [[-1, 25], [-1, -25]], [[-1, 27], [-1, 37]], [[1, 19], [1, 45]], [[1, 23], [1, 41]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]]]}
  • id: 7445179
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 111, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k41', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[-1, 2], [-1, 62]], [[1, 22], [1, 42]], [[-1, 26], [-1, 38]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, 42]], [[1, 30], [1, 34]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, 50]], [[1, 6], [1, 58]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 30], [-1, 34]], [[1, 2], [1, 62]], [[-1, 30], [-1, -30]], [[1, 18], [1, 46]], [[1, 26], [1, 38]], [[1, 14], [1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[-1, 6], [-1, 58]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, 46]], [[1, 6], [1, -6]], [[1, 10], [1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[-1, 25], [-1, 39]], [[1, 3], [1, 61]], [[1, 25], [1, -25]], [[-1, 29], [-1, 35]], [[-1, 5], [-1, 59]], [[-1, 29], [-1, -29]], [[1, 1], [1, 63]], [[-1, 3], [-1, -3]], [[1, 25], [1, 39]], [[1, 19], [1, -19]], [[-1, 7], [-1, 57]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, 51]], [[-1, 31], [-1, -31]], [[1, 17], [1, -17]], [[-1, 27], [-1, 37]], [[1, 13], [1, 51]], [[1, 5], [1, -5]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, 41]], [[-1, 27], [-1, -27]], [[1, 21], [1, 43]], [[1, 29], [1, -29]], [[1, 11], [1, -11]], [[1, 31], [1, -31]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 31], [-1, 33]], [[1, 23], [1, -23]], [[1, 27], [1, 37]], [[-1, 11], [-1, 53]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 29], [1, 35]], [[-1, 21], [-1, 43]], [[1, 19], [1, 45]], [[-1, 15], [-1, 49]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, 63]], [[1, 23], [1, 41]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[1, 27], [1, -27]], [[1, 5], [1, 59]], [[1, 17], [1, 47]], [[-1, 19], [-1, -19]], [[1, 9], [1, 55]], [[1, 21], [1, -21]], [[-1, 19], [-1, 45]], [[1, 31], [1, 33]], [[-1, 9], [-1, 55]], [[1, 15], [1, 49]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 17], [-1, 47]], [[-1, 23], [-1, -23]], [[1, 11], [1, 53]], [[-1, 3], [-1, 61]], [[1, 7], [1, 57]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]]]}
  • id: 7445180
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 112, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k42', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[1, 2], [1, 62]], [[-1, 22], [-1, 42]], [[1, 26], [1, 38]], [[-1, 26], [-1, -26]], [[1, 22], [1, 42]], [[-1, 30], [-1, 34]], [[-1, 6], [-1, -6]], [[1, 14], [1, 50]], [[-1, 6], [-1, 58]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 30], [1, 34]], [[-1, 2], [-1, 62]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, 46]], [[-1, 26], [-1, 38]], [[-1, 14], [-1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 6], [1, 58]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 18], [1, 46]], [[1, 6], [1, -6]], [[-1, 10], [-1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[1, 25], [1, 39]], [[-1, 3], [-1, 61]], [[1, 25], [1, -25]], [[1, 29], [1, 35]], [[1, 5], [1, 59]], [[-1, 29], [-1, -29]], [[-1, 1], [-1, 63]], [[-1, 3], [-1, -3]], [[-1, 25], [-1, 39]], [[1, 19], [1, -19]], [[1, 7], [1, 57]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 13], [1, 51]], [[-1, 31], [-1, -31]], [[1, 17], [1, -17]], [[1, 27], [1, 37]], [[-1, 13], [-1, 51]], [[1, 5], [1, -5]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, -25]], [[1, 23], [1, 41]], [[-1, 27], [-1, -27]], [[-1, 21], [-1, 43]], [[1, 29], [1, -29]], [[1, 11], [1, -11]], [[1, 31], [1, -31]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 31], [1, 33]], [[1, 23], [1, -23]], [[-1, 27], [-1, 37]], [[1, 11], [1, 53]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 29], [-1, 35]], [[1, 21], [1, 43]], [[-1, 19], [-1, 45]], [[1, 15], [1, 49]], [[-1, 5], [-1, -5]], [[1, 1], [1, 63]], [[-1, 23], [-1, 41]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[1, 27], [1, -27]], [[-1, 5], [-1, 59]], [[-1, 17], [-1, 47]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, 55]], [[1, 21], [1, -21]], [[1, 19], [1, 45]], [[-1, 31], [-1, 33]], [[1, 9], [1, 55]], [[-1, 15], [-1, 49]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 17], [1, 47]], [[-1, 23], [-1, -23]], [[-1, 11], [-1, 53]], [[1, 3], [1, 61]], [[-1, 7], [-1, 57]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]]]}
  • id: 7445181
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 113, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k43', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[-1, 2], [-1, 62]], [[1, 22], [1, 42]], [[-1, 26], [-1, 38]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, 42]], [[1, 30], [1, 34]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, 50]], [[1, 6], [1, 58]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 30], [-1, 34]], [[1, 2], [1, 62]], [[-1, 30], [-1, -30]], [[1, 18], [1, 46]], [[1, 26], [1, 38]], [[1, 14], [1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[-1, 6], [-1, 58]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, 46]], [[1, 6], [1, -6]], [[1, 10], [1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[1, 25], [1, 39]], [[-1, 3], [-1, 61]], [[-1, 25], [-1, -25]], [[1, 29], [1, 35]], [[1, 5], [1, 59]], [[1, 29], [1, -29]], [[-1, 1], [-1, 63]], [[1, 3], [1, -3]], [[-1, 25], [-1, 39]], [[-1, 19], [-1, -19]], [[1, 7], [1, 57]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, 51]], [[1, 31], [1, -31]], [[-1, 17], [-1, -17]], [[1, 27], [1, 37]], [[-1, 13], [-1, 51]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[1, 23], [1, 41]], [[1, 27], [1, -27]], [[-1, 21], [-1, 43]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 31], [1, 33]], [[-1, 23], [-1, -23]], [[-1, 27], [-1, 37]], [[1, 11], [1, 53]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 29], [-1, 35]], [[1, 21], [1, 43]], [[-1, 19], [-1, 45]], [[1, 15], [1, 49]], [[1, 5], [1, -5]], [[1, 1], [1, 63]], [[-1, 23], [-1, 41]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[-1, 27], [-1, -27]], [[-1, 5], [-1, 59]], [[-1, 17], [-1, 47]], [[1, 19], [1, -19]], [[-1, 9], [-1, 55]], [[-1, 21], [-1, -21]], [[1, 19], [1, 45]], [[-1, 31], [-1, 33]], [[1, 9], [1, 55]], [[-1, 15], [-1, 49]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 17], [1, 47]], [[1, 23], [1, -23]], [[-1, 11], [-1, 53]], [[1, 3], [1, 61]], [[-1, 7], [-1, 57]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]]]}
  • id: 7445182
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 114, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k44', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[1, 2], [1, 62]], [[-1, 22], [-1, 42]], [[1, 26], [1, 38]], [[-1, 26], [-1, -26]], [[1, 22], [1, 42]], [[-1, 30], [-1, 34]], [[-1, 6], [-1, -6]], [[1, 14], [1, 50]], [[-1, 6], [-1, 58]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 30], [1, 34]], [[-1, 2], [-1, 62]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, 46]], [[-1, 26], [-1, 38]], [[-1, 14], [-1, 50]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 14], [1, -14]], [[1, 6], [1, 58]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[1, 22], [1, -22]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 18], [1, 46]], [[1, 6], [1, -6]], [[-1, 10], [-1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[-1, 25], [-1, 39]], [[1, 3], [1, 61]], [[-1, 25], [-1, -25]], [[-1, 29], [-1, 35]], [[-1, 5], [-1, 59]], [[1, 29], [1, -29]], [[1, 1], [1, 63]], [[1, 3], [1, -3]], [[1, 25], [1, 39]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, 57]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 13], [-1, 51]], [[1, 31], [1, -31]], [[-1, 17], [-1, -17]], [[-1, 27], [-1, 37]], [[1, 13], [1, 51]], [[-1, 5], [-1, -5]], [[1, 21], [1, -21]], [[1, 25], [1, -25]], [[-1, 23], [-1, 41]], [[1, 27], [1, -27]], [[1, 21], [1, 43]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 31], [-1, 33]], [[-1, 23], [-1, -23]], [[1, 27], [1, 37]], [[-1, 11], [-1, 53]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 29], [1, 35]], [[-1, 21], [-1, 43]], [[1, 19], [1, 45]], [[-1, 15], [-1, 49]], [[1, 5], [1, -5]], [[-1, 1], [-1, 63]], [[1, 23], [1, 41]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[-1, 27], [-1, -27]], [[1, 5], [1, 59]], [[1, 17], [1, 47]], [[1, 19], [1, -19]], [[1, 9], [1, 55]], [[-1, 21], [-1, -21]], [[-1, 19], [-1, 45]], [[1, 31], [1, 33]], [[-1, 9], [-1, 55]], [[1, 15], [1, 49]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, 47]], [[1, 23], [1, -23]], [[1, 11], [1, 53]], [[-1, 3], [-1, 61]], [[1, 7], [1, 57]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]]]}
  • id: 7445183
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 115, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k45', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[1, 2], [1, 62]], [[-1, 22], [-1, 42]], [[1, 26], [1, 38]], [[1, 26], [1, -26]], [[1, 22], [1, 42]], [[-1, 30], [-1, 34]], [[1, 6], [1, -6]], [[1, 14], [1, 50]], [[-1, 6], [-1, 58]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 30], [1, 34]], [[-1, 2], [-1, 62]], [[1, 30], [1, -30]], [[-1, 18], [-1, 46]], [[-1, 26], [-1, 38]], [[-1, 14], [-1, 50]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[1, 6], [1, 58]], [[1, 10], [1, 54]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, 46]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[-1, 7], [-1, 57]], [[-1, 29], [-1, 35]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, 61]], [[-1, 27], [-1, 37]], [[1, 3], [1, -3]], [[1, 31], [1, 33]], [[-1, 29], [-1, -29]], [[1, 7], [1, 57]], [[1, 13], [1, -13]], [[1, 25], [1, 39]], [[1, 29], [1, -29]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[-1, 19], [-1, 45]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 5], [1, 59]], [[1, 19], [1, 45]], [[-1, 27], [-1, -27]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 9], [1, 55]], [[-1, 5], [-1, -5]], [[1, 11], [1, 53]], [[-1, 3], [-1, -3]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[-1, 23], [-1, -23]], [[1, 1], [1, 63]], [[1, 9], [1, -9]], [[-1, 5], [-1, 59]], [[1, 21], [1, 43]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 3], [1, 61]], [[-1, 11], [-1, 53]], [[-1, 13], [-1, 51]], [[1, 17], [1, 47]], [[1, 27], [1, -27]], [[-1, 31], [-1, 33]], [[-1, 9], [-1, 55]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[1, 27], [1, 37]], [[1, 15], [1, 49]], [[-1, 13], [-1, -13]], [[1, 23], [1, 41]], [[-1, 11], [-1, -11]], [[1, 13], [1, 51]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, 41]], [[-1, 17], [-1, 47]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, 49]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, 43]], [[1, 29], [1, 35]], [[-1, 25], [-1, 39]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]]]}
  • id: 7445184
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 116, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k46', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[-1, 2], [-1, 62]], [[1, 22], [1, 42]], [[-1, 26], [-1, 38]], [[1, 26], [1, -26]], [[-1, 22], [-1, 42]], [[1, 30], [1, 34]], [[1, 6], [1, -6]], [[-1, 14], [-1, 50]], [[1, 6], [1, 58]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 30], [-1, 34]], [[1, 2], [1, 62]], [[1, 30], [1, -30]], [[1, 18], [1, 46]], [[1, 26], [1, 38]], [[1, 14], [1, 50]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, 58]], [[-1, 10], [-1, 54]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, -6]], [[1, 10], [1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[1, 7], [1, 57]], [[1, 29], [1, 35]], [[-1, 7], [-1, -7]], [[1, 3], [1, 61]], [[1, 27], [1, 37]], [[1, 3], [1, -3]], [[-1, 31], [-1, 33]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, 57]], [[1, 13], [1, -13]], [[-1, 25], [-1, 39]], [[1, 29], [1, -29]], [[1, 23], [1, -23]], [[-1, 21], [-1, -21]], [[1, 19], [1, 45]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, 59]], [[-1, 19], [-1, 45]], [[-1, 27], [-1, -27]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 9], [-1, 55]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, 53]], [[-1, 3], [-1, -3]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[-1, 23], [-1, -23]], [[-1, 1], [-1, 63]], [[1, 9], [1, -9]], [[1, 5], [1, 59]], [[-1, 21], [-1, 43]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, 61]], [[1, 11], [1, 53]], [[1, 13], [1, 51]], [[-1, 17], [-1, 47]], [[1, 27], [1, -27]], [[1, 31], [1, 33]], [[1, 9], [1, 55]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 27], [-1, 37]], [[-1, 15], [-1, 49]], [[-1, 13], [-1, -13]], [[-1, 23], [-1, 41]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, 51]], [[1, 1], [1, 63]], [[1, 23], [1, 41]], [[1, 17], [1, 47]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]], [[1, 15], [1, 49]], [[-1, 9], [-1, -9]], [[1, 21], [1, 43]], [[-1, 29], [-1, 35]], [[1, 25], [1, 39]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]]]}
  • id: 7445185
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 117, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k47', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 28], [1, 36]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[1, 2], [1, 62]], [[-1, 22], [-1, 42]], [[1, 26], [1, 38]], [[1, 26], [1, -26]], [[1, 22], [1, 42]], [[-1, 30], [-1, 34]], [[1, 6], [1, -6]], [[1, 14], [1, 50]], [[-1, 6], [-1, 58]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 30], [1, 34]], [[-1, 2], [-1, 62]], [[1, 30], [1, -30]], [[-1, 18], [-1, 46]], [[-1, 26], [-1, 38]], [[-1, 14], [-1, 50]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[1, 6], [1, 58]], [[1, 10], [1, 54]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 18], [1, 46]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[1, 7], [1, 57]], [[1, 29], [1, 35]], [[1, 7], [1, -7]], [[1, 3], [1, 61]], [[1, 27], [1, 37]], [[-1, 3], [-1, -3]], [[-1, 31], [-1, 33]], [[1, 29], [1, -29]], [[-1, 7], [-1, 57]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, 39]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[1, 19], [1, 45]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 5], [-1, 59]], [[-1, 19], [-1, 45]], [[1, 27], [1, -27]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, 55]], [[1, 5], [1, -5]], [[-1, 11], [-1, 53]], [[1, 3], [1, -3]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[1, 23], [1, -23]], [[-1, 1], [-1, 63]], [[-1, 9], [-1, -9]], [[1, 5], [1, 59]], [[-1, 21], [-1, 43]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 3], [-1, 61]], [[1, 11], [1, 53]], [[1, 13], [1, 51]], [[-1, 17], [-1, 47]], [[-1, 27], [-1, -27]], [[1, 31], [1, 33]], [[1, 9], [1, 55]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[-1, 27], [-1, 37]], [[-1, 15], [-1, 49]], [[1, 13], [1, -13]], [[-1, 23], [-1, 41]], [[1, 11], [1, -11]], [[-1, 13], [-1, 51]], [[1, 1], [1, 63]], [[1, 23], [1, 41]], [[1, 17], [1, 47]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[1, 15], [1, 49]], [[1, 9], [1, -9]], [[1, 21], [1, 43]], [[-1, 29], [-1, 35]], [[1, 25], [1, 39]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]]]}
  • id: 7445186
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 118, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k48', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, 36]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 28], [1, -28]], [[-1, 2], [-1, 62]], [[1, 22], [1, 42]], [[-1, 26], [-1, 38]], [[1, 26], [1, -26]], [[-1, 22], [-1, 42]], [[1, 30], [1, 34]], [[1, 6], [1, -6]], [[-1, 14], [-1, 50]], [[1, 6], [1, 58]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 30], [-1, 34]], [[1, 2], [1, 62]], [[1, 30], [1, -30]], [[1, 18], [1, 46]], [[1, 26], [1, 38]], [[1, 14], [1, 50]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, 58]], [[-1, 10], [-1, 54]], [[1, 18], [1, -18]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, -6]], [[1, 10], [1, 54]], [[1, 10], [1, -10]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[-1, 7], [-1, 57]], [[-1, 29], [-1, 35]], [[1, 7], [1, -7]], [[-1, 3], [-1, 61]], [[-1, 27], [-1, 37]], [[-1, 3], [-1, -3]], [[1, 31], [1, 33]], [[1, 29], [1, -29]], [[1, 7], [1, 57]], [[-1, 13], [-1, -13]], [[1, 25], [1, 39]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, -23]], [[1, 21], [1, -21]], [[-1, 19], [-1, 45]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 5], [1, 59]], [[1, 19], [1, 45]], [[1, 27], [1, -27]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 9], [1, 55]], [[1, 5], [1, -5]], [[1, 11], [1, 53]], [[1, 3], [1, -3]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[1, 23], [1, -23]], [[1, 1], [1, 63]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, 59]], [[1, 21], [1, 43]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 3], [1, 61]], [[-1, 11], [-1, 53]], [[-1, 13], [-1, 51]], [[1, 17], [1, 47]], [[-1, 27], [-1, -27]], [[-1, 31], [-1, 33]], [[-1, 9], [-1, 55]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 27], [1, 37]], [[1, 15], [1, 49]], [[1, 13], [1, -13]], [[1, 23], [1, 41]], [[1, 11], [1, -11]], [[1, 13], [1, 51]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, 41]], [[-1, 17], [-1, 47]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]], [[-1, 15], [-1, 49]], [[1, 9], [1, -9]], [[-1, 21], [-1, 43]], [[1, 29], [1, 35]], [[-1, 25], [-1, 39]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]]]}
  • id: 7445187
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 119, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k49', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, 58]], [[1, 22], [1, 42]], [[-1, 22], [-1, -22]], [[1, 6], [1, 58]], [[1, 14], [1, 50]], [[1, 10], [1, -10]], [[1, 2], [1, 62]], [[1, 10], [1, 54]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 14], [-1, 50]], [[1, 18], [1, 46]], [[-1, 14], [-1, -14]], [[1, 30], [1, 34]], [[-1, 22], [-1, 42]], [[-1, 2], [-1, 62]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, 54]], [[1, 26], [1, 38]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, 38]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[-1, 31], [-1, 33]], [[-1, 27], [-1, 37]], [[-1, 31], [-1, -31]], [[1, 5], [1, 59]], [[1, 19], [1, 45]], [[1, 5], [1, -5]], [[-1, 9], [-1, 55]], [[1, 27], [1, -27]], [[1, 31], [1, 33]], [[1, 21], [1, -21]], [[1, 1], [1, 63]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, -17]], [[1, 29], [1, -29]], [[-1, 11], [-1, 53]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[-1, 13], [-1, 51]], [[1, 11], [1, 53]], [[1, 19], [1, -19]], [[-1, 3], [-1, -3]], [[1, 31], [1, -31]], [[-1, 15], [-1, 49]], [[1, 13], [1, -13]], [[-1, 3], [-1, 61]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[1, 23], [1, 41]], [[1, 15], [1, -15]], [[1, 13], [1, 51]], [[-1, 29], [-1, 35]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, 59]], [[1, 3], [1, 61]], [[-1, 21], [-1, 43]], [[1, 7], [1, 57]], [[-1, 19], [-1, -19]], [[1, 9], [1, 55]], [[1, 15], [1, 49]], [[1, 25], [1, -25]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, 45]], [[-1, 25], [-1, 39]], [[-1, 21], [-1, -21]], [[1, 17], [1, 47]], [[1, 3], [1, -3]], [[1, 21], [1, 43]], [[-1, 23], [-1, 41]], [[-1, 17], [-1, 47]], [[-1, 7], [-1, 57]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 25], [1, 39]], [[-1, 15], [-1, -15]], [[1, 29], [1, 35]], [[1, 27], [1, 37]], [[-1, 1], [-1, 63]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445272
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k5', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[1, 26], [1, 38]], [[-1, 30], [-1, 34]], [[-1, 18], [-1, 46]], [[-1, 18], [-1, -18]], [[1, 30], [1, 34]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, -14]], [[1, 10], [1, 54]], [[1, 14], [1, 50]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[1, 6], [1, 58]], [[-1, 26], [-1, 38]], [[1, 6], [1, -6]], [[1, 22], [1, 42]], [[1, 18], [1, 46]], [[-1, 10], [-1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 10], [1, -10]], [[-1, 14], [-1, 50]], [[1, 2], [1, 62]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[-1, 22], [-1, 42]], [[1, 14], [1, -14]], [[-1, 2], [-1, 62]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 27], [-1, 37]], [[-1, 7], [-1, 57]], [[-1, 27], [-1, -27]], [[1, 25], [1, 39]], [[-1, 31], [-1, 33]], [[1, 25], [1, -25]], [[-1, 19], [-1, 45]], [[1, 7], [1, -7]], [[1, 27], [1, 37]], [[1, 23], [1, -23]], [[1, 5], [1, 59]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[-1, 9], [-1, 55]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[1, 1], [1, 63]], [[1, 9], [1, 55]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, -15]], [[1, 27], [1, -27]], [[1, 11], [1, 53]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, 49]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[1, 29], [1, -29]], [[-1, 21], [-1, -21]], [[-1, 13], [-1, 51]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, 63]], [[-1, 17], [-1, 47]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 25], [-1, 39]], [[1, 15], [1, 49]], [[1, 23], [1, 41]], [[1, 29], [1, 35]], [[1, 31], [1, -31]], [[1, 19], [1, 45]], [[-1, 11], [-1, 53]], [[1, 3], [1, -3]], [[-1, 29], [-1, -29]], [[1, 1], [1, -1]], [[1, 31], [1, 33]], [[1, 3], [1, 61]], [[-1, 23], [-1, -23]], [[-1, 21], [-1, 43]], [[1, 15], [1, -15]], [[-1, 23], [-1, 41]], [[1, 13], [1, 51]], [[1, 21], [1, 43]], [[-1, 29], [-1, 35]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[-1, 3], [-1, 61]], [[1, 11], [1, -11]], [[1, 17], [1, 47]], [[1, 7], [1, 57]], [[-1, 5], [-1, 59]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 7445189
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 120, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k50', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[1, 4], [1, 60]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 18], [1, 46]], [[1, 6], [1, 58]], [[-1, 22], [-1, 42]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, 50]], [[1, 10], [1, -10]], [[-1, 2], [-1, 62]], [[-1, 10], [-1, 54]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[1, 14], [1, 50]], [[-1, 18], [-1, 46]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, 34]], [[1, 22], [1, 42]], [[1, 2], [1, 62]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, 54]], [[-1, 26], [-1, 38]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[1, 30], [1, 34]], [[-1, 10], [-1, -10]], [[1, 26], [1, 38]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 31], [1, 33]], [[1, 27], [1, 37]], [[-1, 31], [-1, -31]], [[-1, 5], [-1, 59]], [[-1, 19], [-1, 45]], [[1, 5], [1, -5]], [[1, 9], [1, 55]], [[1, 27], [1, -27]], [[-1, 31], [-1, 33]], [[1, 21], [1, -21]], [[-1, 1], [-1, 63]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, -17]], [[1, 29], [1, -29]], [[1, 11], [1, 53]], [[1, 23], [1, -23]], [[-1, 25], [-1, -25]], [[1, 13], [1, 51]], [[-1, 11], [-1, 53]], [[1, 19], [1, -19]], [[-1, 3], [-1, -3]], [[1, 31], [1, -31]], [[1, 15], [1, 49]], [[1, 13], [1, -13]], [[1, 3], [1, 61]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, -29]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[-1, 23], [-1, 41]], [[1, 15], [1, -15]], [[-1, 13], [-1, 51]], [[1, 29], [1, 35]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 5], [1, 59]], [[-1, 3], [-1, 61]], [[1, 21], [1, 43]], [[-1, 7], [-1, 57]], [[-1, 19], [-1, -19]], [[-1, 9], [-1, 55]], [[-1, 15], [-1, 49]], [[1, 25], [1, -25]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[1, 19], [1, 45]], [[1, 25], [1, 39]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, 47]], [[1, 3], [1, -3]], [[-1, 21], [-1, 43]], [[1, 23], [1, 41]], [[1, 17], [1, 47]], [[1, 7], [1, 57]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, 39]], [[-1, 15], [-1, -15]], [[-1, 29], [-1, 35]], [[-1, 27], [-1, 37]], [[1, 1], [1, 63]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 7445190
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 121, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k51', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, 58]], [[1, 22], [1, 42]], [[-1, 22], [-1, -22]], [[1, 6], [1, 58]], [[1, 14], [1, 50]], [[1, 10], [1, -10]], [[1, 2], [1, 62]], [[1, 10], [1, 54]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 14], [-1, 50]], [[1, 18], [1, 46]], [[-1, 14], [-1, -14]], [[1, 30], [1, 34]], [[-1, 22], [-1, 42]], [[-1, 2], [-1, 62]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, 54]], [[1, 26], [1, 38]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, -26]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, 38]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[1, 22], [1, -22]], [[1, 31], [1, 33]], [[1, 27], [1, 37]], [[1, 31], [1, -31]], [[-1, 5], [-1, 59]], [[-1, 19], [-1, 45]], [[-1, 5], [-1, -5]], [[1, 9], [1, 55]], [[-1, 27], [-1, -27]], [[-1, 31], [-1, 33]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, 63]], [[1, 27], [1, -27]], [[1, 17], [1, -17]], [[-1, 29], [-1, -29]], [[1, 11], [1, 53]], [[-1, 23], [-1, -23]], [[1, 25], [1, -25]], [[1, 13], [1, 51]], [[-1, 11], [-1, 53]], [[-1, 19], [-1, -19]], [[1, 3], [1, -3]], [[-1, 31], [-1, -31]], [[1, 15], [1, 49]], [[-1, 13], [-1, -13]], [[1, 3], [1, 61]], [[1, 5], [1, -5]], [[1, 29], [1, -29]], [[1, 23], [1, -23]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[-1, 23], [-1, 41]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, 51]], [[1, 29], [1, 35]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, 59]], [[-1, 3], [-1, 61]], [[1, 21], [1, 43]], [[-1, 7], [-1, 57]], [[1, 19], [1, -19]], [[-1, 9], [-1, 55]], [[-1, 15], [-1, 49]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 19], [1, 45]], [[1, 25], [1, 39]], [[1, 21], [1, -21]], [[-1, 17], [-1, 47]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, 43]], [[1, 23], [1, 41]], [[1, 17], [1, 47]], [[1, 7], [1, 57]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 25], [-1, 39]], [[1, 15], [1, -15]], [[-1, 29], [-1, 35]], [[-1, 27], [-1, 37]], [[1, 1], [1, 63]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 7445191
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  • id: 7445192
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 123, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k53', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[-1, 20], [-1, 44]], [[1, 28], [1, -28]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 18], [1, 46]], [[1, 6], [1, 58]], [[-1, 22], [-1, 42]], [[1, 22], [1, -22]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, 50]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, 62]], [[-1, 10], [-1, 54]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[1, 14], [1, 50]], [[-1, 18], [-1, 46]], [[1, 14], [1, -14]], [[-1, 30], [-1, 34]], [[1, 22], [1, 42]], [[1, 2], [1, 62]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, 54]], [[-1, 26], [-1, 38]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[1, 30], [1, 34]], [[1, 10], [1, -10]], [[1, 26], [1, 38]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 1], [-1, 63]], [[-1, 5], [-1, 59]], [[1, 1], [1, -1]], [[-1, 27], [-1, 37]], [[1, 13], [1, 51]], [[1, 27], [1, -27]], [[1, 23], [1, 41]], [[-1, 5], [-1, -5]], [[1, 1], [1, 63]], [[1, 11], [1, -11]], [[-1, 31], [-1, 33]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[-1, 21], [-1, 43]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 19], [1, 45]], [[1, 21], [1, 43]], [[-1, 13], [-1, -13]], [[1, 29], [1, -29]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, 47]], [[1, 19], [1, -19]], [[-1, 29], [-1, 35]], [[-1, 27], [-1, -27]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 25], [1, -25]], [[1, 15], [1, -15]], [[1, 9], [1, 55]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, 45]], [[1, 3], [1, 61]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[1, 27], [1, 37]], [[1, 29], [1, 35]], [[1, 11], [1, 53]], [[1, 25], [1, 39]], [[1, 13], [1, -13]], [[-1, 23], [-1, 41]], [[1, 17], [1, 47]], [[1, 7], [1, -7]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, 51]], [[1, 7], [1, 57]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, 49]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, 53]], [[-1, 9], [-1, 55]], [[1, 15], [1, 49]], [[-1, 25], [-1, 39]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[-1, 7], [-1, 57]], [[1, 17], [1, -17]], [[-1, 3], [-1, 61]], [[1, 5], [1, 59]], [[1, 31], [1, 33]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]]]}
  • id: 7445193
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 124, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k54', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[1, 4], [1, 60]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, 58]], [[1, 22], [1, 42]], [[1, 22], [1, -22]], [[1, 6], [1, 58]], [[1, 14], [1, 50]], [[-1, 10], [-1, -10]], [[1, 2], [1, 62]], [[1, 10], [1, 54]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, 50]], [[1, 18], [1, 46]], [[1, 14], [1, -14]], [[1, 30], [1, 34]], [[-1, 22], [-1, 42]], [[-1, 2], [-1, 62]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, 54]], [[1, 26], [1, 38]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[-1, 30], [-1, 34]], [[1, 10], [1, -10]], [[-1, 26], [-1, 38]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[1, 1], [1, 63]], [[1, 5], [1, 59]], [[1, 1], [1, -1]], [[1, 27], [1, 37]], [[-1, 13], [-1, 51]], [[1, 27], [1, -27]], [[-1, 23], [-1, 41]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, 63]], [[1, 11], [1, -11]], [[1, 31], [1, 33]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 21], [1, 43]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 19], [-1, 45]], [[-1, 21], [-1, 43]], [[-1, 13], [-1, -13]], [[1, 29], [1, -29]], [[-1, 1], [-1, -1]], [[1, 17], [1, 47]], [[1, 19], [1, -19]], [[1, 29], [1, 35]], [[-1, 27], [-1, -27]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 25], [1, -25]], [[1, 15], [1, -15]], [[-1, 9], [-1, 55]], [[-1, 17], [-1, -17]], [[1, 19], [1, 45]], [[-1, 3], [-1, 61]], [[-1, 21], [-1, -21]], [[1, 21], [1, -21]], [[-1, 27], [-1, 37]], [[-1, 29], [-1, 35]], [[-1, 11], [-1, 53]], [[-1, 25], [-1, 39]], [[1, 13], [1, -13]], [[1, 23], [1, 41]], [[-1, 17], [-1, 47]], [[1, 7], [1, -7]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[1, 13], [1, 51]], [[-1, 7], [-1, 57]], [[-1, 11], [-1, -11]], [[1, 15], [1, 49]], [[-1, 29], [-1, -29]], [[1, 11], [1, 53]], [[1, 9], [1, 55]], [[-1, 15], [-1, 49]], [[1, 25], [1, 39]], [[1, 23], [1, -23]], [[-1, 23], [-1, -23]], [[1, 7], [1, 57]], [[1, 17], [1, -17]], [[1, 3], [1, 61]], [[-1, 5], [-1, 59]], [[-1, 31], [-1, 33]], [[1, 31], [1, -31]], [[-1, 31], [-1, -31]]]}
  • id: 7445194
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  • id: 7445195
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 126, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k56', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, -28]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[1, 20], [1, 44]], [[1, 28], [1, -28]], [[1, 4], [1, 60]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, 58]], [[1, 22], [1, 42]], [[1, 22], [1, -22]], [[1, 6], [1, 58]], [[1, 14], [1, 50]], [[-1, 10], [-1, -10]], [[1, 2], [1, 62]], [[1, 10], [1, 54]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, 50]], [[1, 18], [1, 46]], [[1, 14], [1, -14]], [[1, 30], [1, 34]], [[-1, 22], [-1, 42]], [[-1, 2], [-1, 62]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, 54]], [[1, 26], [1, 38]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[-1, 30], [-1, 34]], [[1, 10], [1, -10]], [[-1, 26], [-1, 38]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 1], [-1, 63]], [[-1, 5], [-1, 59]], [[-1, 1], [-1, -1]], [[-1, 27], [-1, 37]], [[1, 13], [1, 51]], [[-1, 27], [-1, -27]], [[1, 23], [1, 41]], [[1, 5], [1, -5]], [[1, 1], [1, 63]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, 33]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, 43]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 19], [1, 45]], [[1, 21], [1, 43]], [[1, 13], [1, -13]], [[-1, 29], [-1, -29]], [[1, 1], [1, -1]], [[-1, 17], [-1, 47]], [[-1, 19], [-1, -19]], [[-1, 29], [-1, 35]], [[1, 27], [1, -27]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, -25]], [[-1, 15], [-1, -15]], [[1, 9], [1, 55]], [[1, 17], [1, -17]], [[-1, 19], [-1, 45]], [[1, 3], [1, 61]], [[1, 21], [1, -21]], [[-1, 21], [-1, -21]], [[1, 27], [1, 37]], [[1, 29], [1, 35]], [[1, 11], [1, 53]], [[1, 25], [1, 39]], [[-1, 13], [-1, -13]], [[-1, 23], [-1, 41]], [[1, 17], [1, 47]], [[-1, 7], [-1, -7]], [[1, 25], [1, -25]], [[1, 19], [1, -19]], [[-1, 13], [-1, 51]], [[1, 7], [1, 57]], [[1, 11], [1, -11]], [[-1, 15], [-1, 49]], [[1, 29], [1, -29]], [[-1, 11], [-1, 53]], [[-1, 9], [-1, 55]], [[1, 15], [1, 49]], [[-1, 25], [-1, 39]], [[-1, 23], [-1, -23]], [[1, 23], [1, -23]], [[-1, 7], [-1, 57]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, 61]], [[1, 5], [1, 59]], [[1, 31], [1, 33]], [[-1, 31], [-1, -31]], [[1, 31], [1, -31]]]}
  • id: 7445196
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 127, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k57', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 4], [1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, 50]], [[1, 26], [1, 38]], [[-1, 10], [-1, 54]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, -22]], [[1, 30], [1, 34]], [[1, 22], [1, 42]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, 46]], [[1, 14], [1, 50]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, 62]], [[1, 10], [1, 54]], [[-1, 30], [-1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, 42]], [[1, 6], [1, 58]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 2], [1, 62]], [[1, 22], [1, -22]], [[-1, 6], [-1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 15], [-1, 49]], [[1, 11], [1, 53]], [[-1, 15], [-1, -15]], [[-1, 21], [-1, 43]], [[-1, 3], [-1, 61]], [[-1, 21], [-1, -21]], [[-1, 25], [-1, 39]], [[-1, 11], [-1, -11]], [[1, 15], [1, 49]], [[1, 27], [1, -27]], [[1, 17], [1, 47]], [[1, 11], [1, -11]], [[1, 31], [1, -31]], [[1, 19], [1, -19]], [[-1, 5], [-1, 59]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[1, 29], [1, 35]], [[1, 5], [1, 59]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[1, 1], [1, 63]], [[-1, 29], [-1, -29]], [[-1, 13], [-1, 51]], [[1, 21], [1, -21]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 31], [-1, -31]], [[1, 7], [1, 57]], [[1, 1], [1, -1]], [[-1, 29], [-1, 35]], [[1, 19], [1, 45]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 21], [1, 43]], [[1, 13], [1, 51]], [[1, 27], [1, 37]], [[-1, 9], [-1, 55]], [[1, 3], [1, -3]], [[1, 25], [1, 39]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, -23]], [[1, 9], [1, -9]], [[1, 29], [1, -29]], [[1, 3], [1, 61]], [[-1, 23], [-1, 41]], [[-1, 27], [-1, -27]], [[1, 31], [1, 33]], [[-1, 13], [-1, -13]], [[-1, 27], [-1, 37]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, 33]], [[1, 9], [1, 55]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[1, 23], [1, 41]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, 53]], [[-1, 17], [-1, 47]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]]]}
  • id: 7445197
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 128, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k58', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, 50]], [[-1, 26], [-1, 38]], [[1, 10], [1, 54]], [[-1, 10], [-1, -10]], [[1, 26], [1, 38]], [[1, 18], [1, 46]], [[-1, 22], [-1, -22]], [[-1, 30], [-1, 34]], [[-1, 22], [-1, 42]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, 46]], [[-1, 14], [-1, 50]], [[-1, 18], [-1, -18]], [[1, 2], [1, 62]], [[-1, 10], [-1, 54]], [[1, 30], [1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[-1, 30], [-1, -30]], [[1, 22], [1, 42]], [[-1, 6], [-1, 58]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, 62]], [[1, 22], [1, -22]], [[1, 6], [1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 15], [1, 49]], [[-1, 11], [-1, 53]], [[-1, 15], [-1, -15]], [[1, 21], [1, 43]], [[1, 3], [1, 61]], [[-1, 21], [-1, -21]], [[1, 25], [1, 39]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, 49]], [[1, 27], [1, -27]], [[-1, 17], [-1, 47]], [[1, 11], [1, -11]], [[1, 31], [1, -31]], [[1, 19], [1, -19]], [[1, 5], [1, 59]], [[1, 7], [1, -7]], [[1, 23], [1, -23]], [[-1, 29], [-1, 35]], [[-1, 5], [-1, 59]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 1], [-1, 63]], [[-1, 29], [-1, -29]], [[1, 13], [1, 51]], [[1, 21], [1, -21]], [[-1, 19], [-1, -19]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, 57]], [[1, 1], [1, -1]], [[1, 29], [1, 35]], [[-1, 19], [-1, 45]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 21], [-1, 43]], [[-1, 13], [-1, 51]], [[-1, 27], [-1, 37]], [[1, 9], [1, 55]], [[1, 3], [1, -3]], [[-1, 25], [-1, 39]], [[1, 1], [1, 63]], [[-1, 23], [-1, -23]], [[1, 9], [1, -9]], [[1, 29], [1, -29]], [[-1, 3], [-1, 61]], [[1, 23], [1, 41]], [[-1, 27], [-1, -27]], [[-1, 31], [-1, 33]], [[-1, 13], [-1, -13]], [[1, 27], [1, 37]], [[1, 7], [1, 57]], [[1, 31], [1, 33]], [[-1, 9], [-1, 55]], [[1, 25], [1, -25]], [[-1, 25], [-1, -25]], [[-1, 23], [-1, 41]], [[-1, 1], [-1, -1]], [[1, 19], [1, 45]], [[1, 11], [1, 53]], [[1, 17], [1, 47]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]]]}
  • id: 7445198
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 129, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k59', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 4], [1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, 50]], [[1, 26], [1, 38]], [[-1, 10], [-1, 54]], [[-1, 10], [-1, -10]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, -22]], [[1, 30], [1, 34]], [[1, 22], [1, 42]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 18], [1, 46]], [[1, 14], [1, 50]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, 62]], [[1, 10], [1, 54]], [[-1, 30], [-1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, 42]], [[1, 6], [1, 58]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 2], [1, 62]], [[1, 22], [1, -22]], [[-1, 6], [-1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 15], [1, 49]], [[-1, 11], [-1, 53]], [[1, 15], [1, -15]], [[1, 21], [1, 43]], [[1, 3], [1, 61]], [[1, 21], [1, -21]], [[1, 25], [1, 39]], [[1, 11], [1, -11]], [[-1, 15], [-1, 49]], [[-1, 27], [-1, -27]], [[-1, 17], [-1, 47]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 19], [-1, -19]], [[1, 5], [1, 59]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[-1, 29], [-1, 35]], [[-1, 5], [-1, 59]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, 63]], [[1, 29], [1, -29]], [[1, 13], [1, 51]], [[-1, 21], [-1, -21]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 31], [1, -31]], [[-1, 7], [-1, 57]], [[-1, 1], [-1, -1]], [[1, 29], [1, 35]], [[-1, 19], [-1, 45]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 21], [-1, 43]], [[-1, 13], [-1, 51]], [[-1, 27], [-1, 37]], [[1, 9], [1, 55]], [[-1, 3], [-1, -3]], [[-1, 25], [-1, 39]], [[1, 1], [1, 63]], [[1, 23], [1, -23]], [[-1, 9], [-1, -9]], [[-1, 29], [-1, -29]], [[-1, 3], [-1, 61]], [[1, 23], [1, 41]], [[1, 27], [1, -27]], [[-1, 31], [-1, 33]], [[1, 13], [1, -13]], [[1, 27], [1, 37]], [[1, 7], [1, 57]], [[1, 31], [1, 33]], [[-1, 9], [-1, 55]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[-1, 23], [-1, 41]], [[1, 1], [1, -1]], [[1, 19], [1, 45]], [[1, 11], [1, 53]], [[1, 17], [1, 47]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]]]}
  • id: 7445273
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 76, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k6', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 26], [-1, 38]], [[1, 30], [1, 34]], [[1, 18], [1, 46]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, 34]], [[1, 6], [1, 58]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, 54]], [[-1, 14], [-1, 50]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, 58]], [[1, 26], [1, 38]], [[1, 6], [1, -6]], [[-1, 22], [-1, 42]], [[-1, 18], [-1, 46]], [[1, 10], [1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 10], [1, -10]], [[1, 14], [1, 50]], [[-1, 2], [-1, 62]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[1, 22], [1, 42]], [[1, 14], [1, -14]], [[1, 2], [1, 62]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 27], [1, 37]], [[1, 7], [1, 57]], [[-1, 27], [-1, -27]], [[-1, 25], [-1, 39]], [[1, 31], [1, 33]], [[1, 25], [1, -25]], [[1, 19], [1, 45]], [[1, 7], [1, -7]], [[-1, 27], [-1, 37]], [[1, 23], [1, -23]], [[-1, 5], [-1, 59]], [[-1, 7], [-1, -7]], [[1, 21], [1, -21]], [[1, 17], [1, -17]], [[1, 9], [1, 55]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 63]], [[-1, 9], [-1, 55]], [[-1, 31], [-1, -31]], [[-1, 15], [-1, -15]], [[1, 27], [1, -27]], [[-1, 11], [-1, 53]], [[-1, 1], [-1, -1]], [[1, 15], [1, 49]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[1, 29], [1, -29]], [[-1, 21], [-1, -21]], [[1, 13], [1, 51]], [[-1, 11], [-1, -11]], [[1, 1], [1, 63]], [[1, 17], [1, 47]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 25], [1, 39]], [[-1, 15], [-1, 49]], [[-1, 23], [-1, 41]], [[-1, 29], [-1, 35]], [[1, 31], [1, -31]], [[-1, 19], [-1, 45]], [[1, 11], [1, 53]], [[1, 3], [1, -3]], [[-1, 29], [-1, -29]], [[1, 1], [1, -1]], [[-1, 31], [-1, 33]], [[-1, 3], [-1, 61]], [[-1, 23], [-1, -23]], [[1, 21], [1, 43]], [[1, 15], [1, -15]], [[1, 23], [1, 41]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, 43]], [[1, 29], [1, 35]], [[-1, 19], [-1, -19]], [[1, 19], [1, -19]], [[1, 3], [1, 61]], [[1, 11], [1, -11]], [[-1, 17], [-1, 47]], [[-1, 7], [-1, 57]], [[1, 5], [1, 59]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 7445200
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 130, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k60', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, 50]], [[-1, 26], [-1, 38]], [[1, 10], [1, 54]], [[-1, 10], [-1, -10]], [[1, 26], [1, 38]], [[1, 18], [1, 46]], [[-1, 22], [-1, -22]], [[-1, 30], [-1, 34]], [[-1, 22], [-1, 42]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, 46]], [[-1, 14], [-1, 50]], [[-1, 18], [-1, -18]], [[1, 2], [1, 62]], [[-1, 10], [-1, 54]], [[1, 30], [1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[-1, 30], [-1, -30]], [[1, 22], [1, 42]], [[-1, 6], [-1, 58]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, 62]], [[1, 22], [1, -22]], [[1, 6], [1, 58]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 15], [-1, 49]], [[1, 11], [1, 53]], [[1, 15], [1, -15]], [[-1, 21], [-1, 43]], [[-1, 3], [-1, 61]], [[1, 21], [1, -21]], [[-1, 25], [-1, 39]], [[1, 11], [1, -11]], [[1, 15], [1, 49]], [[-1, 27], [-1, -27]], [[1, 17], [1, 47]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, 59]], [[-1, 7], [-1, -7]], [[-1, 23], [-1, -23]], [[1, 29], [1, 35]], [[1, 5], [1, 59]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 1], [1, 63]], [[1, 29], [1, -29]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, -21]], [[1, 19], [1, -19]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 31], [1, -31]], [[1, 7], [1, 57]], [[-1, 1], [-1, -1]], [[-1, 29], [-1, 35]], [[1, 19], [1, 45]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 21], [1, 43]], [[1, 13], [1, 51]], [[1, 27], [1, 37]], [[-1, 9], [-1, 55]], [[-1, 3], [-1, -3]], [[1, 25], [1, 39]], [[-1, 1], [-1, 63]], [[1, 23], [1, -23]], [[-1, 9], [-1, -9]], [[-1, 29], [-1, -29]], [[1, 3], [1, 61]], [[-1, 23], [-1, 41]], [[1, 27], [1, -27]], [[1, 31], [1, 33]], [[1, 13], [1, -13]], [[-1, 27], [-1, 37]], [[-1, 7], [-1, 57]], [[-1, 31], [-1, 33]], [[1, 9], [1, 55]], [[-1, 25], [-1, -25]], [[1, 25], [1, -25]], [[1, 23], [1, 41]], [[1, 1], [1, -1]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, 53]], [[-1, 17], [-1, 47]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]]]}
  • id: 7445201
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 131, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k61', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 4], [1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, 50]], [[-1, 26], [-1, 38]], [[1, 10], [1, 54]], [[1, 10], [1, -10]], [[1, 26], [1, 38]], [[1, 18], [1, 46]], [[1, 22], [1, -22]], [[-1, 30], [-1, 34]], [[-1, 22], [-1, 42]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, 46]], [[-1, 14], [-1, 50]], [[1, 18], [1, -18]], [[1, 2], [1, 62]], [[-1, 10], [-1, 54]], [[1, 30], [1, 34]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[1, 30], [1, -30]], [[1, 22], [1, 42]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, 62]], [[-1, 22], [-1, -22]], [[1, 6], [1, 58]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 17], [-1, 47]], [[1, 21], [1, 43]], [[1, 17], [1, -17]], [[1, 11], [1, 53]], [[-1, 29], [-1, 35]], [[-1, 11], [-1, -11]], [[1, 7], [1, 57]], [[1, 21], [1, -21]], [[1, 17], [1, 47]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, 49]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 27], [1, 37]], [[-1, 25], [-1, -25]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, 61]], [[-1, 27], [-1, 37]], [[1, 29], [1, -29]], [[1, 19], [1, -19]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, 33]], [[-1, 3], [-1, -3]], [[1, 19], [1, 45]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[1, 1], [1, -1]], [[1, 25], [1, 39]], [[1, 31], [1, -31]], [[1, 3], [1, 61]], [[1, 13], [1, 51]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[-1, 11], [-1, 53]], [[-1, 19], [-1, 45]], [[1, 5], [1, 59]], [[1, 23], [1, 41]], [[-1, 29], [-1, -29]], [[-1, 7], [-1, 57]], [[1, 31], [1, 33]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[1, 29], [1, 35]], [[-1, 9], [-1, 55]], [[1, 5], [1, -5]], [[1, 1], [1, 63]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, 59]], [[-1, 25], [-1, 39]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, 41]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, 55]], [[-1, 31], [-1, -31]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, 43]], [[1, 15], [1, 49]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]]]}
  • id: 7445202
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 132, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k62', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, 50]], [[1, 26], [1, 38]], [[-1, 10], [-1, 54]], [[1, 10], [1, -10]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, 46]], [[1, 22], [1, -22]], [[1, 30], [1, 34]], [[1, 22], [1, 42]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 18], [1, 46]], [[1, 14], [1, 50]], [[1, 18], [1, -18]], [[-1, 2], [-1, 62]], [[1, 10], [1, 54]], [[-1, 30], [-1, 34]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[1, 30], [1, -30]], [[-1, 22], [-1, 42]], [[1, 6], [1, 58]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, 62]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, 58]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 17], [1, 47]], [[-1, 21], [-1, 43]], [[1, 17], [1, -17]], [[-1, 11], [-1, 53]], [[1, 29], [1, 35]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, 57]], [[1, 21], [1, -21]], [[-1, 17], [-1, 47]], [[-1, 5], [-1, -5]], [[1, 15], [1, 49]], [[-1, 21], [-1, -21]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 27], [-1, 37]], [[-1, 25], [-1, -25]], [[-1, 9], [-1, -9]], [[1, 3], [1, 61]], [[1, 27], [1, 37]], [[1, 29], [1, -29]], [[1, 19], [1, -19]], [[-1, 17], [-1, -17]], [[1, 31], [1, 33]], [[-1, 3], [-1, -3]], [[-1, 19], [-1, 45]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 25], [1, -25]], [[-1, 23], [-1, -23]], [[1, 1], [1, -1]], [[-1, 25], [-1, 39]], [[1, 31], [1, -31]], [[-1, 3], [-1, 61]], [[-1, 13], [-1, 51]], [[-1, 27], [-1, -27]], [[1, 27], [1, -27]], [[1, 11], [1, 53]], [[1, 19], [1, 45]], [[-1, 5], [-1, 59]], [[-1, 23], [-1, 41]], [[-1, 29], [-1, -29]], [[1, 7], [1, 57]], [[-1, 31], [-1, 33]], [[1, 9], [1, -9]], [[1, 23], [1, -23]], [[1, 3], [1, -3]], [[-1, 29], [-1, 35]], [[1, 9], [1, 55]], [[1, 5], [1, -5]], [[-1, 1], [-1, 63]], [[-1, 19], [-1, -19]], [[1, 5], [1, 59]], [[1, 25], [1, 39]], [[1, 1], [1, 63]], [[1, 23], [1, 41]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, 55]], [[-1, 31], [-1, -31]], [[1, 13], [1, 51]], [[1, 21], [1, 43]], [[-1, 15], [-1, 49]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]]]}
  • id: 7445203
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 133, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k63', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[1, 20], [1, 44]], [[-1, 28], [-1, -28]], [[1, 4], [1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, 52]], [[1, 28], [1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, 50]], [[-1, 26], [-1, 38]], [[1, 10], [1, 54]], [[1, 10], [1, -10]], [[1, 26], [1, 38]], [[1, 18], [1, 46]], [[1, 22], [1, -22]], [[-1, 30], [-1, 34]], [[-1, 22], [-1, 42]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 18], [-1, 46]], [[-1, 14], [-1, 50]], [[1, 18], [1, -18]], [[1, 2], [1, 62]], [[-1, 10], [-1, 54]], [[1, 30], [1, 34]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[1, 30], [1, -30]], [[1, 22], [1, 42]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, 62]], [[-1, 22], [-1, -22]], [[1, 6], [1, 58]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 17], [1, 47]], [[-1, 21], [-1, 43]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, 53]], [[1, 29], [1, 35]], [[1, 11], [1, -11]], [[-1, 7], [-1, 57]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, 47]], [[1, 5], [1, -5]], [[1, 15], [1, 49]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[-1, 27], [-1, 37]], [[1, 25], [1, -25]], [[1, 9], [1, -9]], [[1, 3], [1, 61]], [[1, 27], [1, 37]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, -19]], [[1, 17], [1, -17]], [[1, 31], [1, 33]], [[1, 3], [1, -3]], [[-1, 19], [-1, 45]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[-1, 1], [-1, -1]], [[-1, 25], [-1, 39]], [[-1, 31], [-1, -31]], [[-1, 3], [-1, 61]], [[-1, 13], [-1, 51]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[1, 11], [1, 53]], [[1, 19], [1, 45]], [[-1, 5], [-1, 59]], [[-1, 23], [-1, 41]], [[1, 29], [1, -29]], [[1, 7], [1, 57]], [[-1, 31], [-1, 33]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[-1, 29], [-1, 35]], [[1, 9], [1, 55]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, 63]], [[1, 19], [1, -19]], [[1, 5], [1, 59]], [[1, 25], [1, 39]], [[1, 1], [1, 63]], [[1, 23], [1, 41]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, 55]], [[1, 31], [1, -31]], [[1, 13], [1, 51]], [[1, 21], [1, 43]], [[-1, 15], [-1, 49]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]]]}
  • id: 7445204
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 134, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k64', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, -28]], [[-1, 20], [-1, -20]], [[1, 20], [1, -20]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, -28]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, 52]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, 60]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[1, 12], [1, 52]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, 50]], [[1, 26], [1, 38]], [[-1, 10], [-1, 54]], [[1, 10], [1, -10]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, 46]], [[1, 22], [1, -22]], [[1, 30], [1, 34]], [[1, 22], [1, 42]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 18], [1, 46]], [[1, 14], [1, 50]], [[1, 18], [1, -18]], [[-1, 2], [-1, 62]], [[1, 10], [1, 54]], [[-1, 30], [-1, 34]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, -26]], [[1, 30], [1, -30]], [[-1, 22], [-1, 42]], [[1, 6], [1, 58]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, 62]], [[-1, 22], [-1, -22]], [[-1, 6], [-1, 58]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 17], [-1, 47]], [[1, 21], [1, 43]], [[-1, 17], [-1, -17]], [[1, 11], [1, 53]], [[-1, 29], [-1, 35]], [[1, 11], [1, -11]], [[1, 7], [1, 57]], [[-1, 21], [-1, -21]], [[1, 17], [1, 47]], [[1, 5], [1, -5]], [[-1, 15], [-1, 49]], [[1, 21], [1, -21]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 27], [1, 37]], [[1, 25], [1, -25]], [[1, 9], [1, -9]], [[-1, 3], [-1, 61]], [[-1, 27], [-1, 37]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, -19]], [[1, 17], [1, -17]], [[-1, 31], [-1, 33]], [[1, 3], [1, -3]], [[1, 19], [1, 45]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[1, 23], [1, -23]], [[-1, 1], [-1, -1]], [[1, 25], [1, 39]], [[-1, 31], [-1, -31]], [[1, 3], [1, 61]], [[1, 13], [1, 51]], [[1, 27], [1, -27]], [[-1, 27], [-1, -27]], [[-1, 11], [-1, 53]], [[-1, 19], [-1, 45]], [[1, 5], [1, 59]], [[1, 23], [1, 41]], [[1, 29], [1, -29]], [[-1, 7], [-1, 57]], [[1, 31], [1, 33]], [[-1, 9], [-1, -9]], [[-1, 23], [-1, -23]], [[-1, 3], [-1, -3]], [[1, 29], [1, 35]], [[-1, 9], [-1, 55]], [[-1, 5], [-1, -5]], [[1, 1], [1, 63]], [[1, 19], [1, -19]], [[-1, 5], [-1, 59]], [[-1, 25], [-1, 39]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, 41]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, 55]], [[1, 31], [1, -31]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, 43]], [[1, 15], [1, 49]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]]]}
  • id: 7445274
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 77, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k7', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[1, 28], [1, 36]], [[1, 12], [1, -12]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[1, 20], [1, 44]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[1, 4], [1, 60]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[1, 26], [1, 38]], [[-1, 30], [-1, 34]], [[-1, 18], [-1, 46]], [[-1, 18], [-1, -18]], [[1, 30], [1, 34]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, -14]], [[1, 10], [1, 54]], [[1, 14], [1, 50]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[1, 6], [1, 58]], [[-1, 26], [-1, 38]], [[1, 6], [1, -6]], [[1, 22], [1, 42]], [[1, 18], [1, 46]], [[-1, 10], [-1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 10], [1, -10]], [[-1, 14], [-1, 50]], [[1, 2], [1, 62]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[-1, 22], [-1, 42]], [[1, 14], [1, -14]], [[-1, 2], [-1, 62]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[1, 27], [1, 37]], [[1, 7], [1, 57]], [[1, 27], [1, -27]], [[-1, 25], [-1, 39]], [[1, 31], [1, 33]], [[-1, 25], [-1, -25]], [[1, 19], [1, 45]], [[-1, 7], [-1, -7]], [[-1, 27], [-1, 37]], [[-1, 23], [-1, -23]], [[-1, 5], [-1, 59]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[1, 9], [1, 55]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 1], [-1, 63]], [[-1, 9], [-1, 55]], [[1, 31], [1, -31]], [[1, 15], [1, -15]], [[-1, 27], [-1, -27]], [[-1, 11], [-1, 53]], [[1, 1], [1, -1]], [[1, 15], [1, 49]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[-1, 29], [-1, -29]], [[1, 21], [1, -21]], [[1, 13], [1, 51]], [[1, 11], [1, -11]], [[1, 1], [1, 63]], [[1, 17], [1, 47]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 25], [1, 39]], [[-1, 15], [-1, 49]], [[-1, 23], [-1, 41]], [[-1, 29], [-1, 35]], [[-1, 31], [-1, -31]], [[-1, 19], [-1, 45]], [[1, 11], [1, 53]], [[-1, 3], [-1, -3]], [[1, 29], [1, -29]], [[-1, 1], [-1, -1]], [[-1, 31], [-1, 33]], [[-1, 3], [-1, 61]], [[1, 23], [1, -23]], [[1, 21], [1, 43]], [[-1, 15], [-1, -15]], [[1, 23], [1, 41]], [[-1, 13], [-1, 51]], [[-1, 21], [-1, 43]], [[1, 29], [1, 35]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[1, 3], [1, 61]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, 47]], [[-1, 7], [-1, 57]], [[1, 5], [1, 59]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 7445275
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k8', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[-1, 28], [-1, 36]], [[1, 12], [1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[-1, 20], [-1, -20]], [[1, 4], [1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[-1, 4], [-1, -4]], [[1, 20], [1, -20]], [[-1, 26], [-1, 38]], [[1, 30], [1, 34]], [[1, 18], [1, 46]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, 34]], [[1, 6], [1, 58]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, 54]], [[-1, 14], [-1, 50]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, 58]], [[1, 26], [1, 38]], [[1, 6], [1, -6]], [[-1, 22], [-1, 42]], [[-1, 18], [-1, 46]], [[1, 10], [1, 54]], [[-1, 10], [-1, -10]], [[1, 30], [1, -30]], [[1, 10], [1, -10]], [[1, 14], [1, 50]], [[-1, 2], [-1, 62]], [[1, 22], [1, -22]], [[-1, 30], [-1, -30]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[1, 22], [1, 42]], [[1, 14], [1, -14]], [[1, 2], [1, 62]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 27], [-1, 37]], [[-1, 7], [-1, 57]], [[1, 27], [1, -27]], [[1, 25], [1, 39]], [[-1, 31], [-1, 33]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, 45]], [[-1, 7], [-1, -7]], [[1, 27], [1, 37]], [[-1, 23], [-1, -23]], [[1, 5], [1, 59]], [[1, 7], [1, -7]], [[-1, 21], [-1, -21]], [[-1, 17], [-1, -17]], [[-1, 9], [-1, 55]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[1, 1], [1, 63]], [[1, 9], [1, 55]], [[1, 31], [1, -31]], [[1, 15], [1, -15]], [[-1, 27], [-1, -27]], [[1, 11], [1, 53]], [[1, 1], [1, -1]], [[-1, 15], [-1, 49]], [[1, 25], [1, -25]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[-1, 29], [-1, -29]], [[1, 21], [1, -21]], [[-1, 13], [-1, 51]], [[1, 11], [1, -11]], [[-1, 1], [-1, 63]], [[-1, 17], [-1, 47]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 25], [-1, 39]], [[1, 15], [1, 49]], [[1, 23], [1, 41]], [[1, 29], [1, 35]], [[-1, 31], [-1, -31]], [[1, 19], [1, 45]], [[-1, 11], [-1, 53]], [[-1, 3], [-1, -3]], [[1, 29], [1, -29]], [[-1, 1], [-1, -1]], [[1, 31], [1, 33]], [[1, 3], [1, 61]], [[1, 23], [1, -23]], [[-1, 21], [-1, 43]], [[-1, 15], [-1, -15]], [[-1, 23], [-1, 41]], [[1, 13], [1, 51]], [[1, 21], [1, 43]], [[-1, 29], [-1, 35]], [[1, 19], [1, -19]], [[-1, 19], [-1, -19]], [[-1, 3], [-1, 61]], [[-1, 11], [-1, -11]], [[1, 17], [1, 47]], [[1, 7], [1, 57]], [[-1, 5], [-1, 59]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 7445276
    {'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '512.60901', 'group_counter': 60901, 'group_order': 512, 'image': None, 'image_isoclass': '512.60901', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.60901.2k9', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[-1, 28], [-1, 36]], [[-1, 12], [-1, -12]], [[1, 20], [1, 44]], [[1, 4], [1, 60]], [[1, 20], [1, -20]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, 44]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[-1, 4], [-1, 60]], [[1, 12], [1, 52]], [[1, 4], [1, -4]], [[-1, 20], [-1, -20]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, 62]], [[1, 14], [1, 50]], [[-1, 14], [-1, -14]], [[1, 2], [1, 62]], [[-1, 26], [-1, 38]], [[1, 18], [1, -18]], [[-1, 22], [-1, 42]], [[1, 18], [1, 46]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 26], [1, 38]], [[1, 6], [1, 58]], [[-1, 26], [-1, -26]], [[1, 10], [1, 54]], [[-1, 14], [-1, 50]], [[1, 22], [1, 42]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, -2]], [[1, 22], [1, -22]], [[-1, 18], [-1, 46]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[1, 30], [1, 34]], [[1, 30], [1, -30]], [[1, 26], [1, -26]], [[1, 14], [1, -14]], [[-1, 21], [-1, 43]], [[1, 23], [1, 41]], [[1, 21], [1, -21]], [[-1, 9], [-1, 55]], [[1, 17], [1, 47]], [[-1, 9], [-1, -9]], [[-1, 29], [-1, 35]], [[-1, 23], [-1, -23]], [[1, 21], [1, 43]], [[1, 25], [1, -25]], [[-1, 11], [-1, 53]], [[1, 23], [1, -23]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, 57]], [[1, 3], [1, -3]], [[-1, 19], [-1, -19]], [[1, 15], [1, 49]], [[1, 7], [1, 57]], [[-1, 17], [-1, -17]], [[1, 31], [1, -31]], [[-1, 21], [-1, -21]], [[1, 27], [1, 37]], [[1, 15], [1, -15]], [[1, 31], [1, 33]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 3], [1, 61]], [[-1, 27], [-1, -27]], [[-1, 15], [-1, 49]], [[1, 1], [1, 63]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, 55]], [[-1, 31], [-1, 33]], [[-1, 25], [-1, 39]], [[1, 13], [1, 51]], [[1, 17], [1, -17]], [[1, 29], [1, 35]], [[-1, 27], [-1, 37]], [[1, 19], [1, -19]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, 47]], [[1, 19], [1, 45]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, 59]], [[-1, 31], [-1, -31]], [[1, 25], [1, 39]], [[-1, 3], [-1, 61]], [[1, 5], [1, 59]], [[-1, 13], [-1, 51]], [[1, 29], [1, -29]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, 45]], [[1, 27], [1, -27]], [[-1, 1], [-1, 63]], [[-1, 23], [-1, 41]], [[1, 11], [1, 53]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]]]}
• 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: 67270501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 512, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '512.60901.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '512.60901', 'subgroup_hash': 1842890828095922946, 'subgroup_order': 512, 'subgroup_tex': 'D_{128}:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 67270512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.6729', 'subgroup_hash': 6729, 'subgroup_order': 256, 'subgroup_tex': 'D_{64}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.2.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.6729', 'subgroup_hash': 6729, 'subgroup_order': 256, 'subgroup_tex': 'D_{64}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270534
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 256, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.537', 'subgroup_hash': 537, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.540', 'subgroup_hash': 540, 'subgroup_order': 256, 'subgroup_tex': '\\SD_{256}', 'supersolvable': True, 'sylow': 0}
  • id: 67270556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.2.c1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.540', 'subgroup_hash': 540, 'subgroup_order': 256, 'subgroup_tex': '\\SD_{256}', 'supersolvable': True, 'sylow': 0}
  • id: 67270567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': True, 'core_order': 256, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1.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': '256.539', 'subgroup_hash': 539, 'subgroup_order': 256, 'subgroup_tex': 'D_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': True, 'core_order': 256, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.e1.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': '256.541', 'subgroup_hash': 541, 'subgroup_order': 256, 'subgroup_tex': 'Q_{256}', 'supersolvable': True, 'sylow': 0}
  • id: 67270575
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['U1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.159', 'subgroup_hash': 159, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.161', 'subgroup_hash': 161, 'subgroup_order': 128, 'subgroup_tex': 'D_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.b1', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.161', 'subgroup_hash': 161, 'subgroup_order': 128, 'subgroup_tex': 'D_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.163', 'subgroup_hash': 163, 'subgroup_order': 128, 'subgroup_tex': 'Q_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.4.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.b1', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.163', 'subgroup_hash': 163, 'subgroup_order': 128, 'subgroup_tex': 'Q_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270506
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.1', 'subgroup_hash': 1, 'subgroup_order': 128, 'subgroup_tex': 'C_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270507
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.1', 'subgroup_hash': 1, 'subgroup_order': 128, 'subgroup_tex': 'C_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.994', 'subgroup_hash': 994, 'subgroup_order': 128, 'subgroup_tex': 'D_{32}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.4.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.994', 'subgroup_hash': 994, 'subgroup_order': 128, 'subgroup_tex': 'D_{32}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.162', 'subgroup_hash': 162, 'subgroup_order': 128, 'subgroup_tex': '\\SD_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.4.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.162', 'subgroup_hash': 162, 'subgroup_order': 128, 'subgroup_tex': '\\SD_{128}', 'supersolvable': True, 'sylow': 0}
  • id: 67270513
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.8.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': '8.3', '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': ['U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.50', 'subgroup_hash': 50, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270514
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270515
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.189', 'subgroup_hash': 189, 'subgroup_order': 64, 'subgroup_tex': 'D_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.189', 'subgroup_hash': 189, 'subgroup_order': 64, 'subgroup_tex': 'D_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.53', 'subgroup_hash': 53, 'subgroup_order': 64, 'subgroup_tex': '\\SD_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.53', 'subgroup_hash': 53, 'subgroup_order': 64, 'subgroup_tex': '\\SD_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.52', 'subgroup_hash': 52, 'subgroup_order': 64, 'subgroup_tex': 'D_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.52', 'subgroup_hash': 52, 'subgroup_order': 64, 'subgroup_tex': 'D_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.54', 'subgroup_hash': 54, 'subgroup_order': 64, 'subgroup_tex': 'Q_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.8.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.54', 'subgroup_hash': 54, 'subgroup_order': 64, 'subgroup_tex': 'Q_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 67270525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.16.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': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': ['U3'], 'split': False, '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: 67270526
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.16.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': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270527
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.16.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': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.19', 'subgroup_hash': 19, 'subgroup_order': 32, 'subgroup_tex': '\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.19', 'subgroup_hash': 19, 'subgroup_order': 32, 'subgroup_tex': '\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.18', 'subgroup_hash': 18, 'subgroup_order': 32, 'subgroup_tex': 'D_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.18', 'subgroup_hash': 18, 'subgroup_order': 32, 'subgroup_tex': 'D_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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': '32.20', 'subgroup_hash': 20, 'subgroup_order': 32, 'subgroup_tex': 'Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.16.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.20', 'subgroup_hash': 20, 'subgroup_order': 32, 'subgroup_tex': 'Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 67270537
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.32.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': '32.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}', 'simple': False, 'solvable': True, 'special_labels': ['U4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 67270538
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270539
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 44, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_8', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 67270542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 67270546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 67270547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.32.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 67270549
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.52', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{32}', 'simple': False, 'solvable': True, 'special_labels': ['U5'], '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: 67270550
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 54, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.64.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.52', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 67270551
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 55, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.64.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{16}', 'simple': False, 'solvable': True, 'special_labels': ['L4', 'C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 67270552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, '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: 67270553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 67270554
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, '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: 67270555
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 67270557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, '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: 67270558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 67270559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, '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: 67270560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.64.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 67270561
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.60901.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.161', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 161, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{64}', '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: 67270562
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 4, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.128.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.161', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 161, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{64}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U6'], '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: 67270563
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 66, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.128.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.991', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 991, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{32}', 'simple': False, 'solvable': True, 'special_labels': ['L5', 'C7'], '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: 67270564
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.128.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, '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: 67270565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.60901.128.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 67270566
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.60901.128.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, '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: 67270568
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.60901.128.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 67270569
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 2, 'counter': 71, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.60901.256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.6726', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6726, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{64}', 'simple': True, 'solvable': True, 'special_labels': ['S', 'L6', 'C8'], '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: 67270570
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.60901.256.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.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': 256, '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: 67270571
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.60901.256.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.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': 256, '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: 67270572
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 74, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.60901.256.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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: 67270573
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.60901', 'ambient_counter': 60901, 'ambient_order': 512, 'ambient_tex': 'D_{128}:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 1, 'counter': 75, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '512.60901.512.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '512.60901', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1842890828095922946, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{128}:C_2', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U7', 'L7', 'D2', 'C9'], '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: 67270501
    {'ambient': '512.60901', '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': '128.b1.a1', 'complements': ['512.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.a1.b1', '2.b1.a1', '2.c1.a1', '2.c1.b1', '2.d1.a1', '2.e1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3133, 3188, 4686, 3440, 3082, 3236, 4686, 3466], 'generators': [1374942198, 4090876929, 1086374205, 3394918609, 4345495809, 4226673689, 4345496064, 2308544888, 66306], 'label': '512.60901.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.a1.b1', '2.b1.a1', '2.c1.a1', '2.c1.b1', '2.d1.a1', '2.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '128.161', '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': '128.161'}
  • id: 67270502
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '2048.ctr', 'aut_weyl_index': 8, 'centralizer': '128.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.c1.a1', '2.d1.a1'], 'contains': ['8.c1.a1', '8.f1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4190, 1214, 7661, 1347, 4122, 1232, 7661, 1358], 'generators': [1374942198, 4090876929, 1086374205, 4226673689, 4345496064, 2308544888, 66306], 'label': '512.60901.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.c1.a1', '2.d1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '256.6726', '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': '128.161'}
  • id: 67270503
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '2048.ctr', 'aut_weyl_index': 8, 'centralizer': '128.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.c1.b1', '2.d1.a1'], 'contains': ['8.c1.a1', '8.f1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4190, 1214, 2339, 3119, 4122, 1232, 2339, 3143], 'generators': [1374942198, 4090876929, 13212113, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.b1', '2.c1.b1', '2.d1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
  • id: 67270504
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '2048.ctr', 'aut_weyl_index': 8, 'centralizer': '128.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.c1.a1', '2.e1.a1'], 'contains': ['8.c1.a1', '8.g1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3389, 2338, 3116, 2234, 3333, 2374, 3116, 2251], 'generators': [1374942198, 4090876929, 3767106, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.b1', '2.c1.a1', '2.e1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '256.6726', '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': '128.161'}
  • id: 67270505
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '2048.ctr', 'aut_weyl_index': 8, 'centralizer': '128.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.c1.b1', '2.e1.a1'], 'contains': ['8.c1.a1', '8.g1.b1'], 'core': '4.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3389, 2338, 6884, 4920, 3333, 2374, 6884, 4957], 'generators': [16908801, 1374942198, 4090876929, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.4.c1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.b1', 'normal_contained_in': ['2.a1.a1', '2.c1.b1', '2.e1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.b1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
  • id: 67270506
    {'ambient': '512.60901', 'aut_centralizer_order': 256, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '64.50', 'aut_weyl_index': 256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.c1.a1', '2.c1.b1'], 'contains': ['8.c1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [336, 3511, 3925, 5844, 331, 3564, 3926, 5888], 'generators': [1374942198, 4090876929, 1086374205, 4226673689, 967551810, 4345496064, 2308544888], 'label': '512.60901.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.a1', '2.c1.a1', '2.c1.b1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270507
    {'ambient': '512.60901', 'aut_centralizer_order': 256, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '64.50', 'aut_weyl_index': 256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.c1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1164, 4671, 4728, 3996, 1145, 4742, 4727, 4027], 'generators': [1374942198, 4090876929, 1086374205, 3394918609, 4226673689, 4345496064, 2308544888], 'label': '512.60901.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270508
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1024.gd', 'aut_weyl_index': 16, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1', '8.g1.b1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6083, -1, 9495, -1, 5983, -1, 9495, -1], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 2308544888, 66306], 'label': '512.60901.4.f1.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.f1.a1', 'projective_image': '128.161', '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': '64.52'}
  • id: 67270544
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '32.43', 'aut_weyl_index': 512, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.e1.a1', '16.f1.a1'], 'contains': ['64.c1.a1', '64.f1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7243, -1, 7553, -1, 7124, -1, 7553, -1], 'generators': [4090876929, 1086374205, 4345496064, 66306], 'label': '512.60901.32.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '32.f1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 67270509
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1024.gd', 'aut_weyl_index': 16, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.a1.a1', '8.d1.b1', '8.e1.b1', '8.f1.b1', '8.g1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6083, -1, 505, -1, 5983, -1, 504, -1], 'generators': [4090876929, 13212113, 1086374205, 4345495809, 4226673689, 4345496064, 2308544888], 'label': '512.60901.4.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '4.f1.b1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.b1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
  • id: 67270510
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1024.dng', 'aut_weyl_index': 16, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.f1.a1', '8.g1.b1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5026, -1, 8471, -1, 4944, -1, 8471, -1], 'generators': [4090876929, 1086374205, 2987528533, 4226673689, 4345496064, 2308544888, 66306], 'label': '512.60901.4.g1.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.g1.a1', 'projective_image': '256.6726', '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': '64.52'}
  • id: 67270511
    {'ambient': '512.60901', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1024.dng', 'aut_weyl_index': 16, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.b1.a1', '8.f1.b1', '8.g1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5026, -1, 1529, -1, 4944, -1, 1529, -1], 'generators': [4090876929, 13212113, 1086374205, 2987528533, 4226673689, 4345496064, 2308544888], 'label': '512.60901.4.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '4.g1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.b1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
  • id: 67270512
    {'ambient': '512.60901', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '128.b1.a1', 'complements': ['256.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.b1', '4.f1.a1', '4.g1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5026, 3188, 7901, 3440, 4944, 3236, 7901, 3466], 'generators': [1374942198, 4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 2308544888, 66306], 'label': '512.60901.2.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.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
  • id: 67270513
    {'ambient': '512.60901', 'aut_centralizer_order': 512, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.36', 'aut_weyl_index': 512, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.f1.b1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3448, 6226, 5843, 7069, 3392, 6320, 5843, 7123], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 2308544888], 'label': '512.60901.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270514
    {'ambient': '512.60901', 'aut_centralizer_order': 512, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 512, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.g1.a1', '4.g1.b1'], 'contains': ['16.c1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2375, 4719, 4802, 5881, 2336, 4790, 4801, 5926], 'generators': [4090876929, 1086374205, 2987528533, 4226673689, 4345496064, 2308544888], 'label': '512.60901.8.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': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270515
    {'ambient': '512.60901', 'aut_centralizer_order': 512, 'aut_label': '8.c1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 512, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1624, 3595, 4074, 4458, 1598, 3649, 4074, 4492], 'generators': [1374942198, 4090876929, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.e1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270516
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '256.26455', 'aut_weyl_index': 64, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '16.f1.a1', '16.g1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7013, -1, 9298, -1, 6898, -1, 9297, -1], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 66306], 'label': '512.60901.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '8.d1.a1', 'projective_image': '128.161', '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': '32.18'}
  • id: 67270517
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '256.26455', 'aut_weyl_index': 64, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1'], 'contains': ['16.a1.a1', '16.d1.b1', '16.e1.b1', '16.f1.b1', '16.g1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7013, -1, 925, -1, 6898, -1, 926, -1], 'generators': [4090876929, 13212113, 1086374205, 4345495809, 4226673689, 4345496064], 'label': '512.60901.8.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.b1', 'old_label': '8.d1.b1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
  • id: 67270518
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '256.5055', 'aut_weyl_index': 64, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.b1.a1', '16.f1.a1', '16.g1.b1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6083, -1, 8397, -1, 5983, -1, 8396, -1], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 2053925993, 66306], 'label': '512.60901.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '8.e1.a1', 'projective_image': '256.6726', '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': '32.18'}
  • id: 67270519
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '256.5055', 'aut_weyl_index': 64, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1'], 'contains': ['16.b1.a1', '16.f1.b1', '16.g1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6083, -1, 1826, -1, 5983, -1, 1826, -1], 'generators': [4090876929, 13212113, 1086374205, 4226673689, 4345496064, 2053925993], 'label': '512.60901.8.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.b1', 'old_label': '8.e1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
  • id: 67270520
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '512.58302', 'aut_weyl_index': 32, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.c1.a1', '16.f1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5282, -1, 7621, -1, 5195, -1, 7620, -1], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 2308544888, 66306], 'label': '512.60901.8.f1.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.f1.a1', 'projective_image': '256.6726', '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': '64.52'}
  • id: 67270521
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '512.58302', 'aut_weyl_index': 32, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '4.f1.b1', '4.g1.b1'], 'contains': ['16.c1.a1', '16.f1.b1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5282, -1, 2604, -1, 5195, -1, 2603, -1], 'generators': [4090876929, 13212113, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.8.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '8.f1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.b1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
  • id: 67270522
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '512.58302', 'aut_weyl_index': 32, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.f1.b1', '4.g1.b1'], 'contains': ['16.c1.a1', '16.g1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4523, -1, 3339, -1, 4449, -1, 3339, -1], 'generators': [4090876929, 3767106, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '8.g1.a1', 'projective_image': '256.6726', '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': '64.52'}
  • id: 67270523
    {'ambient': '512.60901', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '128.b1.a1', 'complements': ['256.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.b1', '4.c1.a1', '4.f1.b1', '4.g1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5026, 3188, 1926, 4759, 4944, 3236, 1926, 4796], 'generators': [1374942198, 4090876929, 13212113, 1086374205, 4345495809, 4226673689, 4345496064, 2308544888], 'label': '512.60901.2.a1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.b1', '4.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.b1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
  • id: 67270524
    {'ambient': '512.60901', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '512.58302', 'aut_weyl_index': 32, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.c1.a1', '16.g1.b1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4523, -1, 6884, -1, 4449, -1, 6884, -1], 'generators': [16908801, 4090876929, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.8.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.g1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.b1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
  • id: 67270525
    {'ambient': '512.60901', 'aut_centralizer_order': 1024, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1024, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4523, 7279, 5843, 7898, 4449, 7389, 5843, 7958], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064], 'label': '512.60901.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '32.c1.a1', '32.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270526
    {'ambient': '512.60901', 'aut_centralizer_order': 1024, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.5', 'aut_weyl_index': 1024, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.e1.a1', '8.e1.b1'], 'contains': ['32.c1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3448, 5771, 4802, 6710, 3392, 5859, 4801, 6762], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 2053925993], 'label': '512.60901.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270527
    {'ambient': '512.60901', 'aut_centralizer_order': 1024, 'aut_label': '16.c1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '16.5', 'aut_weyl_index': 1024, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.f1.a1', '8.f1.b1', '8.g1.a1', '8.g1.b1'], 'contains': ['32.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2699, 4719, 4074, 5881, 2654, 4790, 4074, 5926], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.b1.a1'], 'normal_contains': ['32.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270528
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '64.254', 'aut_weyl_index': 256, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.a1.a1', '32.d1.a1', '32.e1.a1', '32.f1.a1', '32.g1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7967, -1, 9182, -1, 7837, -1, 9182, -1], 'generators': [4090876929, 1086374205, 4345495809, 4345496064, 66306], 'label': '512.60901.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '16.d1.a1', 'projective_image': '128.161', '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': '16.7'}
  • id: 67270529
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '64.254', 'aut_weyl_index': 256, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1'], 'contains': ['32.a1.a1', '32.d1.b1', '32.e1.b1', '32.f1.b1', '32.g1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7967, -1, 1041, -1, 7837, -1, 1041, -1], 'generators': [4090876929, 13212113, 1086374205, 4345495809, 4345496064], 'label': '512.60901.16.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.b1', 'old_label': '16.d1.b1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 67270530
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '64.123', 'aut_weyl_index': 256, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.b1.a1', '32.f1.a1', '32.g1.b1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7157, -1, 8397, -1, 7040, -1, 8396, -1], 'generators': [135796776, 4090876929, 1086374205, 4345496064, 66306], 'label': '512.60901.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '16.e1.a1', 'projective_image': '256.6726', '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': '16.7'}
  • id: 67270531
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '64.123', 'aut_weyl_index': 256, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1'], 'contains': ['32.b1.a1', '32.f1.b1', '32.g1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7157, -1, 1826, -1, 7040, -1, 1826, -1], 'generators': [135796776, 4090876929, 13212113, 1086374205, 4345496064], 'label': '512.60901.16.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.b1', 'old_label': '16.e1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 67270532
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '128.913', 'aut_weyl_index': 128, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.e1.a1', '8.f1.a1'], 'contains': ['32.c1.a1', '32.f1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6356, -1, 7621, -1, 6252, -1, 7620, -1], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 66306], 'label': '512.60901.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.f1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
  • id: 67270533
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '128.913', 'aut_weyl_index': 128, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.e1.b1', '8.f1.b1'], 'contains': ['32.c1.a1', '32.f1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6356, -1, 2604, -1, 6252, -1, 2603, -1], 'generators': [4090876929, 13212113, 1086374205, 4226673689, 4345496064], 'label': '512.60901.16.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.b1', 'old_label': '16.f1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.b1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
  • id: 67270534
    {'ambient': '512.60901', 'aut_centralizer_order': 128, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.988', 'aut_weyl_index': 128, 'centralizer': '2.b1.a1', 'complements': ['256.c1.a1', '256.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1104, 6226, 5802, 7248, 1086, 6320, 5801, 7303], 'generators': [1374942198, 4090876929, 1086374205, 3394918609, 4345495809, 4226673689, 4345496064, 2308544888], 'label': '512.60901.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '128.161', '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': '2.1'}
  • id: 67270535
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '128.913', 'aut_weyl_index': 128, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.e1.b1', '8.g1.a1'], 'contains': ['32.c1.a1', '32.g1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5597, -1, 3339, -1, 5505, -1, 3339, -1], 'generators': [4090876929, 3767106, 1086374205, 4226673689, 4345496064], 'label': '512.60901.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.b1', 'old_label': '16.g1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
  • id: 67270536
    {'ambient': '512.60901', 'aut_centralizer_order': 16, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '128.913', 'aut_weyl_index': 128, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.e1.a1', '8.g1.b1'], 'contains': ['32.c1.a1', '32.g1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5597, -1, 6884, -1, 5505, -1, 6884, -1], 'generators': [16908801, 4090876929, 1086374205, 4226673689, 4345496064], 'label': '512.60901.16.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.g1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.b1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
  • id: 67270537
    {'ambient': '512.60901', 'aut_centralizer_order': 2048, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.d1.a1', '16.d1.b1'], 'contains': ['64.a1.a1', '64.b1.a1', '64.c1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5588, 8163, 5950, 8595, 5497, 8287, 5950, 8661], 'generators': [4090876929, 1086374205, 4345495809, 4345496064], 'label': '512.60901.32.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '64.c1.a1', '64.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270538
    {'ambient': '512.60901', 'aut_centralizer_order': 2048, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 2048, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.e1.a1', '16.e1.b1'], 'contains': ['64.c1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4634, 6824, 5025, 7540, 4558, 6927, 5025, 7597], 'generators': [135796776, 4090876929, 1086374205, 4345496064], 'label': '512.60901.32.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270539
    {'ambient': '512.60901', 'aut_centralizer_order': 2048, 'aut_label': '32.c1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 2048, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.f1.a1', '16.f1.b1', '16.g1.a1', '16.g1.b1'], 'contains': ['64.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3884, 5771, 4297, 6710, 3820, 5859, 4297, 6762], 'generators': [4090876929, 1086374205, 4226673689, 4345496064], 'label': '512.60901.32.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270540
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1024, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1'], 'contains': ['64.a1.a1', '64.d1.a1', '64.e1.a1', '64.f1.a1', '64.g1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8777, -1, 9042, -1, 8634, -1, 9041, -1], 'generators': [4090876929, 4345495809, 4345496064, 66306], 'label': '512.60901.32.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '32.d1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270541
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1024, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1'], 'contains': ['64.a1.a1', '64.d1.b1', '64.e1.b1', '64.f1.b1', '64.g1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8777, -1, 1404, -1, 8634, -1, 1405, -1], 'generators': [4090876929, 13212113, 4345495809, 4345496064], 'label': '512.60901.32.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.b1', 'old_label': '32.d1.b1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270542
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1024, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1'], 'contains': ['64.b1.a1', '64.f1.a1', '64.g1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7967, -1, 8257, -1, 7837, -1, 8256, -1], 'generators': [4090876929, 4345496064, 3276096702, 66306], 'label': '512.60901.32.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '32.e1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270543
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1024, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1'], 'contains': ['64.b1.a1', '64.f1.b1', '64.g1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7967, -1, 2191, -1, 7837, -1, 2190, -1], 'generators': [4090876929, 13212113, 4345496064, 3276096702], 'label': '512.60901.32.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.b1', 'old_label': '32.e1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270545
    {'ambient': '512.60901', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '128.b1.a1', 'complements': ['256.b1.a1', '256.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.d1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3133, 533, 3835, 1347, 3082, 540, 3835, 1358], 'generators': [1374942198, 4090876929, 1086374205, 4226673689, 967551810, 4345496064, 2308544888, 66306], 'label': '512.60901.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '256.6726', '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': '128.161'}
  • id: 67270546
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '32.43', 'aut_weyl_index': 512, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '16.e1.b1', '16.f1.b1'], 'contains': ['64.c1.a1', '64.f1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7243, -1, 2893, -1, 7124, -1, 2892, -1], 'generators': [4090876929, 13212113, 1086374205, 4345496064], 'label': '512.60901.32.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.b1', 'old_label': '32.f1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 67270547
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '32.43', 'aut_weyl_index': 512, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '16.e1.b1', '16.g1.a1'], 'contains': ['64.c1.a1', '64.g1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [6553, -1, 3562, -1, 6445, -1, 3562, -1], 'generators': [4090876929, 3767106, 1086374205, 4345496064], 'label': '512.60901.32.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.b1', 'old_label': '32.g1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 67270548
    {'ambient': '512.60901', 'aut_centralizer_order': 32, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '32.43', 'aut_weyl_index': 512, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.e1.a1', '16.g1.b1'], 'contains': ['64.c1.a1', '64.g1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [6553, -1, 6884, -1, 6445, -1, 6884, -1], 'generators': [16908801, 4090876929, 1086374205, 4345496064], 'label': '512.60901.32.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '32.g1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 67270549
    {'ambient': '512.60901', 'aut_centralizer_order': 4096, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.d1.a1', '32.d1.b1'], 'contains': ['128.a1.a1', '128.b1.a1', '128.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6663, 8929, 5967, 9199, 6554, 9065, 5967, 9269], 'generators': [4090876929, 4345495809, 4345496064], 'label': '512.60901.64.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '128.b1.a1', '128.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270550
    {'ambient': '512.60901', 'aut_centralizer_order': 4096, 'aut_label': '64.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.e1.a1', '32.e1.b1'], 'contains': ['128.c1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5776, 7686, 5108, 8218, 5681, 7802, 5107, 8281], 'generators': [4090876929, 4345496064, 3276096702], 'label': '512.60901.64.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.b1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270551
    {'ambient': '512.60901', 'aut_centralizer_order': 4096, 'aut_label': '64.c1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.f1.a1', '32.f1.b1', '32.g1.a1', '32.g1.b1'], 'contains': ['128.c1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5163, 6824, 4513, 7540, 5078, 6927, 4512, 7597], 'generators': [4090876929, 1086374205, 4345496064], 'label': '512.60901.64.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.c1.a1', 'normal_contained_in': ['32.a1.a1', '32.c1.a1', '32.b1.a1'], 'normal_contains': ['128.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.c1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270552
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1'], 'contains': ['128.a1.a1', '128.d1.a1', '128.e1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8777, -1, 9165, -1, 8634, -1, 9174, -1], 'generators': [4345495809, 4345496064, 66306], 'label': '512.60901.64.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '64.d1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 67270553
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1'], 'contains': ['128.a1.a1', '128.d1.b1', '128.e1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8777, -1, 2372, -1, 8634, -1, 2372, -1], 'generators': [13212113, 4345495809, 4345496064], 'label': '512.60901.64.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.b1', 'old_label': '64.d1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 67270554
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1'], 'contains': ['128.b1.a1', '128.d1.a1', '128.e1.b1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [9664, -1, 8306, -1, 9505, -1, 8314, -1], 'generators': [4345496064, 271593504, 66306], 'label': '512.60901.64.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '64.e1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270555
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '64.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1'], 'contains': ['128.b1.a1', '128.d1.b1', '128.e1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [9664, -1, 1513, -1, 9505, -1, 1512, -1], 'generators': [13212113, 4345496064, 271593504], 'label': '512.60901.64.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.b1', 'old_label': '64.e1.b1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270556
    {'ambient': '512.60901', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '128.b1.a1', 'complements': ['256.c1.a1', '256.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.b1', '4.c1.b1', '4.d1.a1'], 'core': '2.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3133, 533, 2950, 5928, 3082, 540, 2950, 5973], 'generators': [16908801, 1374942198, 4090876929, 13212113, 1086374205, 4226673689, 4345496064, 2308544888], 'label': '512.60901.2.c1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.b1', '4.c1.b1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.b1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.b1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
  • id: 67270557
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2048, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.e1.a1', '32.f1.a1'], 'contains': ['128.c1.a1', '128.d1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8163, -1, 7446, -1, 8030, -1, 7454, -1], 'generators': [4090876929, 4345496064, 66306], 'label': '512.60901.64.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '64.f1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270558
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2048, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1', '32.e1.b1', '32.f1.b1'], 'contains': ['128.c1.a1', '128.d1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8163, -1, 2967, -1, 8030, -1, 2967, -1], 'generators': [4090876929, 13212113, 4345496064], 'label': '512.60901.64.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.b1', 'old_label': '64.f1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270559
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2048, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1', '32.e1.b1', '32.g1.a1'], 'contains': ['128.c1.a1', '128.e1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7550, -1, 3562, -1, 7426, -1, 3562, -1], 'generators': [4090876929, 3767106, 4345496064], 'label': '512.60901.64.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.b1', 'old_label': '64.g1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270560
    {'ambient': '512.60901', 'aut_centralizer_order': 64, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2048, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.e1.a1', '32.g1.b1'], 'contains': ['128.c1.a1', '128.e1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7550, -1, 6851, -1, 7426, -1, 6859, -1], 'generators': [16908801, 4090876929, 4345496064], 'label': '512.60901.64.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '64.g1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 67270561
    {'ambient': '512.60901', 'aut_centralizer_order': 8192, 'aut_label': '128.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.d1.a1', '64.d1.b1'], 'contains': ['256.a1.a1', '256.b1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7320, 9467, 6265, 9623, 7200, 9611, 6281, 9696], 'generators': [4345495809, 4345496064], 'label': '512.60901.128.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.1', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270562
    {'ambient': '512.60901', 'aut_centralizer_order': 8192, 'aut_label': '128.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.e1.a1', '64.e1.b1'], 'contains': ['256.a1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7976, 8547, 5628, 8897, 7845, 8676, 5644, 8965], 'generators': [4345496064, 271593504], 'label': '512.60901.128.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.b1.a1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.b1.a1', 'projective_image': '128.161', 'quotient_action_image': '1.1', 'quotient_action_kernel': '128.161', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '128.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67270563
    {'ambient': '512.60901', 'aut_centralizer_order': 8192, 'aut_label': '128.c1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.f1.a1', '64.f1.b1', '64.g1.a1', '64.g1.b1'], 'contains': ['256.a1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6663, 7686, 5034, 8218, 6554, 7802, 5049, 8281], 'generators': [4090876929, 4345496064], 'label': '512.60901.128.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.c1.a1', 'normal_contained_in': ['64.a1.a1', '64.c1.a1', '64.b1.a1'], 'normal_contains': ['256.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.c1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.50', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270564
    {'ambient': '512.60901', 'aut_centralizer_order': 128, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '64.e1.a1', '64.f1.a1'], 'contains': ['256.a1.a1', '256.c1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [9246, -1, 7538, -1, 9094, -1, 7553, -1], 'generators': [4345496064, 66306], 'label': '512.60901.128.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '128.d1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270565
    {'ambient': '512.60901', 'aut_centralizer_order': 128, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '64.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.b1', '64.e1.b1', '64.f1.b1'], 'contains': ['256.a1.a1', '256.c1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [9246, -1, 2926, -1, 9094, -1, 2926, -1], 'generators': [13212113, 4345496064], 'label': '512.60901.128.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.b1', 'old_label': '128.d1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270566
    {'ambient': '512.60901', 'aut_centralizer_order': 128, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '64.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.b1', '64.e1.b1', '64.g1.a1'], 'contains': ['256.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8590, -1, 3562, -1, 8449, -1, 3562, -1], 'generators': [3767106, 4345496064], 'label': '512.60901.128.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.b1', 'old_label': '128.e1.a1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270567
    {'ambient': '512.60901', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '128.b1.a1', 'complements': ['256.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.b1.b1', '4.e1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4011, 1764, 6917, 377, 3946, 1791, 6917, 380], 'generators': [1374942198, 4090876929, 1086374205, 3394918609, 4226673689, 4345496064, 2308544888, 66306], 'label': '512.60901.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.b1.b1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
  • id: 67270568
    {'ambient': '512.60901', 'aut_centralizer_order': 128, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '64.e1.a1', '64.g1.b1'], 'contains': ['256.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8590, -1, 6901, -1, 8449, -1, 6917, -1], 'generators': [16908801, 4345496064], 'label': '512.60901.128.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '128.e1.b1', 'projective_image': '256.6726', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 67270569
    {'ambient': '512.60901', 'aut_centralizer_order': 16384, 'aut_label': '256.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '128.d1.a1', '128.d1.b1', '128.e1.a1', '128.e1.b1'], 'contains': ['512.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7976, 8547, 5637, 8897, 7845, 8676, 5653, 8965], 'generators': [4345496064], 'label': '512.60901.256.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '256.a1.a1', 'normal_contained_in': ['128.a1.a1', '128.b1.a1', '128.c1.a1'], 'normal_contains': ['512.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '256.a1.a1', 'projective_image': '256.6726', 'quotient_action_image': '1.1', 'quotient_action_kernel': '256.6726', 'quotient_action_kernel_order': 256, 'quotient_fusion': None, 'short_label': '256.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67270570
    {'ambient': '512.60901', 'aut_centralizer_order': 8192, 'aut_label': '256.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16384, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1'], 'contains': ['512.a1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7345, -1, 6248, -1, 7224, -1, 6264, -1], 'generators': [4345495809], 'label': '512.60901.256.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '128.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '256.b1.a1', 'projective_image': '512.60901', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67270571
    {'ambient': '512.60901', 'aut_centralizer_order': 128, 'aut_label': '256.c1', 'aut_quo_index': None, 'aut_stab_index': 128, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16384, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.a1'], 'contains': ['512.a1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [8922, -1, 7190, -1, 8768, -1, 7206, -1], 'generators': [66306], 'label': '512.60901.256.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.e1.a1', 'old_label': '256.c1.a1', 'projective_image': '512.60901', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67270572
    {'ambient': '512.60901', 'aut_centralizer_order': 128, 'aut_label': '256.c1', 'aut_quo_index': None, 'aut_stab_index': 128, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16384, 'centralizer': '64.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.b1'], 'contains': ['512.a1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [8922, -1, 4000, -1, 8768, -1, 4050, -1], 'generators': [13212113], 'label': '512.60901.256.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.e1.b1', 'old_label': '256.c1.b1', 'projective_image': '512.60901', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67270573
    {'ambient': '512.60901', 'aut_centralizer_order': None, 'aut_label': '512.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': ['256.a1.a1', '256.b1.a1', '256.c1.a1', '256.c1.b1'], 'contains': [], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7976, 8547, 5934, 8897, 7845, 8676, 5950, 8965], 'generators': [], 'label': '512.60901.512.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '512.a1.a1', 'normal_contained_in': ['256.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '512.a1.a1', 'projective_image': '512.60901', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 67270574
    {'ambient': '512.60901', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '128.b1.a1', 'complements': ['256.c1.a1', '256.c1.b1', '256.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.c1.b1', '4.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2256, 4611, 4686, 2319, 2218, 4681, 4686, 2336], 'generators': [16908801, 1374942198, 4090876929, 1086374205, 3394918609, 4226673689, 4345496064, 2308544888], 'label': '512.60901.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.c1.b1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '256.6726', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
  • id: 67270575
    {'ambient': '512.60901', 'aut_centralizer_order': 256, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.b1', '2.b1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2272, 6226, 5802, 7069, 2235, 6320, 5801, 7123], 'generators': [1374942198, 4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 2308544888], 'label': '512.60901.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.a1.b1', '2.b1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}