Abstract group data - 1216.338

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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': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 684, 'aut_gen_orders': [36, 36, 6, 36, 18, 18], 'aut_gens': [[1, 4, 16, 32], [609, 684, 16, 120], [25, 940, 16, 936], [1, 1044, 16, 992], [619, 884, 16, 816], [635, 388, 16, 440], [27, 548, 16, 1056]], 'aut_group': None, 'aut_hash': 4163847309517799214, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 43776, 'aut_permdeg': 168, 'aut_perms': [181515570624145411778724422382002539441218259132739631230107667236592850735707529163328019869788079883051487730848662448901963700769735306310392925459430436119872588276456145105895182426357029365351063913100481964908686212425354252632296239568586422605340073994366313665040881333598845289789765779808616, 145217760728617854590718660456379754937714857545600524655322907644225145479824959146276215420660741762890245740024773014037044214072184326975397346189751173295817408196225461936960331636317876164750183402240255801187445337525411166576435356300090183046139107488679601158971363292703766936526765774119263, 237464837476083496705169925277540012713503621832459644445740534600651012030328413149222908274458587103919069460309181065479097017174851470369779422868188878398901733293528499571087721693873015768338402122507852925405996251344742333268370818388338004522069871978741543428142322297148560254205771703026543, 207227822966692097199146526011694633522168418432050314587772173130199179518390263341342405241531957035418149401696240414159750193361778994010719731731800978166160927576027504164310800689160756536469942082878904482866797263389241179299679334771405606450819688086091942003231652934441312820788389045282231, 58983839904519093499798244506377957875994765664650901449755015292231849436748543690585910608054490070812699492083901527269543843250900043762163836326981302760988600294434667491601999828838967573621487258507552069435270792182058874720393787811392308070998733022746938783162425236773685682732270025456968, 166390296405138745044209318179926083871443109339843828085961601717279608592525248254340922450799016848013646174631731721630953934257614352277243468508155892774895588045080452914539579983589030643766703497665190020443869768858467537270981035472842334277380674183495477911686990042026473726958785660518463], 'aut_phi_ratio': 76.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 2], [4, 4, 1, 1], [4, 8, 2, 1], [4, 76, 2, 1], [4, 152, 1, 1], [8, 152, 2, 1], [19, 2, 9, 1], [38, 2, 9, 1], [38, 4, 9, 1], [38, 4, 18, 1], [38, 8, 9, 1], [76, 8, 9, 1], [76, 8, 36, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{19}.(C_{18}\\times D_4).C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 684, 'autcentquo_group': None, 'autcentquo_hash': 5267639317086932660, 'autcentquo_nilpotent': False, 'autcentquo_order': 10944, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{38}.C_{18}.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 4, 2], [4, 4, 1], [4, 8, 2], [4, 76, 2], [4, 152, 1], [8, 152, 2], [19, 2, 9], [38, 2, 9], [38, 4, 27], [38, 8, 9], [76, 8, 45]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '608.12', 'commutator_count': 1, 'commutator_label': '152.12', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '19.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 338, '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, 4, 1, 2], [4, 4, 1, 1], [4, 8, 2, 1], [4, 76, 2, 1], [4, 152, 1, 1], [8, 152, 2, 1], [19, 2, 9, 1], [38, 2, 9, 1], [38, 4, 9, 1], [38, 4, 18, 1], [38, 8, 9, 1], [76, 8, 9, 1], [76, 8, 36, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 12, 'exponent': 152, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3, 19], 'factors_of_order': [2, 19], 'faithful_reps': [[8, -1, 9]], 'familial': False, 'frattini_label': '16.11', 'frattini_quotient': '76.3', 'hash': 338, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 76, 'inner_gen_orders': [4, 4, 1, 38], 'inner_gens': [[1, 636, 16, 40], [633, 4, 16, 1200], [1, 4, 16, 32], [9, 84, 16, 32]], 'inner_hash': 12, 'inner_nilpotent': False, 'inner_order': 608, 'inner_split': True, 'inner_tex': 'C_2^2.D_{76}', 'inner_used': [1, 2, 4], 'irrC_degree': 8, 'irrQ_degree': 72, 'irrQ_dim': 144, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 74], [4, 21], [8, 9]], 'label': '1216.338', 'linC_count': 144, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 26, 'linQ_degree_count': 2, 'linQ_dim': 26, 'linQ_dim_count': 2, 'linR_count': 36, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C2*C4).D76', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 17, 'number_characteristic_subgroups': 21, 'number_conjugacy_classes': 112, 'number_divisions': 17, 'number_normal_subgroups': 21, 'number_subgroup_autclasses': 68, 'number_subgroup_classes': 68, 'number_subgroups': 720, 'old_label': None, 'order': 1216, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 11], [4, 324], [8, 304], [19, 18], [38, 198], [76, 360]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 18, 'outer_gen_orders': [2, 2, 18], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[17, 4, 16, 1184], [1, 20, 16, 1184], [19, 4, 16, 1064]], 'outer_group': '72.18', 'outer_hash': 18, 'outer_nilpotent': True, 'outer_order': 72, 'outer_permdeg': 15, 'outer_perms': [3628800, 87178291200, 479047833], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_{18}', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 35, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 1], [8, 1], [18, 2], [36, 3], [72, 2]], 'representations': {'PC': {'code': 8142243281486067282568728787900639876550295185, 'gens': [1, 3, 5, 6], 'pres': [7, -2, -2, -2, -2, 2, 2, -19, 14, 13358, 303, 58, 675, 1685, 1020, 12619, 124, 14132]}, 'Perm': {'d': 35, 'gens': [305265786932451876686527960333025280000, 626039235110534745818121874373908649647, 930959058485130291477035547660288000000, 642633216447451147508175306655334400000, 1191793584336517157440758184664432640000, 1243893553835625745279592249364480000000, 7116376445267293]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2\\times C_4).D_{76}', 'transitive_degree': 304, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 113548722
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 338, 'group_order': 1216, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 113548746
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 338, 'group_order': 1216, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 16, 'size': 1}
  • id: 113548757
    {'aut_label': '2B', 'centralizer': '2.b1.a1', 'counter': 3, 'group_counter': 338, 'group_order': 1216, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 8, 'size': 2}
  • id: 113548768
    {'aut_label': '2C', 'centralizer': '4.b1.a1', 'counter': 4, 'group_counter': 338, 'group_order': 1216, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 608, 'size': 4}
  • id: 113548779
    {'aut_label': '2D', 'centralizer': '4.d1.a1', 'counter': 5, 'group_counter': 338, 'group_order': 1216, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 2, 'size': 4}
  • id: 113548790
    {'aut_label': '4A', 'centralizer': '4.g1.a1', 'counter': 6, 'group_counter': 338, 'group_order': 1216, 'label': '4A', 'order': 4, 'powers': [2, 6, 6], 'representative': 626, 'size': 4}
  • id: 113548801
    {'aut_label': '4B1', 'centralizer': '8.h1.a1', 'counter': 7, 'group_counter': 338, 'group_order': 1216, 'label': '4B1', 'order': 4, 'powers': [5, 8, 8], 'representative': 3, 'size': 8}
  • id: 113548812
    {'aut_label': '4B1', 'centralizer': '8.h1.a1', 'counter': 8, 'group_counter': 338, 'group_order': 1216, 'label': '4B-1', 'order': 4, 'powers': [5, 7, 7], 'representative': 1, 'size': 8}
  • id: 113548823
    {'aut_label': '4C1', 'centralizer': '76.b1.a1', 'counter': 9, 'group_counter': 338, 'group_order': 1216, 'label': '4C1', 'order': 4, 'powers': [2, 10, 10], 'representative': 22, 'size': 76}
  • id: 113548723
    {'aut_label': '4C1', 'centralizer': '76.b1.a1', 'counter': 10, 'group_counter': 338, 'group_order': 1216, 'label': '4C-1', 'order': 4, 'powers': [2, 9, 9], 'representative': 6, 'size': 76}
  • id: 113548734
    {'aut_label': '4D', 'centralizer': '152.e1.a1', 'counter': 11, 'group_counter': 338, 'group_order': 1216, 'label': '4D', 'order': 4, 'powers': [3, 11, 11], 'representative': 60, 'size': 152}
  • id: 113548738
    {'aut_label': '8A1', 'centralizer': '152.i1.a1', 'counter': 12, 'group_counter': 338, 'group_order': 1216, 'label': '8A1', 'order': 8, 'powers': [6, 13, 13], 'representative': 1149, 'size': 152}
  • id: 113548739
    {'aut_label': '8A1', 'centralizer': '152.i1.a1', 'counter': 13, 'group_counter': 338, 'group_order': 1216, 'label': '8A-1', 'order': 8, 'powers': [6, 12, 12], 'representative': 527, 'size': 152}
  • id: 113548740
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 338, 'group_order': 1216, 'label': '19A1', 'order': 19, 'powers': [15, 16, 1], 'representative': 128, 'size': 2}
  • id: 113548741
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 338, 'group_order': 1216, 'label': '19A2', 'order': 19, 'powers': [17, 19, 1], 'representative': 256, 'size': 2}
  • id: 113548742
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 338, 'group_order': 1216, 'label': '19A3', 'order': 19, 'powers': [19, 22, 1], 'representative': 384, 'size': 2}
  • id: 113548743
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 338, 'group_order': 1216, 'label': '19A4', 'order': 19, 'powers': [21, 20, 1], 'representative': 512, 'size': 2}
  • id: 113548744
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 338, 'group_order': 1216, 'label': '19A5', 'order': 19, 'powers': [22, 17, 1], 'representative': 640, 'size': 2}
  • id: 113548745
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 338, 'group_order': 1216, 'label': '19A6', 'order': 19, 'powers': [20, 14, 1], 'representative': 768, 'size': 2}
  • id: 113548747
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 338, 'group_order': 1216, 'label': '19A7', 'order': 19, 'powers': [18, 15, 1], 'representative': 896, 'size': 2}
  • id: 113548748
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 338, 'group_order': 1216, 'label': '19A8', 'order': 19, 'powers': [16, 18, 1], 'representative': 1024, 'size': 2}
  • id: 113548749
    {'aut_label': '19A1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 338, 'group_order': 1216, 'label': '19A9', 'order': 19, 'powers': [14, 21, 1], 'representative': 1152, 'size': 2}
  • id: 113548750
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 338, 'group_order': 1216, 'label': '38A1', 'order': 38, 'powers': [14, 24, 2], 'representative': 80, 'size': 2}
  • id: 113548751
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 338, 'group_order': 1216, 'label': '38A3', 'order': 38, 'powers': [16, 27, 2], 'representative': 208, 'size': 2}
  • id: 113548752
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 338, 'group_order': 1216, 'label': '38A5', 'order': 38, 'powers': [18, 30, 2], 'representative': 336, 'size': 2}
  • id: 113548753
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 338, 'group_order': 1216, 'label': '38A7', 'order': 38, 'powers': [20, 31, 2], 'representative': 464, 'size': 2}
  • id: 113548754
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 338, 'group_order': 1216, 'label': '38A9', 'order': 38, 'powers': [22, 28, 2], 'representative': 592, 'size': 2}
  • id: 113548755
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 338, 'group_order': 1216, 'label': '38A11', 'order': 38, 'powers': [21, 25, 2], 'representative': 720, 'size': 2}
  • id: 113548756
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 338, 'group_order': 1216, 'label': '38A13', 'order': 38, 'powers': [19, 23, 2], 'representative': 848, 'size': 2}
  • id: 113548758
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 338, 'group_order': 1216, 'label': '38A15', 'order': 38, 'powers': [17, 26, 2], 'representative': 976, 'size': 2}
  • id: 113548759
    {'aut_label': '38A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 338, 'group_order': 1216, 'label': '38A17', 'order': 38, 'powers': [15, 29, 2], 'representative': 1104, 'size': 2}
  • id: 113548760
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 32, 'group_counter': 338, 'group_order': 1216, 'label': '38B1', 'order': 38, 'powers': [14, 33, 3], 'representative': 72, 'size': 4}
  • id: 113548761
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 33, 'group_counter': 338, 'group_order': 1216, 'label': '38B3', 'order': 38, 'powers': [16, 36, 3], 'representative': 200, 'size': 4}
  • id: 113548762
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 34, 'group_counter': 338, 'group_order': 1216, 'label': '38B5', 'order': 38, 'powers': [18, 39, 3], 'representative': 328, 'size': 4}
  • id: 113548763
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 35, 'group_counter': 338, 'group_order': 1216, 'label': '38B7', 'order': 38, 'powers': [20, 40, 3], 'representative': 456, 'size': 4}
  • id: 113548764
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 36, 'group_counter': 338, 'group_order': 1216, 'label': '38B9', 'order': 38, 'powers': [22, 37, 3], 'representative': 584, 'size': 4}
  • id: 113548765
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 37, 'group_counter': 338, 'group_order': 1216, 'label': '38B11', 'order': 38, 'powers': [21, 34, 3], 'representative': 520, 'size': 4}
  • id: 113548766
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 38, 'group_counter': 338, 'group_order': 1216, 'label': '38B13', 'order': 38, 'powers': [19, 32, 3], 'representative': 392, 'size': 4}
  • id: 113548767
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 39, 'group_counter': 338, 'group_order': 1216, 'label': '38B15', 'order': 38, 'powers': [17, 35, 3], 'representative': 264, 'size': 4}
  • id: 113548769
    {'aut_label': '38B1', 'centralizer': '4.a1.a1', 'counter': 40, 'group_counter': 338, 'group_order': 1216, 'label': '38B17', 'order': 38, 'powers': [15, 38, 3], 'representative': 136, 'size': 4}
  • id: 113548770
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 41, 'group_counter': 338, 'group_order': 1216, 'label': '38C1', 'order': 38, 'powers': [15, 43, 5], 'representative': 130, 'size': 4}
  • id: 113548771
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 42, 'group_counter': 338, 'group_order': 1216, 'label': '38C-1', 'order': 38, 'powers': [15, 44, 5], 'representative': 1090, 'size': 4}
  • id: 113548772
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 43, 'group_counter': 338, 'group_order': 1216, 'label': '38C3', 'order': 38, 'powers': [19, 49, 5], 'representative': 386, 'size': 4}
  • id: 113548773
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 44, 'group_counter': 338, 'group_order': 1216, 'label': '38C-3', 'order': 38, 'powers': [19, 50, 5], 'representative': 834, 'size': 4}
  • id: 113548774
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 45, 'group_counter': 338, 'group_order': 1216, 'label': '38C5', 'order': 38, 'powers': [22, 55, 5], 'representative': 642, 'size': 4}
  • id: 113548775
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 46, 'group_counter': 338, 'group_order': 1216, 'label': '38C-5', 'order': 38, 'powers': [22, 56, 5], 'representative': 578, 'size': 4}
  • id: 113548776
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 47, 'group_counter': 338, 'group_order': 1216, 'label': '38C7', 'order': 38, 'powers': [18, 58, 5], 'representative': 898, 'size': 4}
  • id: 113548777
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 48, 'group_counter': 338, 'group_order': 1216, 'label': '38C-7', 'order': 38, 'powers': [18, 57, 5], 'representative': 322, 'size': 4}
  • id: 113548778
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 49, 'group_counter': 338, 'group_order': 1216, 'label': '38C9', 'order': 38, 'powers': [14, 52, 5], 'representative': 1154, 'size': 4}
  • id: 113548780
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 50, 'group_counter': 338, 'group_order': 1216, 'label': '38C-9', 'order': 38, 'powers': [14, 51, 5], 'representative': 66, 'size': 4}
  • id: 113548781
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 51, 'group_counter': 338, 'group_order': 1216, 'label': '38C11', 'order': 38, 'powers': [16, 46, 5], 'representative': 194, 'size': 4}
  • id: 113548782
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 52, 'group_counter': 338, 'group_order': 1216, 'label': '38C-11', 'order': 38, 'powers': [16, 45, 5], 'representative': 1026, 'size': 4}
  • id: 113548783
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 53, 'group_counter': 338, 'group_order': 1216, 'label': '38C13', 'order': 38, 'powers': [20, 41, 5], 'representative': 450, 'size': 4}
  • id: 113548784
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 54, 'group_counter': 338, 'group_order': 1216, 'label': '38C-13', 'order': 38, 'powers': [20, 42, 5], 'representative': 770, 'size': 4}
  • id: 113548785
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 55, 'group_counter': 338, 'group_order': 1216, 'label': '38C15', 'order': 38, 'powers': [21, 47, 5], 'representative': 706, 'size': 4}
  • id: 113548786
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 56, 'group_counter': 338, 'group_order': 1216, 'label': '38C-15', 'order': 38, 'powers': [21, 48, 5], 'representative': 514, 'size': 4}
  • id: 113548787
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 57, 'group_counter': 338, 'group_order': 1216, 'label': '38C17', 'order': 38, 'powers': [17, 53, 5], 'representative': 962, 'size': 4}
  • id: 113548788
    {'aut_label': '38C1', 'centralizer': '4.d1.a1', 'counter': 58, 'group_counter': 338, 'group_order': 1216, 'label': '38C-17', 'order': 38, 'powers': [17, 54, 5], 'representative': 258, 'size': 4}
  • id: 113548789
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 59, 'group_counter': 338, 'group_order': 1216, 'label': '38D1', 'order': 38, 'powers': [22, 60, 4], 'representative': 32, 'size': 8}
  • id: 113548791
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 60, 'group_counter': 338, 'group_order': 1216, 'label': '38D3', 'order': 38, 'powers': [21, 63, 4], 'representative': 96, 'size': 8}
  • id: 113548792
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 61, 'group_counter': 338, 'group_order': 1216, 'label': '38D5', 'order': 38, 'powers': [20, 66, 4], 'representative': 160, 'size': 8}
  • id: 113548793
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 62, 'group_counter': 338, 'group_order': 1216, 'label': '38D7', 'order': 38, 'powers': [19, 67, 4], 'representative': 224, 'size': 8}
  • id: 113548794
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 63, 'group_counter': 338, 'group_order': 1216, 'label': '38D9', 'order': 38, 'powers': [18, 64, 4], 'representative': 288, 'size': 8}
  • id: 113548795
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 64, 'group_counter': 338, 'group_order': 1216, 'label': '38D11', 'order': 38, 'powers': [17, 61, 4], 'representative': 352, 'size': 8}
  • id: 113548796
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 65, 'group_counter': 338, 'group_order': 1216, 'label': '38D13', 'order': 38, 'powers': [16, 59, 4], 'representative': 416, 'size': 8}
  • id: 113548797
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 66, 'group_counter': 338, 'group_order': 1216, 'label': '38D15', 'order': 38, 'powers': [15, 62, 4], 'representative': 480, 'size': 8}
  • id: 113548798
    {'aut_label': '38D1', 'centralizer': '8.a1.a1', 'counter': 67, 'group_counter': 338, 'group_order': 1216, 'label': '38D17', 'order': 38, 'powers': [14, 65, 4], 'representative': 544, 'size': 8}
  • id: 113548799
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 68, 'group_counter': 338, 'group_order': 1216, 'label': '76A1', 'order': 76, 'powers': [23, 69, 6], 'representative': 34, 'size': 8}
  • id: 113548800
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 69, 'group_counter': 338, 'group_order': 1216, 'label': '76A3', 'order': 76, 'powers': [24, 72, 6], 'representative': 98, 'size': 8}
  • id: 113548802
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 70, 'group_counter': 338, 'group_order': 1216, 'label': '76A5', 'order': 76, 'powers': [25, 75, 6], 'representative': 162, 'size': 8}
  • id: 113548803
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 71, 'group_counter': 338, 'group_order': 1216, 'label': '76A7', 'order': 76, 'powers': [26, 76, 6], 'representative': 226, 'size': 8}
  • id: 113548804
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 72, 'group_counter': 338, 'group_order': 1216, 'label': '76A9', 'order': 76, 'powers': [27, 73, 6], 'representative': 290, 'size': 8}
  • id: 113548805
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 73, 'group_counter': 338, 'group_order': 1216, 'label': '76A11', 'order': 76, 'powers': [28, 70, 6], 'representative': 354, 'size': 8}
  • id: 113548806
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 74, 'group_counter': 338, 'group_order': 1216, 'label': '76A13', 'order': 76, 'powers': [29, 68, 6], 'representative': 418, 'size': 8}
  • id: 113548807
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 75, 'group_counter': 338, 'group_order': 1216, 'label': '76A15', 'order': 76, 'powers': [30, 71, 6], 'representative': 482, 'size': 8}
  • id: 113548808
    {'aut_label': '76A1', 'centralizer': '8.c1.a1', 'counter': 76, 'group_counter': 338, 'group_order': 1216, 'label': '76A17', 'order': 76, 'powers': [31, 74, 6], 'representative': 546, 'size': 8}
  • id: 113548809
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 77, 'group_counter': 338, 'group_order': 1216, 'label': '76B1', 'order': 76, 'powers': [41, 79, 7], 'representative': 65, 'size': 8}
  • id: 113548810
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 78, 'group_counter': 338, 'group_order': 1216, 'label': '76B-1', 'order': 76, 'powers': [42, 80, 8], 'representative': 1155, 'size': 8}
  • id: 113548811
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 79, 'group_counter': 338, 'group_order': 1216, 'label': '76B3', 'order': 76, 'powers': [43, 85, 8], 'representative': 195, 'size': 8}
  • id: 113548813
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 80, 'group_counter': 338, 'group_order': 1216, 'label': '76B-3', 'order': 76, 'powers': [44, 86, 7], 'representative': 1025, 'size': 8}
  • id: 113548814
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 81, 'group_counter': 338, 'group_order': 1216, 'label': '76B5', 'order': 76, 'powers': [45, 91, 7], 'representative': 321, 'size': 8}
  • id: 113548815
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 82, 'group_counter': 338, 'group_order': 1216, 'label': '76B-5', 'order': 76, 'powers': [46, 92, 8], 'representative': 899, 'size': 8}
  • id: 113548816
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 83, 'group_counter': 338, 'group_order': 1216, 'label': '76B7', 'order': 76, 'powers': [47, 95, 8], 'representative': 451, 'size': 8}
  • id: 113548817
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 84, 'group_counter': 338, 'group_order': 1216, 'label': '76B-7', 'order': 76, 'powers': [48, 96, 7], 'representative': 769, 'size': 8}
  • id: 113548818
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 85, 'group_counter': 338, 'group_order': 1216, 'label': '76B9', 'order': 76, 'powers': [49, 101, 7], 'representative': 33, 'size': 8}
  • id: 113548819
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 86, 'group_counter': 338, 'group_order': 1216, 'label': '76B-9', 'order': 76, 'powers': [50, 102, 8], 'representative': 643, 'size': 8}
  • id: 113548820
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 87, 'group_counter': 338, 'group_order': 1216, 'label': '76B11', 'order': 76, 'powers': [51, 107, 8], 'representative': 707, 'size': 8}
  • id: 113548821
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 88, 'group_counter': 338, 'group_order': 1216, 'label': '76B-11', 'order': 76, 'powers': [52, 108, 7], 'representative': 513, 'size': 8}
  • id: 113548822
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 89, 'group_counter': 338, 'group_order': 1216, 'label': '76B13', 'order': 76, 'powers': [53, 112, 7], 'representative': 833, 'size': 8}
  • id: 113548824
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 90, 'group_counter': 338, 'group_order': 1216, 'label': '76B-13', 'order': 76, 'powers': [54, 111, 8], 'representative': 387, 'size': 8}
  • id: 113548825
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 91, 'group_counter': 338, 'group_order': 1216, 'label': '76B15', 'order': 76, 'powers': [55, 106, 8], 'representative': 963, 'size': 8}
  • id: 113548826
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 92, 'group_counter': 338, 'group_order': 1216, 'label': '76B-15', 'order': 76, 'powers': [56, 105, 7], 'representative': 257, 'size': 8}
  • id: 113548827
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 93, 'group_counter': 338, 'group_order': 1216, 'label': '76B17', 'order': 76, 'powers': [57, 100, 7], 'representative': 1089, 'size': 8}
  • id: 113548828
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 94, 'group_counter': 338, 'group_order': 1216, 'label': '76B-17', 'order': 76, 'powers': [58, 99, 8], 'representative': 131, 'size': 8}
  • id: 113548829
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 95, 'group_counter': 338, 'group_order': 1216, 'label': '76B21', 'order': 76, 'powers': [58, 90, 7], 'representative': 129, 'size': 8}
  • id: 113548830
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 96, 'group_counter': 338, 'group_order': 1216, 'label': '76B-21', 'order': 76, 'powers': [57, 89, 8], 'representative': 1091, 'size': 8}
  • id: 113548831
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 97, 'group_counter': 338, 'group_order': 1216, 'label': '76B23', 'order': 76, 'powers': [56, 84, 8], 'representative': 259, 'size': 8}
  • id: 113548832
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 98, 'group_counter': 338, 'group_order': 1216, 'label': '76B-23', 'order': 76, 'powers': [55, 83, 7], 'representative': 961, 'size': 8}
  • id: 113548833
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 99, 'group_counter': 338, 'group_order': 1216, 'label': '76B25', 'order': 76, 'powers': [54, 78, 7], 'representative': 385, 'size': 8}
  • id: 113548724
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 100, 'group_counter': 338, 'group_order': 1216, 'label': '76B-25', 'order': 76, 'powers': [53, 77, 8], 'representative': 835, 'size': 8}
  • id: 113548725
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 101, 'group_counter': 338, 'group_order': 1216, 'label': '76B27', 'order': 76, 'powers': [52, 81, 8], 'representative': 515, 'size': 8}
  • id: 113548726
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 102, 'group_counter': 338, 'group_order': 1216, 'label': '76B-27', 'order': 76, 'powers': [51, 82, 7], 'representative': 705, 'size': 8}
  • id: 113548727
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 103, 'group_counter': 338, 'group_order': 1216, 'label': '76B29', 'order': 76, 'powers': [50, 87, 7], 'representative': 641, 'size': 8}
  • id: 113548728
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 104, 'group_counter': 338, 'group_order': 1216, 'label': '76B-29', 'order': 76, 'powers': [49, 88, 8], 'representative': 35, 'size': 8}
  • id: 113548729
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 105, 'group_counter': 338, 'group_order': 1216, 'label': '76B31', 'order': 76, 'powers': [48, 93, 8], 'representative': 771, 'size': 8}
  • id: 113548730
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 106, 'group_counter': 338, 'group_order': 1216, 'label': '76B-31', 'order': 76, 'powers': [47, 94, 7], 'representative': 449, 'size': 8}
  • id: 113548731
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 107, 'group_counter': 338, 'group_order': 1216, 'label': '76B33', 'order': 76, 'powers': [46, 97, 7], 'representative': 897, 'size': 8}
  • id: 113548732
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 108, 'group_counter': 338, 'group_order': 1216, 'label': '76B-33', 'order': 76, 'powers': [45, 98, 8], 'representative': 323, 'size': 8}
  • id: 113548733
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 109, 'group_counter': 338, 'group_order': 1216, 'label': '76B35', 'order': 76, 'powers': [44, 103, 8], 'representative': 1027, 'size': 8}
  • id: 113548735
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 110, 'group_counter': 338, 'group_order': 1216, 'label': '76B-35', 'order': 76, 'powers': [43, 104, 7], 'representative': 193, 'size': 8}
  • id: 113548736
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 111, 'group_counter': 338, 'group_order': 1216, 'label': '76B37', 'order': 76, 'powers': [42, 109, 7], 'representative': 1153, 'size': 8}
  • id: 113548737
    {'aut_label': '76B1', 'centralizer': '8.h1.a1', 'counter': 112, 'group_counter': 338, 'group_order': 1216, 'label': '76B-37', 'order': 76, 'powers': [41, 110, 8], 'representative': 67, 'size': 8}
• gps_qchar •

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

  
  
  • id: 5218694
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.1a', '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], 'schur_index': 1}
  • id: 5218703
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.1b', '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], 'schur_index': 1}
  • id: 5218704
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.1c', '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], 'schur_index': 1}
  • id: 5218705
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.1d', '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], 'schur_index': 1}
  • id: 5218706
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 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, 0, 0, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218707
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 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, 0, 0, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218708
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218709
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218699
    {'cdim': 4, 'counter': 14, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.4a', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, -4, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218700
    {'cdim': 4, 'counter': 15, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.4b', 'multiplicity': 2, 'nt': [16, 140], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 5218710
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.2c', 'multiplicity': 9, 'nt': [19, 2], 'qdim': 18, 'qvalues': [18, 18, 18, 18, 18, 18, 18, 18, 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], 'schur_index': 1}
  • id: 5218695
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.2d', 'multiplicity': 9, 'nt': [38, 3], 'qdim': 18, 'qvalues': [18, 18, 18, 18, 18, 18, -18, -18, 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], 'schur_index': 1}
  • id: 5218696
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.2e', 'multiplicity': 18, 'nt': [76, 0], 'qdim': 36, 'qvalues': [36, 36, 36, -36, -36, 36, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218697
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.2f', 'multiplicity': 18, 'nt': [76, 0], 'qdim': 36, 'qvalues': [36, 36, 36, -36, 36, -36, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218698
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.2g', 'multiplicity': 18, 'nt': [76, 0], 'qdim': 36, 'qvalues': [36, 36, 36, 36, -36, -36, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218701
    {'cdim': 4, 'counter': 16, 'faithful': False, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.4c', 'multiplicity': 18, 'nt': [152, 0], 'qdim': 72, 'qvalues': [72, 72, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5218702
    {'cdim': 8, 'counter': 17, 'faithful': True, 'group': '1216.338', 'group_order': 1216, 'image': None, 'label': '1216.338.8a', 'multiplicity': 9, 'nt': [304, 0], 'qdim': 72, 'qvalues': [72, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
• 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: 9755894
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1216, 'label': '1216.338.1a', '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]]]}
  • id: 9755918
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 608, 'label': '1216.338.1b', '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]]]}
  • id: 9755929
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 608, 'label': '1216.338.1c', '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]]]}
  • id: 9755940
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 608, 'label': '1216.338.1d', '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]]]}
  • id: 9755951
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 304, 'label': '1216.338.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 9755962
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 304, 'label': '1216.338.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 9755973
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 304, 'label': '1216.338.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 9755984
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1216, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 304, 'label': '1216.338.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 9755995
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 304, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 152, 'label': '1216.338.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 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]]]}
  • id: 9755895
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 304, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 152, 'label': '1216.338.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 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]]]}
  • id: 9755906
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 11, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c1', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 9755910
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 12, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c2', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]]]}
  • id: 9755911
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 13, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c3', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]]]}
  • id: 9755912
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 14, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c4', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 7], [1, -7]]]}
  • id: 9755913
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 15, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c5', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 9], [1, -9]]]}
  • id: 9755914
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 16, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c6', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]]]}
  • id: 9755915
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 17, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c7', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]]]}
  • id: 9755916
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 18, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c8', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]]]}
  • id: 9755917
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 19, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '38.1', 'image_order': 38, 'indicator': 1, 'kernel': '38.a1.a1', 'kernel_order': 32, 'label': '1216.338.2c9', 'nt': [19, 2], 'q_character': None, 'values': [[[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 2], [1, -2]]]}
  • id: 9755919
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 20, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d1', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 9755920
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 21, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d2', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]]]}
  • id: 9755921
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 22, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d3', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]]]}
  • id: 9755922
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 23, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d4', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]]]}
  • id: 9755923
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 24, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d5', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 9], [-1, -9]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]]]}
  • id: 9755924
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 25, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d6', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]]]}
  • id: 9755925
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 26, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d7', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]]]}
  • id: 9755926
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 27, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d8', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 1], [1, -1]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]]]}
  • id: 9755927
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 28, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '76.3', 'image_order': 76, 'indicator': 1, 'kernel': '76.a1.a1', 'kernel_order': 16, 'label': '1216.338.2d9', 'nt': [38, 3], 'q_character': None, 'values': [[[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]]]}
  • id: 9755928
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 29, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e1', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 16], [1, -16]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 17], [1, -17]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 17], [-1, -17]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]]]}
  • id: 9755938
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 38, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e10', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 10], [-1, -10]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 8], [1, -8]], [[-1, 17], [-1, -17]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 17], [1, -17]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 17], [1, -17]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]]]}
  • id: 9755939
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 39, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e11', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[-1, 14], [-1, -14]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 13], [-1, -13]], [[-1, 17], [-1, -17]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 13], [1, -13]]]}
  • id: 9755941
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 40, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e12', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 13], [1, -13]], [[1, 17], [1, -17]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]]]}
  • id: 9755942
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 41, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e13', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[-1, 18], [-1, -18]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]]]}
  • id: 9755943
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 42, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e14', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 18], [-1, -18]], [[-1, 5], [-1, -5]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]]]}
  • id: 9755944
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 43, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e15', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[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, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 12], [1, -12]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]]]}
  • id: 9755945
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 44, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e16', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[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, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[1, 12], [1, -12]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[1, 3], [1, -3]]]}
  • id: 9755946
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 45, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e17', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[1, 1], [1, -1]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 17], [-1, -17]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[-1, 11], [-1, -11]]]}
  • id: 9755947
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 46, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e18', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[1, 11], [1, -11]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 17], [1, -17]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[1, 11], [1, -11]]]}
  • id: 9755930
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 30, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e2', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 18], [-1, -18]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 16], [1, -16]], [[1, 15], [1, -15]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 17], [1, -17]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 15], [1, -15]]]}
  • id: 9755931
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 31, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e3', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 16], [1, -16]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]]]}
  • id: 9755932
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 32, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e4', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 5], [1, -5]], [[1, 17], [1, -17]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 10], [-1, -10]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]]]}
  • id: 9755933
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 33, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e5', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, -17]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 14], [-1, -14]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 17], [1, -17]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 9755934
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 34, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e6', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 17], [1, -17]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 17], [-1, -17]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 9755935
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 35, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e7', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 12], [1, -12]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 17], [-1, -17]], [[1, 17], [1, -17]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]]]}
  • id: 9755936
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 36, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e8', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 12], [1, -12]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 17], [1, -17]], [[-1, 17], [-1, -17]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]]]}
  • id: 9755937
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 37, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [-19, 0, 285, 0, -1254, 0, 2508, 0, -2717, 0, 1729, 0, -665, 0, 152, 0, -19, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.5', 'image_order': 152, 'indicator': 1, 'kernel': '152.c1.a1', 'kernel_order': 8, 'label': '1216.338.2e9', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 17], [1, -17]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 17], [-1, -17]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[1, 17], [1, -17]]]}
  • id: 9755948
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 47, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f1', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 8], [1, -8]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 4], [-1, -4]], [[1, 7], [-1, -7]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 8], [-1, -8]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 7], [1, -7]], [[-1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 6], [1, -6]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[1, 9], [-1, -9]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 6], [-1, -6]], [[1, 5], [-1, -5]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 9], [1, -9]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]]]}
  • id: 9755958
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 56, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f10', 'nt': [76, 18], 'q_character': None, 'values': [[[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]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 1], [-1, -1]], [[-1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 4], [-1, -4]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 6], [-1, -6]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 8], [-1, -8]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 9], [1, -9]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 3], [1, -3]], [[1, 7], [-1, -7]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 5], [1, -5]], [[1, 9], [-1, -9]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 7], [1, -7]], [[-1, 9], [1, -9]]]}
  • id: 9755959
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 57, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f11', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 3], [1, -3]], [[1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 6], [1, -6]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 7], [-1, -7]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 6], [-1, -6]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 7], [1, -7]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 6], [-1, -6]], [[-1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 8], [-1, -8]], [[-1, 9], [1, -9]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 9], [-1, -9]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[-1, 8], [1, -8]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[1, 8], [-1, -8]]]}
  • id: 9755960
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 58, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f12', 'nt': [76, 18], 'q_character': None, 'values': [[[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]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[1, 3], [-1, -3]], [[-1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[1, 6], [-1, -6]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 7], [1, -7]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 6], [1, -6]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[1, 7], [-1, -7]], [[1, 5], [-1, -5]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 8], [1, -8]], [[1, 9], [-1, -9]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 3], [1, -3]], [[-1, 4], [1, -4]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 9], [1, -9]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]], [[1, 8], [-1, -8]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 2], [1, -2]], [[-1, 8], [1, -8]]]}
  • id: 9755961
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 59, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f13', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 7], [1, -7]], [[-1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [-1, -5]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 9], [1, -9]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 9], [-1, -9]], [[1, 1], [-1, -1]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 6], [-1, -6]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 7], [-1, -7]], [[1, 3], [-1, -3]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 2], [-1, -2]], [[1, 8], [-1, -8]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[-1, 6], [1, -6]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 8], [1, -8]], [[1, 6], [-1, -6]]]}
  • id: 9755963
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 60, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f14', 'nt': [76, 18], 'q_character': None, 'values': [[[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]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [-1, -7]], [[1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [1, -5]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[-1, 8], [-1, -8]], [[1, 9], [-1, -9]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 5], [-1, -5]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 9], [1, -9]], [[-1, 1], [1, -1]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 6], [1, -6]], [[1, 2], [-1, -2]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 7], [1, -7]], [[-1, 3], [1, -3]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 2], [1, -2]], [[-1, 8], [1, -8]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 3], [-1, -3]], [[1, 6], [-1, -6]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 8], [-1, -8]], [[-1, 6], [1, -6]]]}
  • id: 9755964
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 61, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f15', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [1, -8]], [[1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 3], [-1, -3]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[1, 6], [-1, -6]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 9], [-1, -9]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 6], [1, -6]], [[-1, 7], [1, -7]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 4], [1, -4]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 8], [-1, -8]], [[-1, 2], [1, -2]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 2], [-1, -2]], [[1, 4], [-1, -4]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]]]}
  • id: 9755965
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 62, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f16', 'nt': [76, 18], 'q_character': None, 'values': [[[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]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [-1, -8]], [[-1, 7], [1, -7]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 3], [1, -3]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[-1, 6], [1, -6]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[1, 3], [-1, -3]], [[-1, 9], [1, -9]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 6], [-1, -6]], [[1, 7], [-1, -7]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 8], [1, -8]], [[1, 2], [-1, -2]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 2], [1, -2]], [[-1, 4], [1, -4]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 1], [-1, -1]], [[1, 4], [-1, -4]]]}
  • id: 9755966
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 63, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f17', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [1, -4]], [[-1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 8], [1, -8]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[1, 3], [-1, -3]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 8], [-1, -8]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 6], [-1, -6]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 2], [1, -2]], [[1, 7], [-1, -7]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 7], [1, -7]], [[-1, 9], [1, -9]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[1, 9], [-1, -9]], [[-1, 2], [1, -2]]]}
  • id: 9755967
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 64, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f18', 'nt': [76, 18], 'q_character': None, 'values': [[[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 4], [-1, -4]], [[1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 8], [-1, -8]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 9], [-1, -9]], [[-1, 3], [1, -3]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 8], [1, -8]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 6], [1, -6]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[-1, 5], [1, -5]], [[-1, 8], [-1, -8]], [[-1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[1, 2], [-1, -2]], [[-1, 7], [1, -7]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 4], [1, -4]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 7], [-1, -7]], [[1, 9], [-1, -9]], [[1, 5], [-1, -5]], [[-1, 5], [1, -5]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 9], [1, -9]], [[1, 2], [-1, -2]]]}
  • id: 9755949
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 48, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f2', 'nt': [76, 18], 'q_character': None, 'values': [[[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]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[1, 4], [-1, -4]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 8], [-1, -8]], [[1, 6], [-1, -6]], [[-1, 6], [1, -6]], [[-1, 4], [1, -4]], [[-1, 7], [1, -7]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 8], [1, -8]], [[-1, 3], [1, -3]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[1, 6], [-1, -6]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[-1, 2], [1, -2]], [[-1, 9], [1, -9]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[-1, 6], [1, -6]], [[-1, 5], [1, -5]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[1, 9], [-1, -9]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 5], [-1, -5]], [[1, 1], [-1, -1]]]}
  • id: 9755950
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 49, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f3', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 6], [1, -6]], [[-1, 9], [1, -9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[1, 7], [-1, -7]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [1, -5]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 7], [1, -7]], [[1, 2], [-1, -2]], [[1, 8], [-1, -8]], [[-1, 8], [1, -8]], [[1, 5], [-1, -5]], [[1, 9], [-1, -9]], [[-1, 4], [1, -4]], [[1, 4], [-1, -4]], [[-1, 2], [1, -2]], [[-1, 7], [-1, -7]], [[1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 7], [-1, -7]], [[-1, 7], [1, -7]], [[1, 6], [-1, -6]], [[1, 8], [-1, -8]], [[-1, 5], [1, -5]], [[1, 5], [-1, -5]], [[-1, 1], [1, -1]], [[-1, 4], [1, -4]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 8], [1, -8]], [[1, 3], [-1, -3]], [[1, 9], [-1, -9]], [[-1, 9], [1, -9]], [[1, 4], [-1, -4]], [[-1, 3], [1, -3]]]}
  • id: 9755952
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  • id: 9755953
    {'center': '76.a1.a1', 'center_index': 76, 'center_order': 16, 'counter': 51, 'cyclotomic_n': 19, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.7', 'image_order': 152, 'indicator': 0, 'kernel': '152.b1.a1', 'kernel_order': 8, 'label': '1216.338.2f5', 'nt': [76, 0], 'q_character': None, 'values': [[[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]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 9], [1, -9]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 9], [1, -9]], [[-1, 4], [1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 9], [1, -9]], [[1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[1, 2], [-1, -2]], [[-1, 8], [1, -8]], [[1, 8], [-1, -8]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 7], [1, -7]], [[1, 7], [-1, -7]], [[-1, 2], [1, -2]], [[1, 4], [-1, -4]], [[-1, 6], [1, -6]], [[1, 6], [-1, -6]], [[-1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 5], [-1, -5]], [[-1, 8], [1, -8]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 9], [-1, -9]], [[-1, 7], [1, -7]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 8], [-1, -8]], [[-1, 6], [1, -6]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 7], [-1, -7]], [[-1, 5], [1, -5]], [[1, 4], [-1, -4]], [[-1, 4], [1, -4]], [[1, 6], [-1, -6]], [[1, 5], [-1, -5]]]}
  • id: 9755954
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  • id: 9755955
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  • id: 9755956
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  • id: 9755957
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  • id: 9755968
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 65, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g1', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 11], [1, 27]], [[1, 7], [1, 31]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, 35]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[1, 18], [1, -18]], [[-1, 13], [-1, 25]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[1, 3], [1, 35]], [[-1, 9], [-1, 29]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[-1, 13], [-1, 25]], [[1, 7], [1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 9], [-1, 29]], [[-1, 16], [-1, -16]], [[-1, 15], [-1, 23]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, 23]], [[-1, 5], [-1, 33]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[1, 11], [1, 27]], [[-1, 17], [-1, 21]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[-1, 5], [-1, 33]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[-1, 17], [-1, 21]], [[1, 15], [1, 23]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 15], [1, 23]]]}
  • id: 9755978
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 74, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g10', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[-1, 15], [-1, 23]], [[1, 13], [1, 25]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[-1, 11], [-1, 27]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[1, 10], [1, -10]], [[-1, 3], [-1, 35]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[-1, 11], [-1, 27]], [[1, 5], [1, 33]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [-1, 35]], [[1, 13], [1, 25]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[1, 5], [1, 33]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, 21]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 17], [-1, 21]], [[-1, 7], [-1, 31]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[-1, 15], [-1, 23]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[-1, 7], [-1, 31]], [[1, 9], [1, 29]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 17], [1, 21]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[1, 9], [1, 29]], [[1, 17], [1, 21]]]}
  • id: 9755979
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 75, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g11', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 7], [1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 5], [-1, 33]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, 29]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[-1, 5], [-1, 33]], [[1, 15], [1, 23]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[-1, 9], [-1, 29]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[1, 15], [1, 23]], [[1, 14], [1, -14]], [[1, 13], [1, 25]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 13], [1, 25]], [[-1, 17], [-1, 21]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[1, 7], [1, 31]], [[1, 3], [1, 35]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[-1, 17], [-1, 21]], [[1, 11], [1, 27]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[1, 3], [1, 35]], [[-1, 13], [-1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 11], [1, 27]], [[-1, 13], [-1, 25]]]}
  • id: 9755980
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 76, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g12', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[1, 5], [1, 33]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[-1, 8], [-1, -8]], [[1, 9], [1, 29]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[1, 5], [1, 33]], [[-1, 15], [-1, 23]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[1, 9], [1, 29]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[-1, 15], [-1, 23]], [[1, 14], [1, -14]], [[-1, 13], [-1, 25]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 13], [-1, 25]], [[1, 17], [1, 21]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[-1, 7], [-1, 31]], [[-1, 3], [-1, 35]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[1, 17], [1, 21]], [[-1, 11], [-1, 27]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[-1, 3], [-1, 35]], [[1, 13], [1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 11], [-1, 27]], [[1, 13], [1, 25]]]}
  • id: 9755981
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 77, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g13', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, 29]], [[1, 15], [1, 23]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[1, 6], [1, -6]], [[-1, 17], [-1, 21]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 3], [1, 35]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[-1, 17], [-1, 21]], [[1, 15], [1, 23]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[1, 3], [1, 35]], [[1, 18], [1, -18]], [[1, 5], [1, 33]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 5], [1, 33]], [[1, 11], [1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 9], [-1, 29]], [[1, 7], [1, 31]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[1, 11], [1, 27]], [[-1, 13], [-1, 25]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[1, 7], [1, 31]], [[-1, 5], [-1, 33]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[-1, 13], [-1, 25]], [[-1, 5], [-1, 33]]]}
  • id: 9755982
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 78, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g14', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 9], [1, 29]], [[-1, 15], [-1, 23]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[1, 6], [1, -6]], [[1, 17], [1, 21]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 3], [-1, 35]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[1, 17], [1, 21]], [[-1, 15], [-1, 23]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[-1, 3], [-1, 35]], [[1, 18], [1, -18]], [[-1, 5], [-1, 33]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 33]], [[-1, 11], [-1, 27]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 9], [1, 29]], [[-1, 7], [-1, 31]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[-1, 11], [-1, 27]], [[1, 13], [1, 25]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[-1, 7], [-1, 31]], [[1, 5], [1, 33]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[1, 13], [1, 25]], [[1, 5], [1, 33]]]}
  • id: 9755983
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 79, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g15', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[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, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[-1, 13], [-1, 25]], [[-1, 9], [-1, 29]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 7], [1, 31]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 33]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 7], [1, 31]], [[-1, 17], [-1, 21]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[-1, 5], [-1, 33]], [[-1, 9], [-1, 29]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[-1, 17], [-1, 21]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, 35]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 3], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[-1, 13], [-1, 25]], [[1, 11], [1, 27]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 15], [1, 23]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[1, 11], [1, 27]], [[1, 3], [1, 35]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[1, 15], [1, 23]], [[1, 3], [1, 35]]]}
  • id: 9755985
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 80, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g16', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[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, 8], [1, -8]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[1, 13], [1, 25]], [[1, 9], [1, 29]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 7], [-1, 31]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[-1, 4], [-1, -4]], [[1, 5], [1, 33]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 7], [-1, 31]], [[1, 17], [1, 21]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[1, 5], [1, 33]], [[1, 9], [1, 29]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[1, 17], [1, 21]], [[-1, 12], [-1, -12]], [[1, 3], [1, 35]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 3], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[1, 13], [1, 25]], [[-1, 11], [-1, 27]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 15], [-1, 23]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[-1, 11], [-1, 27]], [[-1, 3], [-1, 35]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[-1, 15], [-1, 23]], [[-1, 3], [-1, 35]]]}
  • id: 9755986
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 81, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g17', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 3], [1, 35]], [[-1, 5], [-1, 33]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 13], [-1, 25]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[1, 2], [1, -2]], [[1, 7], [1, 31]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[-1, 13], [-1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[1, 7], [1, 31]], [[-1, 5], [-1, 33]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 6], [1, -6]], [[-1, 11], [-1, 27]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 11], [-1, 27]], [[-1, 9], [-1, 29]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[1, 3], [1, 35]], [[1, 15], [1, 23]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[-1, 9], [-1, 29]], [[-1, 17], [-1, 21]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 15], [1, 23]], [[1, 11], [1, 27]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[-1, 17], [-1, 21]], [[1, 11], [1, 27]]]}
  • id: 9755987
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 82, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g18', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 3], [-1, 35]], [[1, 5], [1, 33]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 13], [1, 25]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[1, 2], [1, -2]], [[-1, 7], [-1, 31]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[1, 13], [1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[-1, 7], [-1, 31]], [[1, 5], [1, 33]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 6], [1, -6]], [[1, 11], [1, 27]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 11], [1, 27]], [[1, 9], [1, 29]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[-1, 3], [-1, 35]], [[-1, 15], [-1, 23]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[1, 9], [1, 29]], [[1, 17], [1, 21]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 15], [-1, 23]], [[-1, 11], [-1, 27]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[1, 17], [1, 21]], [[-1, 11], [-1, 27]]]}
  • id: 9755969
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 66, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g2', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 18], [1, -18]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, 27]], [[-1, 7], [-1, 31]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 3], [-1, 35]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[1, 18], [1, -18]], [[1, 13], [1, 25]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[-1, 3], [-1, 35]], [[1, 9], [1, 29]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[1, 13], [1, 25]], [[-1, 7], [-1, 31]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 9], [1, 29]], [[-1, 16], [-1, -16]], [[1, 15], [1, 23]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 15], [1, 23]], [[1, 5], [1, 33]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[-1, 11], [-1, 27]], [[1, 17], [1, 21]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[1, 5], [1, 33]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[1, 17], [1, 21]], [[-1, 15], [-1, 23]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 15], [-1, 23]]]}
  • id: 9755970
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 67, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g3', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 5], [-1, 33]], [[-1, 17], [-1, 21]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 9], [-1, 29]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[-1, 16], [-1, -16]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[-1, 9], [-1, 29]], [[1, 11], [1, 27]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 17], [-1, 21]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[1, 11], [1, 27]], [[1, 10], [1, -10]], [[-1, 7], [-1, 31]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 7], [-1, 31]], [[1, 15], [1, 23]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[-1, 5], [-1, 33]], [[-1, 13], [-1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 15], [1, 23]], [[1, 3], [1, 35]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[-1, 13], [-1, 25]], [[1, 7], [1, 31]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[1, 3], [1, 35]], [[1, 7], [1, 31]]]}
  • id: 9755971
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 68, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g4', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 12], [-1, -12]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 5], [1, 33]], [[1, 17], [1, 21]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 9], [1, 29]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[-1, 16], [-1, -16]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[1, 9], [1, 29]], [[-1, 11], [-1, 27]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 17], [1, 21]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[-1, 11], [-1, 27]], [[1, 10], [1, -10]], [[1, 7], [1, 31]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 7], [1, 31]], [[-1, 15], [-1, 23]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[1, 5], [1, 33]], [[1, 13], [1, 25]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 15], [-1, 23]], [[-1, 3], [-1, 35]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[1, 13], [1, 25]], [[-1, 7], [-1, 31]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[-1, 3], [-1, 35]], [[-1, 7], [-1, 31]]]}
  • id: 9755972
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 69, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g5', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 17], [-1, 21]], [[1, 3], [1, 35]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 15], [1, 23]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[1, 14], [1, -14]], [[1, 11], [1, 27]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[1, 15], [1, 23]], [[1, 7], [1, 31]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[1, 11], [1, 27]], [[1, 3], [1, 35]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[1, 7], [1, 31]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 13], [-1, 25]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[-1, 17], [-1, 21]], [[-1, 9], [-1, 29]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[-1, 13], [-1, 25]], [[-1, 5], [-1, 33]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[-1, 9], [-1, 29]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[-1, 5], [-1, 33]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]]]}
  • id: 9755974
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 70, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g6', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 18], [-1, -18]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[-1, 18], [-1, -18]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 17], [1, 21]], [[-1, 3], [-1, 35]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, 23]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[1, 14], [1, -14]], [[-1, 11], [-1, 27]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[-1, 15], [-1, 23]], [[-1, 7], [-1, 31]], [[-1, 9], [-1, 29]], [[-1, 9], [-1, 29]], [[-1, 11], [-1, 27]], [[-1, 3], [-1, 35]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[-1, 7], [-1, 31]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 13], [1, 25]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[1, 17], [1, 21]], [[1, 9], [1, 29]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[1, 13], [1, 25]], [[1, 5], [1, 33]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[1, 9], [1, 29]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[1, 5], [1, 33]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]]]}
  • id: 9755975
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 71, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g7', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[1, 11], [1, 27]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[-1, 17], [-1, 21]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 12], [-1, -12]], [[1, 15], [1, 23]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[-1, 17], [-1, 21]], [[-1, 13], [-1, 25]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[1, 15], [1, 23]], [[1, 11], [1, 27]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[-1, 13], [-1, 25]], [[1, 2], [1, -2]], [[1, 9], [1, 29]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 9], [1, 29]], [[1, 3], [1, 35]], [[1, 17], [1, 21]], [[1, 17], [1, 21]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 5], [-1, 33]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[1, 3], [1, 35]], [[1, 7], [1, 31]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[-1, 5], [-1, 33]], [[-1, 9], [-1, 29]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[1, 7], [1, 31]], [[-1, 9], [-1, 29]]]}
  • id: 9755976
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 72, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g8', 'nt': [76, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 19]], [[-2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[1, 18], [1, -18]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 18], [-1, -18]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[-1, 11], [-1, 27]], [[1, 18], [1, -18]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 4], [-1, -4]], [[1, 17], [1, 21]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, 23]], [[1, 3], [1, 35]], [[1, 3], [1, 35]], [[1, 17], [1, 21]], [[1, 13], [1, 25]], [[-1, 5], [-1, 33]], [[-1, 5], [-1, 33]], [[-1, 15], [-1, 23]], [[-1, 11], [-1, 27]], [[1, 7], [1, 31]], [[1, 7], [1, 31]], [[1, 13], [1, 25]], [[1, 2], [1, -2]], [[-1, 9], [-1, 29]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, 29]], [[-1, 3], [-1, 35]], [[-1, 17], [-1, 21]], [[-1, 17], [-1, 21]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 5], [1, 33]], [[1, 15], [1, 23]], [[1, 15], [1, 23]], [[-1, 3], [-1, 35]], [[-1, 7], [-1, 31]], [[-1, 13], [-1, 25]], [[-1, 13], [-1, 25]], [[1, 5], [1, 33]], [[1, 9], [1, 29]], [[1, 11], [1, 27]], [[1, 11], [1, 27]], [[-1, 7], [-1, 31]], [[1, 9], [1, 29]]]}
  • id: 9755977
    {'center': '38.a1.a1', 'center_index': 38, 'center_order': 32, 'counter': 73, 'cyclotomic_n': 76, 'dim': 2, 'faithful': False, 'field': [1, 0, 45, 0, 330, 0, 924, 0, 1287, 0, 1001, 0, 455, 0, 120, 0, 17, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '152.4', 'image_order': 152, 'indicator': 0, 'kernel': '152.a1.a1', 'kernel_order': 8, 'label': '1216.338.2g9', 'nt': [76, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 19]], [[2, 19]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 18], [-1, -18]], [[1, 16], [1, -16]], [[1, 15], [1, 23]], [[-1, 13], [-1, 25]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 18], [1, -18]], [[-1, 16], [-1, -16]], [[1, 11], [1, 27]], [[-1, 15], [-1, 23]], [[-1, 15], [-1, 23]], [[1, 10], [1, -10]], [[1, 3], [1, 35]], [[-1, 7], [-1, 31]], [[-1, 7], [-1, 31]], [[1, 11], [1, 27]], [[-1, 5], [-1, 33]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19], [-1, 21], [1, 23], [-1, 25], [1, 27], [-1, 29], [1, 31], [-1, 33], [1, 35]], [[1, 3], [1, 35]], [[-1, 13], [-1, 25]], [[1, 9], [1, 29]], [[1, 9], [1, 29]], [[-1, 5], [-1, 33]], [[-1, 8], [-1, -8]], [[1, 17], [1, 21]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 17], [1, 21]], [[1, 7], [1, 31]], [[-1, 11], [-1, 27]], [[-1, 11], [-1, 27]], [[1, 15], [1, 23]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 3], [-1, 35]], [[-1, 3], [-1, 35]], [[1, 7], [1, 31]], [[-1, 9], [-1, 29]], [[1, 5], [1, 33]], [[1, 5], [1, 33]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19], [1, 21], [-1, 23], [1, 25], [-1, 27], [1, 29], [-1, 31], [1, 33], [-1, 35]], [[-1, 17], [-1, 21]], [[1, 13], [1, 25]], [[1, 13], [1, 25]], [[-1, 9], [-1, 29]], [[-1, 17], [-1, 21]]]}
  • id: 9755988
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 76, 'counter': 83, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '32.6', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1.a1', 'kernel_order': 38, 'label': '1216.338.4a', 'nt': [8, 19], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755989
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 38, 'counter': 84, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '64.33', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 19, 'label': '1216.338.4b1', 'nt': [16, 140], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755990
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 38, 'counter': 85, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '64.33', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 19, 'label': '1216.338.4b2', 'nt': [16, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755991
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 86, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c1', 'nt': [152, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 8], [2, -8]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [2, -6]], [[2, 2], [-2, -2]], [[-2, 8], [2, -8]], [[2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 4], [-2, -4]], [[2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[2, 6], [-2, -6]], [[2, 7], [-2, -7]], [[-2, 8], [-2, -8]], [[-2, 7], [-2, -7]], [[2, 8], [-2, -8]], [[2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 9], [2, -9]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[-2, 5], [2, -5]], [[-2, 2], [2, -2]], [[-2, 4], [2, -4]], [[-2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9756001
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 95, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c10', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 9], [2, -9]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 6], [2, -6]], [[2, 8], [2, -8]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 7], [2, -7]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 7], [2, -7]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[2, 4], [-2, -4]], [[2, 9], [-2, -9]], [[-2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [2, -3]], [[2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 4], [2, -4]], [[2, 7], [-2, -7]], [[-2, 9], [-2, -9]], [[-2, 7], [-2, -7]], [[-2, 5], [2, -5]], [[2, 8], [-2, -8]], [[-2, 9], [2, -9]], [[-2, 7], [2, -7]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[-2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 9756002
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 96, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c11', 'nt': [152, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 5], [2, -5]], [[2, 7], [2, -7]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 9], [2, -9]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 6], [-2, -6]], [[-2, 9], [2, -9]], [[2, 3], [-2, -3]], [[2, 7], [-2, -7]], [[-2, 8], [2, -8]], [[-2, 3], [-2, -3]], [[2, 6], [-2, -6]], [[2, 4], [-2, -4]], [[-2, 9], [-2, -9]], [[-2, 4], [-2, -4]], [[2, 9], [-2, -9]], [[2, 1], [-2, -1]], [[-2, 7], [-2, -7]], [[-2, 1], [-2, -1]], [[-2, 7], [2, -7]], [[-2, 2], [2, -2]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[-2, 4], [2, -4]], [[-2, 5], [2, -5]], [[2, 8], [-2, -8]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[-2, 6], [2, -6]], [[2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 9756003
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 97, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c12', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 5], [2, -5]], [[2, 7], [2, -7]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 9], [2, -9]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 6], [-2, -6]], [[2, 9], [-2, -9]], [[-2, 3], [2, -3]], [[-2, 7], [2, -7]], [[2, 8], [-2, -8]], [[-2, 3], [-2, -3]], [[-2, 6], [2, -6]], [[-2, 4], [2, -4]], [[-2, 9], [-2, -9]], [[-2, 4], [-2, -4]], [[-2, 9], [2, -9]], [[-2, 1], [2, -1]], [[-2, 7], [-2, -7]], [[-2, 1], [-2, -1]], [[2, 7], [-2, -7]], [[2, 2], [-2, -2]], [[-2, 8], [-2, -8]], [[-2, 2], [-2, -2]], [[2, 4], [-2, -4]], [[2, 5], [-2, -5]], [[-2, 8], [2, -8]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[2, 6], [-2, -6]], [[-2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 9756004
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 98, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c13', 'nt': [152, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 7], [2, -7]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 9], [2, -9]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 8], [2, -8]], [[2, 7], [2, -7]], [[-2, 5], [-2, -5]], [[-2, 2], [2, -2]], [[2, 7], [-2, -7]], [[-2, 9], [2, -9]], [[-2, 6], [2, -6]], [[-2, 7], [-2, -7]], [[-2, 5], [2, -5]], [[2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[-2, 4], [2, -4]], [[-2, 9], [-2, -9]], [[-2, 4], [-2, -4]], [[2, 9], [-2, -9]], [[2, 8], [-2, -8]], [[-2, 6], [-2, -6]], [[-2, 8], [-2, -8]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[2, 6], [-2, -6]], [[-2, 8], [2, -8]], [[-2, 7], [2, -7]], [[2, 5], [-2, -5]], [[-2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9756005
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 99, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c14', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 7], [2, -7]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 9], [2, -9]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 8], [2, -8]], [[2, 7], [2, -7]], [[-2, 5], [-2, -5]], [[2, 2], [-2, -2]], [[-2, 7], [2, -7]], [[2, 9], [-2, -9]], [[2, 6], [-2, -6]], [[-2, 7], [-2, -7]], [[2, 5], [-2, -5]], [[-2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [2, -2]], [[2, 4], [-2, -4]], [[-2, 9], [-2, -9]], [[-2, 4], [-2, -4]], [[-2, 9], [2, -9]], [[-2, 8], [2, -8]], [[-2, 6], [-2, -6]], [[-2, 8], [-2, -8]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[-2, 6], [2, -6]], [[2, 8], [-2, -8]], [[2, 7], [-2, -7]], [[-2, 5], [2, -5]], [[2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755896
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 100, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c15', 'nt': [152, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 8], [2, -8]], [[2, 9], [2, -9]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 7], [2, -7]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[-2, 3], [-2, -3]], [[-2, 5], [2, -5]], [[2, 8], [-2, -8]], [[2, 6], [-2, -6]], [[2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 5], [-2, -5]], [[2, 9], [-2, -9]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-2, 6], [2, -6]], [[2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-2, 7], [2, -7]], [[-2, 4], [2, -4]], [[-2, 1], [2, -1]], [[-2, 8], [2, -8]], [[2, 3], [-2, -3]], [[2, 7], [-2, -7]], [[-2, 7], [-2, -7]], [[-2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755897
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 101, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c16', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 8], [2, -8]], [[2, 9], [2, -9]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 7], [2, -7]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[-2, 3], [-2, -3]], [[2, 5], [-2, -5]], [[-2, 8], [2, -8]], [[-2, 6], [2, -6]], [[-2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 5], [2, -5]], [[-2, 9], [2, -9]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[2, 6], [-2, -6]], [[-2, 1], [2, -1]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[2, 7], [-2, -7]], [[2, 4], [-2, -4]], [[2, 1], [-2, -1]], [[2, 8], [-2, -8]], [[-2, 3], [2, -3]], [[-2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755898
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 102, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c17', 'nt': [152, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 6], [2, -6]], [[2, 7], [2, -7]], [[2, 8], [2, -8]], [[2, 9], [2, -9]], [[2, 8], [2, -8]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 7], [2, -7]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 7], [2, -7]], [[-2, 4], [2, -4]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 8], [2, -8]], [[2, 1], [-2, -1]], [[-2, 7], [-2, -7]], [[-2, 1], [-2, -1]], [[2, 7], [-2, -7]], [[2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 3], [-2, -3]], [[2, 9], [-2, -9]], [[-2, 2], [-2, -2]], [[-2, 9], [-2, -9]], [[-2, 1], [2, -1]], [[-2, 6], [2, -6]], [[2, 2], [-2, -2]], [[-2, 9], [2, -9]], [[2, 4], [-2, -4]], [[2, 8], [-2, -8]], [[2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755899
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 103, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c18', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 6], [2, -6]], [[2, 7], [2, -7]], [[2, 8], [2, -8]], [[2, 9], [2, -9]], [[2, 8], [2, -8]], [[2, 6], [2, -6]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 7], [2, -7]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 7], [-2, -7]], [[2, 4], [-2, -4]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 8], [-2, -8]], [[-2, 1], [2, -1]], [[-2, 7], [-2, -7]], [[-2, 1], [-2, -1]], [[-2, 7], [2, -7]], [[-2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [2, -3]], [[-2, 9], [2, -9]], [[-2, 2], [-2, -2]], [[-2, 9], [-2, -9]], [[2, 1], [-2, -1]], [[2, 6], [-2, -6]], [[-2, 2], [2, -2]], [[2, 9], [-2, -9]], [[-2, 4], [2, -4]], [[-2, 8], [2, -8]], [[-2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755992
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 87, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c2', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9], [2, -9]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 8], [2, -8]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[2, 6], [2, -6]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [-2, -6]], [[-2, 2], [2, -2]], [[2, 8], [-2, -8]], [[-2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 4], [2, -4]], [[-2, 9], [2, -9]], [[-2, 6], [-2, -6]], [[-2, 9], [-2, -9]], [[-2, 6], [2, -6]], [[-2, 7], [2, -7]], [[-2, 8], [-2, -8]], [[-2, 7], [-2, -7]], [[-2, 8], [2, -8]], [[-2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 9], [-2, -9]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[2, 5], [-2, -5]], [[2, 2], [-2, -2]], [[2, 4], [-2, -4]], [[2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755993
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  • id: 9755994
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 89, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c4', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 1], [2, -1]], [[2, 7], [2, -7]], [[2, 4], [2, -4]], [[2, 7], [2, -7]], [[2, 9], [2, -9]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 7], [-2, -7]], [[2, 1], [-2, -1]], [[2, 6], [-2, -6]], [[-2, 5], [2, -5]], [[2, 3], [-2, -3]], [[-2, 6], [-2, -6]], [[-2, 7], [2, -7]], [[2, 8], [-2, -8]], [[-2, 1], [-2, -1]], [[-2, 8], [-2, -8]], [[-2, 1], [2, -1]], [[2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 5], [-2, -5]], [[-2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 8], [2, -8]], [[2, 9], [-2, -9]], [[-2, 3], [2, -3]], [[2, 4], [-2, -4]], [[-2, 6], [2, -6]], [[2, 7], [-2, -7]], [[-2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755996
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 90, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c5', 'nt': [152, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 6], [2, -6]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 7], [2, -7]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[-2, 1], [-2, -1]], [[-2, 8], [2, -8]], [[2, 9], [-2, -9]], [[2, 2], [-2, -2]], [[-2, 5], [2, -5]], [[-2, 9], [-2, -9]], [[-2, 1], [2, -1]], [[-2, 7], [2, -7]], [[-2, 8], [-2, -8]], [[-2, 7], [-2, -7]], [[2, 8], [-2, -8]], [[2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [2, -2]], [[-2, 6], [2, -6]], [[-2, 5], [-2, -5]], [[-2, 6], [-2, -6]], [[2, 7], [-2, -7]], [[2, 4], [-2, -4]], [[2, 5], [-2, -5]], [[2, 6], [-2, -6]], [[-2, 9], [2, -9]], [[2, 1], [-2, -1]], [[-2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755997
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 91, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c6', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 1], [2, -1]], [[2, 6], [2, -6]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 7], [2, -7]], [[2, 8], [2, -8]], [[2, 5], [2, -5]], [[2, 6], [2, -6]], [[2, 9], [2, -9]], [[-2, 1], [-2, -1]], [[2, 8], [-2, -8]], [[-2, 9], [2, -9]], [[-2, 2], [2, -2]], [[2, 5], [-2, -5]], [[-2, 9], [-2, -9]], [[2, 1], [-2, -1]], [[2, 7], [-2, -7]], [[-2, 8], [-2, -8]], [[-2, 7], [-2, -7]], [[-2, 8], [2, -8]], [[-2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[2, 6], [-2, -6]], [[-2, 5], [-2, -5]], [[-2, 6], [-2, -6]], [[-2, 7], [2, -7]], [[-2, 4], [2, -4]], [[-2, 5], [2, -5]], [[-2, 6], [2, -6]], [[2, 9], [-2, -9]], [[-2, 1], [2, -1]], [[2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755998
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 92, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c7', 'nt': [152, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 7], [2, -7]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 9], [-2, -9]], [[-2, 4], [2, -4]], [[-2, 5], [2, -5]], [[2, 1], [-2, -1]], [[2, 7], [-2, -7]], [[-2, 5], [-2, -5]], [[2, 9], [-2, -9]], [[2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 4], [-2, -4]], [[-2, 8], [2, -8]], [[-2, 1], [-2, -1]], [[-2, 8], [-2, -8]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[-2, 7], [-2, -7]], [[-2, 3], [-2, -3]], [[-2, 6], [2, -6]], [[2, 2], [-2, -2]], [[-2, 7], [2, -7]], [[2, 3], [-2, -3]], [[2, 5], [-2, -5]], [[-2, 9], [2, -9]], [[-2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 8], [-2, -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]]]}
  • id: 9755999
    {'center': '304.a1.a1', 'center_index': 304, 'center_order': 4, 'counter': 93, 'cyclotomic_n': 19, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '608.12', 'image_order': 608, 'indicator': 0, 'kernel': '608.a1.a1', 'kernel_order': 2, 'label': '1216.338.4c8', 'nt': [152, 18], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 7], [2, -7]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 8], [2, -8]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 8], [2, -8]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 7], [2, -7]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 9], [-2, -9]], [[2, 4], [-2, -4]], [[2, 5], [-2, -5]], [[-2, 1], [2, -1]], [[-2, 7], [2, -7]], [[-2, 5], [-2, -5]], [[-2, 9], [2, -9]], [[-2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 4], [2, -4]], [[2, 8], [-2, -8]], [[-2, 1], [-2, -1]], [[-2, 8], [-2, -8]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 7], [-2, -7]], [[-2, 3], [-2, -3]], [[2, 6], [-2, -6]], [[-2, 2], [2, -2]], [[2, 7], [-2, -7]], [[-2, 3], [2, -3]], [[-2, 5], [2, -5]], [[2, 9], [-2, -9]], [[2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 8], [2, -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]]]}
  • id: 9756000
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  • id: 9755900
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  • id: 9755901
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  • id: 9755902
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  • id: 9755903
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  • id: 9755904
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  • id: 9755905
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  • id: 9755907
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  • id: 9755908
    {'center': '608.a1.a1', 'center_index': 608, 'center_order': 2, 'counter': 111, 'cyclotomic_n': 19, 'dim': 8, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '1216.338', 'image_order': 1216, 'indicator': -1, 'kernel': '1216.a1.a1', 'kernel_order': 1, 'label': '1216.338.8a8', 'nt': [304, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2], [4, -2]], [[4, 4], [4, -4]], [[4, 6], [4, -6]], [[4, 8], [4, -8]], [[4, 9], [4, -9]], [[4, 7], [4, -7]], [[4, 5], [4, -5]], [[4, 3], [4, -3]], [[4, 1], [4, -1]], [[-4, 3], [-4, -3]], [[-4, 7], [-4, -7]], [[-4, 6], [-4, -6]], [[-4, 9], [-4, -9]], [[-4, 2], [-4, -2]], [[-4, 5], [-4, -5]], [[-4, 4], [-4, -4]], [[-4, 1], [-4, -1]], [[-4, 8], [-4, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 9755909
    {'center': '608.a1.a1', 'center_index': 608, 'center_order': 2, 'counter': 112, 'cyclotomic_n': 19, 'dim': 8, 'faithful': True, 'field': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'group': '1216.338', 'group_counter': 338, 'group_order': 1216, 'image': None, 'image_isoclass': '1216.338', 'image_order': 1216, 'indicator': -1, 'kernel': '1216.a1.a1', 'kernel_order': 1, 'label': '1216.338.8a9', 'nt': [304, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1], [4, -1]], [[4, 2], [4, -2]], [[4, 3], [4, -3]], [[4, 4], [4, -4]], [[4, 5], [4, -5]], [[4, 6], [4, -6]], [[4, 7], [4, -7]], [[4, 8], [4, -8]], [[4, 9], [4, -9]], [[-4, 8], [-4, -8]], [[-4, 6], [-4, -6]], [[-4, 3], [-4, -3]], [[-4, 5], [-4, -5]], [[-4, 1], [-4, -1]], [[-4, 7], [-4, -7]], [[-4, 2], [-4, -2]], [[-4, 9], [-4, -9]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 70308416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1216, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 38, 'label': '1216.338.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1216.338', 'subgroup_hash': 338, 'subgroup_order': 1216, 'subgroup_tex': '(C_2\\times C_4).D_{76}', 'supersolvable': True, 'sylow': 0}
  • id: 70308427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 38, 'characteristic': True, 'core_order': 608, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '608.48', 'subgroup_hash': 48, 'subgroup_order': 608, 'subgroup_tex': 'C_2^3:C_{76}', 'supersolvable': True, 'sylow': 0}
  • id: 70308438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 608, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '608.130', 'subgroup_hash': 130, 'subgroup_order': 608, 'subgroup_tex': 'C_2^3.D_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 608, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '608.39', 'subgroup_hash': 39, 'subgroup_order': 608, 'subgroup_tex': 'C_{76}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 76, 'characteristic': True, 'core_order': 304, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '304.38', 'subgroup_hash': 38, 'subgroup_order': 304, 'subgroup_tex': 'D_4\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308471
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 304, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '304.35', 'subgroup_hash': 35, 'subgroup_order': 304, 'subgroup_tex': 'C_2^2.D_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 304, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '304.18', 'subgroup_hash': 18, 'subgroup_order': 304, 'subgroup_tex': 'C_{38}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 76, 'characteristic': False, 'core_order': 152, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '304.20', 'subgroup_hash': 20, 'subgroup_order': 304, 'subgroup_tex': 'C_2^2:C_{76}', 'supersolvable': True, 'sylow': 0}
  • id: 70308483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 152, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '304.18', 'subgroup_hash': 18, 'subgroup_order': 304, 'subgroup_tex': 'C_{38}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 152, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '304.11', 'subgroup_hash': 11, 'subgroup_order': 304, 'subgroup_tex': 'C_{38}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 152, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '304.9', 'subgroup_hash': 9, 'subgroup_order': 304, 'subgroup_tex': 'C_{19}:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 70308419
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': True, 'core_order': 152, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '152.12', 'subgroup_hash': 12, 'subgroup_order': 152, 'subgroup_tex': 'C_2^2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308420
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': True, 'core_order': 152, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '152.12', 'subgroup_hash': 12, 'subgroup_order': 152, 'subgroup_tex': 'C_2^2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308421
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': True, 'core_order': 152, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.8.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': '8.3', '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': '152.8', 'subgroup_hash': 8, 'subgroup_order': 152, 'subgroup_tex': 'C_2\\times C_{76}', 'supersolvable': True, 'sylow': 0}
  • id: 70308422
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 76, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '152.6', 'subgroup_hash': 6, 'subgroup_order': 152, 'subgroup_tex': 'C_{38}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308423
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 76, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '152.6', 'subgroup_hash': 6, 'subgroup_order': 152, 'subgroup_tex': 'C_{38}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 76, 'characteristic': False, 'core_order': 38, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '152.9', 'subgroup_hash': 9, 'subgroup_order': 152, 'subgroup_tex': 'D_4\\times C_{19}', 'supersolvable': True, 'sylow': 0}
  • id: 70308425
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 38, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '152.6', 'subgroup_hash': 6, 'subgroup_order': 152, 'subgroup_tex': 'C_{38}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308426
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 38, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '152.8', 'subgroup_hash': 8, 'subgroup_order': 152, 'subgroup_tex': 'C_2\\times C_{76}', 'supersolvable': True, 'sylow': 0}
  • id: 70308428
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 38, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '152.1', 'subgroup_hash': 1, 'subgroup_order': 152, 'subgroup_tex': 'C_{19}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 70308429
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': True, 'core_order': 76, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '76.4', 'subgroup_hash': 4, 'subgroup_order': 76, 'subgroup_tex': 'C_2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308430
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 38, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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': '76.4', 'subgroup_hash': 4, 'subgroup_order': 76, 'subgroup_tex': 'C_2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308431
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 38, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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': '76.4', 'subgroup_hash': 4, 'subgroup_order': 76, 'subgroup_tex': 'C_2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308432
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 38, 'counter': 24, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '76.2', 'subgroup_hash': 2, 'subgroup_order': 76, 'subgroup_tex': 'C_{76}', 'supersolvable': True, 'sylow': 0}
  • id: 70308433
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 38, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '76.1', 'subgroup_hash': 1, 'subgroup_order': 76, 'subgroup_tex': 'C_{19}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308434
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 19, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.16.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': '76.4', 'subgroup_hash': 4, 'subgroup_order': 76, 'subgroup_tex': 'C_2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308435
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 19, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.16.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': '76.4', 'subgroup_hash': 4, 'subgroup_order': 76, 'subgroup_tex': 'C_2\\times C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308436
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 19, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '76.1', 'subgroup_hash': 1, 'subgroup_order': 76, 'subgroup_tex': 'C_{19}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308437
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 19, 'counter': 29, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '76.2', 'subgroup_hash': 2, 'subgroup_order': 76, 'subgroup_tex': 'C_{76}', 'supersolvable': True, 'sylow': 0}
  • id: 70308439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1216.338.19.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '19.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 19, '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': '64.33', 'subgroup_hash': 33, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 2}
  • id: 70308440
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': True, 'core_order': 38, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1216.338.32.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': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'L3', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '38.2', 'subgroup_hash': 2, 'subgroup_order': 38, 'subgroup_tex': 'C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308441
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 19, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38.2', 'subgroup_hash': 2, 'subgroup_order': 38, 'subgroup_tex': 'C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308442
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 19, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38.2', 'subgroup_hash': 2, 'subgroup_order': 38, 'subgroup_tex': 'C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308443
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 19, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '38.2', 'subgroup_hash': 2, 'subgroup_order': 38, 'subgroup_tex': 'C_{38}', 'supersolvable': True, 'sylow': 0}
  • id: 70308444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 38, 'characteristic': True, 'core_order': 32, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.38.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '38.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '38.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 38, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{19}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.38.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '38.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': 38, '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': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 16, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.38.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '38.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': 38, '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': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 70308447
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': True, 'core_order': 19, 'counter': 38, 'cyclic': True, 'direct': False, 'hall': 19, 'label': '1216.338.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.33', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 33, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': True, 'solvable': True, 'special_labels': ['L4', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '19.1', 'subgroup_hash': 1, 'subgroup_order': 19, 'subgroup_tex': 'C_{19}', 'supersolvable': True, 'sylow': 19}
  • id: 70308448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 76, 'characteristic': True, 'core_order': 16, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.76.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '76.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '76.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 76, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{38}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308450
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.76.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.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': 76, '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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.76.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.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': 76, '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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 76, 'characteristic': False, 'core_order': 8, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.76.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.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': 76, '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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.76.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.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': 76, '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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.76.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.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': 76, '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': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.76.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '76.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': 76, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 70308456
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': True, 'core_order': 8, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.152.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '152.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '152.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{19}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 70308457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': True, 'core_order': 8, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.152.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '152.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '152.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{19}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 70308458
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': True, 'core_order': 8, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.152.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '152.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '152.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{76}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 70308459
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.152.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.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': 152, '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: 70308461
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.152.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.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': 152, '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: 70308462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 76, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.152.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.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': 152, '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: 70308463
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.152.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.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': 152, '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: 70308464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.152.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 152, '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: 70308465
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.152.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '152.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 70308466
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': True, 'core_order': 4, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1216.338.304.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '304.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '304.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{38}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['U2'], '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: 70308467
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 2, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.304.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.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': 304, '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: 70308468
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 2, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.304.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.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': 304, '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: 70308469
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 2, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.304.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.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': 304, '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: 70308470
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.304.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.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': 304, '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: 70308472
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 1, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.304.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.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': 304, '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: 70308473
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 1, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216.338.304.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.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': 304, '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: 70308474
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.304.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 304, '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: 70308475
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 152, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.304.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '304.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 304, '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: 70308476
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': True, 'central_factor': False, 'centralizer_order': 1216, 'characteristic': True, 'core_order': 2, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1216.338.608.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '608.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '608.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 608, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{76}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U3'], '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: 70308477
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 608, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.608.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '608.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': 608, '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: 70308478
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.608.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '608.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': 608, '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: 70308479
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': False, 'central_factor': False, 'centralizer_order': 304, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1216.338.608.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '608.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': 608, '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: 70308480
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216.338', 'ambient_counter': 338, 'ambient_order': 1216, 'ambient_tex': '(C_2\\times C_4).D_{76}', 'central': True, 'central_factor': False, 'centralizer_order': 1216, 'characteristic': True, 'core_order': 1, 'counter': 68, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1216.338.1216.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1216.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1216.338', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 338, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).D_{76}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U4', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 70308416
    {'ambient': '1216.338', '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': '608.a1.a1', 'complements': ['1216.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '19.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1691, 6350, 2089, 6345, 6688, 5888, 3487, 6020], 'generators': [608, 24, 16, 2, 4, 1, 64], 'label': '1216.338.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '608.12', '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': '608.12'}
  • id: 70308417
    {'ambient': '1216.338', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '8.e1.a1', '76.f1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6013, -1, 6153, -1, 1788, -1, 8213, -1], 'generators': [16, 64, 8, 4, 634], 'label': '1216.338.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.f1.a1', 'projective_image': '608.12', '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': '152.11'}
  • id: 70308418
    {'ambient': '1216.338', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '304.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '8.i1.a1', '76.g1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2191, -1, 3966, -1, 6519, -1, 4352, -1], 'generators': [16, 64, 610, 8, 5], 'label': '1216.338.4.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.g1.a1', 'projective_image': '608.12', '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': '152.7'}
  • id: 70308419
    {'ambient': '1216.338', 'aut_centralizer_order': 304, 'aut_label': '8.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '144.48', 'aut_weyl_index': 304, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.f1.a1', '152.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9580, 2196, 9185, 2163, 4000, 1588, 5183, 1859], 'generators': [8, 16, 64, 608], 'label': '1216.338.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '152.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '608.12', 'quotient_action_image': '8.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 70308420
    {'ambient': '1216.338', 'aut_centralizer_order': 304, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '144.48', 'aut_weyl_index': 304, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '16.g1.a1', '152.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4680, 7863, 2193, 4754, 6866, 4140, 1517, 4329], 'generators': [2, 8, 64, 16], 'label': '1216.338.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '152.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '608.12', 'quotient_action_image': '8.3', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 70308421
    {'ambient': '1216.338', 'aut_centralizer_order': 304, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '144.48', 'aut_weyl_index': 304, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '152.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2856, 4750, 4664, 7740, 5553, 6553, 4449, 6665], 'generators': [634, 8, 16, 64], 'label': '1216.338.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '152.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '608.12', 'quotient_action_image': '8.3', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 70308422
    {'ambient': '1216.338', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1368.165', 'aut_weyl_index': 32, 'centralizer': '152.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '16.e1.a1', '152.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6121, -1, 5934, -1, 3202, -1, 6800, -1], 'generators': [30, 8, 64, 16], 'label': '1216.338.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.d1.a1', 'projective_image': '608.12', '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': '76.3'}
  • id: 70308423
    {'ambient': '1216.338', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1368.165', 'aut_weyl_index': 32, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '16.h1.a1', '152.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7537, -1, 7089, -1, 851, -1, 9150, -1], 'generators': [4, 16, 64, 8], 'label': '1216.338.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.e1.a1', 'projective_image': '608.12', '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': '152.11'}
  • id: 70308424
    {'ambient': '1216.338', 'aut_centralizer_order': 152, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '72.18', 'aut_weyl_index': 608, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.c1.a1', '16.d1.a1', '152.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3836, -1, 3061, -1, 7600, -1, 2251, -1], 'generators': [2, 608, 16, 64], 'label': '1216.338.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '608.12', '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': '4.2'}
  • id: 70308425
    {'ambient': '1216.338', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1368.165', 'aut_weyl_index': 32, 'centralizer': '152.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '152.g1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8662, -1, 8244, -1, 4797, -1, 5981, -1], 'generators': [30, 608, 64, 16], 'label': '1216.338.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.g1.a1', 'projective_image': '608.12', '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': '38.1'}
  • id: 70308426
    {'ambient': '1216.338', 'aut_centralizer_order': 152, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '72.18', 'aut_weyl_index': 608, 'centralizer': '8.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.c1.a1', '16.i1.a1', '152.h1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [604, -1, 550, -1, 9694, -1, 306, -1], 'generators': [1, 16, 2, 64], 'label': '1216.338.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.h1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308427
    {'ambient': '1216.338', 'aut_centralizer_order': 38, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1152.1755', 'aut_weyl_index': 38, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '38.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [803, 9258, 491, 9134, 7963, 8634, 2213, 8678], 'generators': [2, 8, 16, 64, 608, 1], 'label': '1216.338.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '38.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '32.6'}
  • id: 70308428
    {'ambient': '1216.338', 'aut_centralizer_order': 8, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1368.165', 'aut_weyl_index': 32, 'centralizer': '304.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1'], 'contains': ['16.d1.a1', '152.i1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2171, -1, 3767, -1, 8622, -1, 3428, -1], 'generators': [5, 610, 64, 16], 'label': '1216.338.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.a1', 'old_label': '8.i1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': '76.3'}
  • id: 70308429
    {'ambient': '1216.338', 'aut_centralizer_order': 1216, 'aut_label': '16.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '36.5', 'aut_weyl_index': 1216, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.e1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '304.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5907, 3708, 5928, 3711, 4000, 4140, 5272, 4329], 'generators': [8, 16, 64], 'label': '1216.338.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.b1.a1', '8.a1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '304.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '608.12', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 70308430
    {'ambient': '1216.338', 'aut_centralizer_order': 608, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '36.5', 'aut_weyl_index': 1216, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '32.c1.a1', '304.b1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8784, -1, 8698, -1, 5190, -1, 4584, -1], 'generators': [16, 608, 64], 'label': '1216.338.16.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.b1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 70308431
    {'ambient': '1216.338', 'aut_centralizer_order': 608, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '36.5', 'aut_weyl_index': 1216, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.f1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '32.d1.a1', '304.c1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3762, -1, 2193, -1, 8170, -1, 1306, -1], 'generators': [2, 16, 64], 'label': '1216.338.16.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308432
    {'ambient': '1216.338', 'aut_centralizer_order': 608, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '36.5', 'aut_weyl_index': 1216, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.f1.a1', '8.i1.a1'], 'contains': ['32.a1.a1', '304.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2782, -1, 4012, -1, 7334, -1, 3479, -1], 'generators': [610, 64, 16], 'label': '1216.338.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.d1.a1', 'projective_image': '608.12', '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': '4.2'}
  • id: 70308433
    {'ambient': '1216.338', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '684.28', 'aut_weyl_index': 64, 'centralizer': '152.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '304.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6591, -1, 6825, -1, 4595, -1, 6905, -1], 'generators': [30, 16, 64], 'label': '1216.338.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.e1.a1', 'projective_image': '608.12', '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': '38.1'}
  • id: 70308434
    {'ambient': '1216.338', 'aut_centralizer_order': 304, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '36.5', 'aut_weyl_index': 1216, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.b1.a1', '32.c1.a1', '304.f1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9575, -1, 9509, -1, 1813, -1, 5960, -1], 'generators': [8, 608, 64], 'label': '1216.338.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.f1.a1', 'projective_image': '1216.338', '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': '2.1'}
  • id: 70308435
    {'ambient': '1216.338', 'aut_centralizer_order': 304, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '36.5', 'aut_weyl_index': 1216, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.b1.a1', '32.d1.a1', '304.g1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4742, -1, 3005, -1, 6802, -1, 1994, -1], 'generators': [2, 8, 64], 'label': '1216.338.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '16.g1.a1', 'projective_image': '1216.338', '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': '2.1'}
  • id: 70308436
    {'ambient': '1216.338', 'aut_centralizer_order': 16, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '684.28', 'aut_weyl_index': 64, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1'], 'contains': ['32.b1.a1', '304.h1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7542, -1, 7611, -1, 640, -1, 8559, -1], 'generators': [4, 8, 64], 'label': '1216.338.16.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.h1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': '76.3'}
  • id: 70308437
    {'ambient': '1216.338', 'aut_centralizer_order': 152, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '36.5', 'aut_weyl_index': 1216, 'centralizer': '8.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1'], 'contains': ['32.d1.a1', '304.i1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [420, -1, 550, -1, 9580, -1, 200, -1], 'generators': [1, 64, 2], 'label': '1216.338.16.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '16.i1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308438
    {'ambient': '1216.338', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '304.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.e1.a1', '4.f1.a1', '38.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6591, 3061, 5560, 3191, 3130, 2781, 6871, 3014], 'generators': [24, 16, 64, 608, 4, 2], 'label': '1216.338.2.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.b1.a1', '4.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '304.13'}
  • id: 70308439
    {'ambient': '1216.338', 'aut_centralizer_order': 18, 'aut_label': '19.a1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 342, 'centralizer': '608.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['38.a1.a1', '38.b1.a1', '38.c1.a1'], 'core': '38.a1.a1', 'coset_action_label': None, 'count': 19, 'diagramx': [1633, -1, 809, -1, 7089, -1, 3087, -1], 'generators': [1, 4], 'label': '1216.338.19.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1.a1', 'old_label': '19.a1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19.a1.a1', 'subgroup_fusion': None, 'weyl_group': '32.6'}
  • id: 70308440
    {'ambient': '1216.338', 'aut_centralizer_order': 2432, 'aut_label': '32.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '18.2', 'aut_weyl_index': 2432, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '608.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5907, 1300, 5774, 1402, 5144, 4404, 4369, 4584], 'generators': [16, 64], 'label': '1216.338.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '608.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '608.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308441
    {'ambient': '1216.338', 'aut_centralizer_order': 1216, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '18.2', 'aut_weyl_index': 2432, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.f1.a1', '16.g1.a1', '16.h1.a1'], 'contains': ['64.a1.a1', '608.b1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7421, -1, 7268, -1, 3404, -1, 5112, -1], 'generators': [8, 64], 'label': '1216.338.32.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.b1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308442
    {'ambient': '1216.338', 'aut_centralizer_order': 608, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '18.2', 'aut_weyl_index': 2432, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.f1.a1'], 'contains': ['64.a1.a1', '608.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9100, -1, 9286, -1, 3776, -1, 4740, -1], 'generators': [608, 64], 'label': '1216.338.32.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.c1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308443
    {'ambient': '1216.338', 'aut_centralizer_order': 608, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '18.2', 'aut_weyl_index': 2432, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.g1.a1', '16.i1.a1'], 'contains': ['64.a1.a1', '608.d1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4049, -1, 2657, -1, 8022, -1, 1901, -1], 'generators': [2, 64], 'label': '1216.338.32.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.d1.a1', 'projective_image': '1216.338', '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': '1.1'}
  • id: 70308444
    {'ambient': '1216.338', 'aut_centralizer_order': 684, 'aut_label': '38.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.138', 'aut_weyl_index': 684, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '19.a1.a1'], 'contains': ['76.a1.a1', '76.d1.a1'], 'core': '38.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1060, 9243, 809, 8951, 7866, 8634, 2310, 8678], 'generators': [1, 608], 'label': '1216.338.38.a1.a1', 'mobius_quo': 0, 'mobius_sub': 19, 'normal_closure': '38.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['76.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '38.a1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38.a1.a1', 'subgroup_fusion': None, 'weyl_group': '32.6'}
  • id: 70308445
    {'ambient': '1216.338', 'aut_centralizer_order': 36, 'aut_label': '38.b1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '64.202', 'aut_weyl_index': 684, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '19.a1.a1'], 'contains': ['76.a1.a1', '76.b1.a1', '76.c1.a1', '76.e1.a1', '76.f1.a1'], 'core': '76.a1.a1', 'coset_action_label': None, 'count': 19, 'diagramx': [5989, -1, 4913, -1, 2459, -1, 7542, -1], 'generators': [2, 4, 608], 'label': '1216.338.38.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1.a1', 'old_label': '38.b1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 70308446
    {'ambient': '1216.338', 'aut_centralizer_order': 36, 'aut_label': '38.c1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '64.138', 'aut_weyl_index': 684, 'centralizer': '608.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '19.a1.a1'], 'contains': ['76.a1.a1', '76.g1.a1'], 'core': '76.a1.a1', 'coset_action_label': None, 'count': 19, 'diagramx': [2021, -1, 2154, -1, 7191, -1, 2985, -1], 'generators': [5, 608], 'label': '1216.338.38.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1.a1', 'old_label': '38.c1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38.c1.a1', 'subgroup_fusion': None, 'weyl_group': '32.6'}
  • id: 70308447
    {'ambient': '1216.338', 'aut_centralizer_order': 2432, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '18.2', 'aut_weyl_index': 2432, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.d1.a1'], 'contains': ['1216.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7290, 742, 7139, 866, 4363, 4404, 4740, 4584], 'generators': [64], 'label': '1216.338.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['1216.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '1216.338', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.6', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308448
    {'ambient': '1216.338', 'aut_centralizer_order': 1368, 'aut_label': '76.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1368, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '38.a1.a1', '38.b1.a1', '38.c1.a1'], 'contains': ['152.a1.a1', '152.b1.a1', '152.c1.a1', '152.f1.a1'], 'core': '76.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3647, 6483, 3070, 6374, 6186, 8634, 2888, 8678], 'generators': [2, 8, 608], 'label': '1216.338.76.a1.a1', 'mobius_quo': 0, 'mobius_sub': -38, 'normal_closure': '76.a1.a1', 'normal_contained_in': ['4.a1.a1', '38.a1.a1'], 'normal_contains': ['152.b1.a1', '152.a1.a1', '152.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '76.a1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 70308449
    {'ambient': '1216.338', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '608.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.g1.a1', '38.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2074, 6350, 2363, 6345, 6288, 5888, 3888, 6020], 'generators': [24, 16, 64, 610, 608, 5], 'label': '1216.338.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '608.12'}
  • id: 70308450
    {'ambient': '1216.338', 'aut_centralizer_order': 144, 'aut_label': '76.b1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2736, 'centralizer': '76.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '38.b1.a1'], 'contains': ['152.a1.a1', '152.d1.a1', '152.g1.a1'], 'core': '152.a1.a1', 'coset_action_label': None, 'count': 19, 'diagramx': [7459, -1, 6860, -1, 2459, -1, 7542, -1], 'generators': [30, 8, 608], 'label': '1216.338.76.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1.a1', 'old_label': '76.b1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 70308451
    {'ambient': '1216.338', 'aut_centralizer_order': 72, 'aut_label': '76.c1', 'aut_quo_index': None, 'aut_stab_index': 19, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1368, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '38.b1.a1'], 'contains': ['152.a1.a1', '152.e1.a1'], 'core': '152.a1.a1', 'coset_action_label': None, 'count': 19, 'diagramx': [8114, -1, 7727, -1, 201, -1, 9799, -1], 'generators': [4, 608], 'label': '1216.338.76.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '19.a1.a1', 'old_label': '76.c1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.c1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 70308452
    {'ambient': '1216.338', 'aut_centralizer_order': 1368, 'aut_label': '76.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2736, 'centralizer': '16.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '38.a1.a1'], 'contains': ['152.b1.a1', '152.h1.a1'], 'core': '152.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1060, -1, 809, -1, 9111, -1, 888, -1], 'generators': [1, 8], 'label': '1216.338.76.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '38.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '76.d1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 70308453
    {'ambient': '1216.338', 'aut_centralizer_order': 72, 'aut_label': '76.e1', 'aut_quo_index': None, 'aut_stab_index': 38, 'aut_weyl_group': '16.14', 'aut_weyl_index': 2736, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '38.b1.a1'], 'contains': ['152.b1.a1', '152.d1.a1', '152.e1.a1'], 'core': '152.b1.a1', 'coset_action_label': None, 'count': 38, 'diagramx': [6063, -1, 5157, -1, 1889, -1, 8112, -1], 'generators': [2, 4], 'label': '1216.338.76.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '38.b1.a1', 'old_label': '76.e1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 70308454
    {'ambient': '1216.338', 'aut_centralizer_order': 72, 'aut_label': '76.f1', 'aut_quo_index': None, 'aut_stab_index': 38, 'aut_weyl_group': '16.14', 'aut_weyl_index': 2736, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '38.b1.a1'], 'contains': ['152.c1.a1', '152.d1.a1', '152.e1.a1'], 'core': '152.c1.a1', 'coset_action_label': None, 'count': 38, 'diagramx': [5563, -1, 5858, -1, 1454, -1, 8546, -1], 'generators': [634, 4], 'label': '1216.338.76.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '38.b1.a1', 'old_label': '76.f1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 70308455
    {'ambient': '1216.338', 'aut_centralizer_order': 72, 'aut_label': '76.g1', 'aut_quo_index': None, 'aut_stab_index': 38, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2736, 'centralizer': '304.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '38.c1.a1'], 'contains': ['152.c1.a1', '152.i1.a1'], 'core': '152.c1.a1', 'coset_action_label': None, 'count': 38, 'diagramx': [2035, -1, 4041, -1, 8157, -1, 3892, -1], 'generators': [5, 8], 'label': '1216.338.76.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '38.c1.a1', 'old_label': '76.g1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '76.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 70308456
    {'ambient': '1216.338', 'aut_centralizer_order': 5472, 'aut_label': '152.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 5472, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '76.a1.a1', '76.b1.a1', '76.c1.a1'], 'contains': ['304.a1.a1', '304.b1.a1', '304.f1.a1'], 'core': '152.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7751, 2870, 7508, 3149, 2906, 5846, 6479, 5980], 'generators': [8, 16, 608], 'label': '1216.338.152.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '152.a1.a1', 'normal_contained_in': ['8.a1.a1', '76.a1.a1'], 'normal_contains': ['304.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '152.a1.a1', 'projective_image': '608.12', 'quotient_action_image': '4.1', 'quotient_action_kernel': '38.1', 'quotient_action_kernel_order': 38, 'quotient_fusion': None, 'short_label': '152.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 70308457
    {'ambient': '1216.338', 'aut_centralizer_order': 5472, 'aut_label': '152.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 5472, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '76.a1.a1', '76.d1.a1', '76.e1.a1'], 'contains': ['304.a1.a1', '304.c1.a1', '304.g1.a1'], 'core': '152.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4412, 6732, 3001, 4993, 6283, 6983, 2513, 7081], 'generators': [2, 8, 16], 'label': '1216.338.152.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '152.b1.a1', 'normal_contained_in': ['8.b1.a1', '76.a1.a1'], 'normal_contains': ['304.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '152.b1.a1', 'projective_image': '608.12', 'quotient_action_image': '8.3', 'quotient_action_kernel': '19.1', 'quotient_action_kernel_order': 19, 'quotient_fusion': None, 'short_label': '152.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 70308458
    {'ambient': '1216.338', 'aut_centralizer_order': 5472, 'aut_label': '152.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 5472, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '76.a1.a1', '76.f1.a1', '76.g1.a1'], 'contains': ['304.a1.a1', '304.d1.a1'], 'core': '152.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3350, 5131, 4818, 6529, 5823, 8495, 3951, 8544], 'generators': [634, 8], 'label': '1216.338.152.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '152.c1.a1', 'normal_contained_in': ['8.c1.a1', '76.a1.a1'], 'normal_contains': ['304.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '152.c1.a1', 'projective_image': '608.12', 'quotient_action_image': '8.3', 'quotient_action_kernel': '19.1', 'quotient_action_kernel_order': 19, 'quotient_fusion': None, 'short_label': '152.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 70308459
    {'ambient': '1216.338', 'aut_centralizer_order': 288, 'aut_label': '152.d1', 'aut_quo_index': None, 'aut_stab_index': 38, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10944, 'centralizer': '76.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '76.b1.a1', '76.e1.a1', '76.f1.a1'], 'contains': ['304.a1.a1', '304.e1.a1'], 'core': '304.a1.a1', 'coset_action_label': None, 'count': 38, 'diagramx': [5989, -1, 5969, -1, 2446, -1, 8019, -1], 'generators': [30, 8], 'label': '1216.338.152.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '38.b1.a1', 'old_label': '152.d1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308460
    {'ambient': '1216.338', 'aut_centralizer_order': 76, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '576.1835', 'aut_weyl_index': 76, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.f1.a1', '76.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3593, 6233, 2712, 6317, 5739, 5888, 3572, 6020], 'generators': [64, 16, 608, 8, 2], 'label': '1216.338.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '8.a1.a1', '8.c1.a1', '76.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 70308461
    {'ambient': '1216.338', 'aut_centralizer_order': 288, 'aut_label': '152.e1', 'aut_quo_index': None, 'aut_stab_index': 38, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10944, 'centralizer': '152.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '76.c1.a1', '76.e1.a1', '76.f1.a1'], 'contains': ['304.a1.a1', '304.h1.a1'], 'core': '304.a1.a1', 'coset_action_label': None, 'count': 38, 'diagramx': [7037, -1, 6900, -1, 1180, -1, 9099, -1], 'generators': [4, 16], 'label': '1216.338.152.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '38.b1.a1', 'old_label': '152.e1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 70308462
    {'ambient': '1216.338', 'aut_centralizer_order': 2736, 'aut_label': '152.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10944, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '76.a1.a1'], 'contains': ['304.b1.a1', '304.c1.a1', '304.d1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3854, -1, 3508, -1, 7672, -1, 2838, -1], 'generators': [2, 608], 'label': '1216.338.152.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '76.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '152.f1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 70308463
    {'ambient': '1216.338', 'aut_centralizer_order': 144, 'aut_label': '152.g1', 'aut_quo_index': None, 'aut_stab_index': 76, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10944, 'centralizer': '76.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '76.b1.a1'], 'contains': ['304.b1.a1', '304.e1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 76, 'diagramx': [8614, -1, 8240, -1, 3366, -1, 7445, -1], 'generators': [30, 608], 'label': '1216.338.152.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '76.b1.a1', 'old_label': '152.g1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308464
    {'ambient': '1216.338', 'aut_centralizer_order': 2736, 'aut_label': '152.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10944, 'centralizer': '8.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '76.d1.a1'], 'contains': ['304.c1.a1', '304.i1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1060, -1, 809, -1, 9107, -1, 673, -1], 'generators': [1, 16], 'label': '1216.338.152.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '38.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '152.h1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308465
    {'ambient': '1216.338', 'aut_centralizer_order': 144, 'aut_label': '152.i1', 'aut_quo_index': None, 'aut_stab_index': 76, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10944, 'centralizer': '152.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '76.g1.a1'], 'contains': ['304.d1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 76, 'diagramx': [2350, -1, 4041, -1, 8668, -1, 3141, -1], 'generators': [5], 'label': '1216.338.152.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '76.g1.a1', 'old_label': '152.i1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '152.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308466
    {'ambient': '1216.338', 'aut_centralizer_order': 21888, 'aut_label': '304.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '152.a1.a1', '152.b1.a1', '152.c1.a1', '152.d1.a1', '152.e1.a1'], 'contains': ['608.a1.a1', '608.b1.a1'], 'core': '304.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5975, 3752, 6402, 3994, 4439, 5846, 5816, 5980], 'generators': [8, 16], 'label': '1216.338.304.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '304.a1.a1', 'normal_contained_in': ['16.a1.a1', '152.b1.a1', '152.a1.a1', '152.c1.a1'], 'normal_contains': ['608.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '304.a1.a1', 'projective_image': '608.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '152.11', 'quotient_action_kernel_order': 152, 'quotient_fusion': None, 'short_label': '304.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308467
    {'ambient': '1216.338', 'aut_centralizer_order': 10944, 'aut_label': '304.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '152.a1.a1', '152.f1.a1', '152.g1.a1'], 'contains': ['608.a1.a1', '608.c1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7751, -1, 7532, -1, 4785, -1, 5470, -1], 'generators': [16, 608], 'label': '1216.338.304.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '152.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '304.b1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308468
    {'ambient': '1216.338', 'aut_centralizer_order': 10944, 'aut_label': '304.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '152.b1.a1', '152.f1.a1', '152.h1.a1'], 'contains': ['608.a1.a1', '608.d1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3830, -1, 2592, -1, 7663, -1, 2259, -1], 'generators': [2, 16], 'label': '1216.338.304.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '152.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '304.c1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308469
    {'ambient': '1216.338', 'aut_centralizer_order': 10944, 'aut_label': '304.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '4.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '152.c1.a1', '152.f1.a1', '152.i1.a1'], 'contains': ['608.a1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3350, -1, 4385, -1, 7334, -1, 3479, -1], 'generators': [610], 'label': '1216.338.304.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '152.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '304.d1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308470
    {'ambient': '1216.338', 'aut_centralizer_order': 288, 'aut_label': '304.e1', 'aut_quo_index': None, 'aut_stab_index': 76, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '76.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '152.d1.a1', '152.g1.a1'], 'contains': ['608.a1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 76, 'diagramx': [6349, -1, 6955, -1, 4114, -1, 7175, -1], 'generators': [30], 'label': '1216.338.304.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '76.b1.a1', 'old_label': '304.e1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308471
    {'ambient': '1216.338', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '152.a1.a1', 'complements': ['304.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.g1.a1', '76.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8100, 3194, 7667, 1387, 3835, 3017, 6167, 1322], 'generators': [16, 64, 608, 8, 30], 'label': '1216.338.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '608.12', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '152.4'}
  • id: 70308472
    {'ambient': '1216.338', 'aut_centralizer_order': 5472, 'aut_label': '304.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '152.a1.a1'], 'contains': ['608.b1.a1', '608.c1.a1'], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8497, -1, 8562, -1, 2999, -1, 6162, -1], 'generators': [8, 608], 'label': '1216.338.304.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '152.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '304.f1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308473
    {'ambient': '1216.338', 'aut_centralizer_order': 5472, 'aut_label': '304.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '152.b1.a1'], 'contains': ['608.b1.a1', '608.d1.a1'], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4559, -1, 3001, -1, 6545, -1, 2605, -1], 'generators': [2, 8], 'label': '1216.338.304.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '152.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '304.g1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308474
    {'ambient': '1216.338', 'aut_centralizer_order': 288, 'aut_label': '304.h1', 'aut_quo_index': None, 'aut_stab_index': 76, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '152.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '152.e1.a1'], 'contains': ['608.b1.a1'], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 76, 'diagramx': [8124, -1, 7966, -1, 1180, -1, 8559, -1], 'generators': [4], 'label': '1216.338.304.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '76.f1.a1', 'old_label': '304.h1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 70308475
    {'ambient': '1216.338', 'aut_centralizer_order': 2736, 'aut_label': '304.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 21888, 'centralizer': '8.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '152.h1.a1'], 'contains': ['608.d1.a1'], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1060, -1, 809, -1, 9107, -1, 673, -1], 'generators': [1], 'label': '1216.338.304.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '38.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '304.i1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '304.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308476
    {'ambient': '1216.338', 'aut_centralizer_order': 43776, 'aut_label': '608.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 43776, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '304.a1.a1', '304.b1.a1', '304.c1.a1', '304.d1.a1', '304.e1.a1'], 'contains': ['1216.a1.a1'], 'core': '608.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5975, 1666, 6402, 1753, 4785, 5513, 5120, 5658], 'generators': [16], 'label': '1216.338.608.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '608.a1.a1', 'normal_contained_in': ['32.a1.a1', '304.a1.a1'], 'normal_contains': ['1216.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '608.a1.a1', 'projective_image': '608.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '608.12', 'quotient_action_kernel_order': 608, 'quotient_fusion': None, 'short_label': '608.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308477
    {'ambient': '1216.338', 'aut_centralizer_order': 21888, 'aut_label': '608.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 43776, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '304.a1.a1', '304.f1.a1', '304.g1.a1', '304.h1.a1'], 'contains': ['1216.a1.a1'], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7300, -1, 7966, -1, 3522, -1, 5791, -1], 'generators': [8], 'label': '1216.338.608.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '304.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '608.b1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '608.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308478
    {'ambient': '1216.338', 'aut_centralizer_order': 10944, 'aut_label': '608.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 43776, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '304.b1.a1', '304.f1.a1'], 'contains': ['1216.a1.a1'], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7906, -1, 8428, -1, 3860, -1, 5445, -1], 'generators': [608], 'label': '1216.338.608.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '152.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '608.c1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '608.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308479
    {'ambient': '1216.338', 'aut_centralizer_order': 10944, 'aut_label': '608.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 43776, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '304.c1.a1', '304.g1.a1', '304.i1.a1'], 'contains': ['1216.a1.a1'], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4121, -1, 2592, -1, 7663, -1, 2259, -1], 'generators': [2], 'label': '1216.338.608.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '152.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '608.d1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '608.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308480
    {'ambient': '1216.338', 'aut_centralizer_order': None, 'aut_label': '1216.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '608.a1.a1', '608.b1.a1', '608.c1.a1', '608.d1.a1'], 'contains': [], 'core': '1216.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6616, 1196, 7966, 1345, 4363, 4958, 5120, 5121], 'generators': [], 'label': '1216.338.1216.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1216.a1.a1', 'normal_contained_in': ['64.a1.a1', '608.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1216.a1.a1', 'projective_image': '1216.338', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1216.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 70308481
    {'ambient': '1216.338', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '304.a1.a1', 'complements': ['304.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '76.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9245, 742, 8842, 3740, 1070, 700, 8930, 3564], 'generators': [16, 64, 8, 608, 4], 'label': '1216.338.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '608.12', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '304.13'}
  • id: 70308482
    {'ambient': '1216.338', 'aut_centralizer_order': 76, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '288.368', 'aut_weyl_index': 152, 'centralizer': '16.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.h1.a1', '76.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [478, -1, 491, -1, 8926, -1, 1205, -1], 'generators': [2, 16, 64, 8, 1], 'label': '1216.338.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 70308483
    {'ambient': '1216.338', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '304.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '76.e1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6591, -1, 5560, -1, 3130, -1, 6871, -1], 'generators': [16, 64, 24, 4, 2], 'label': '1216.338.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.e1.a1', 'projective_image': '608.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '152.11'}